Most celebra-of these papers were presented at the Symposium on Recent Advances and New Directions in Mechanics, Continuum Thermodynamics, and Kinetic Theory – In Memory of Clifford A..
Trang 2The Rational Spirit in Modern Continuum
Mechanics
Essays and Papers Dedicated to the Memory of
Clifford Ambrose Truesdell III
KLUWER ACADEMIC PUBLISHERS
NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW
Trang 3Print ISBN: 1-4020-1828-2
©2005 Springer Science + Business Media, Inc.
Print ©2004 Kluwer Academic Publishers
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No part of this eBook may be reproduced or transmitted in any form or by any means, electronic, mechanical, recording, or otherwise, without written consent from the Publisher
Created in the United States of America
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and the Springer Global Website Online at: http://www.springeronline.com
Dordrecht
Trang 5Portrait by Joseph Sheppard v
WALTER NOLL / The Genesis of Truesdell’s Nonlinear Field Theories of
D SPEISER / Clifford A Truesdell’s Contributions to the Euler and the
STUART S ANTMAN / Invariant Dissipative Mechanisms for the Spatial
MILLARD F BEATTY / An Average-Stretch Full-Network Model for Rubber
MICHELE BUONSANTI and GIANNI ROYER-CARFAGNI / From 3-D
GIOVANNI BURATTI, YONGZHONG HUO and INGO MÜLLER / Eshelby
SANDRO CAPARRINI and FRANCO PASTRONE / E Frola (1906–1962):
GIANFRANCO CAPRIZ and PAOLO MARIA MARIANO / Symmetries and
DONALD E CARLSON, ELIOT FRIED and DANIEL A TORTORELLI /
vii Photograph: Baltimore, Maryland, 1978
Trang 6YI-CHAO CHEN / Second Variation Condition and Quadratic Integral
ELENA CHERKAEV and ANDREJ CHERKAEV / Principal Compliance and
CESARE DAVINI and ROBERTO PARONI / Generalized Hessian and
F DELL’ISOLA, G SCIARRA and R.C BATRA / Static Deformations of a
GIANPIETRO DEL PIERO / A Class of Fit Regions and a Universe of Shapes
LUCA DESERI and DAVID R OWEN / Toward a Field Theory for Elastic
MARCELO EPSTEIN and IOAN BUCATARU / Continuous Distributions of
MAURO FABRIZIO and MURROUGH GOLDEN / Minimum Free Energies
ROGER FOSDICK and LEV TRUSKINOVSKY / About Clapeyron’s
M FOSS, W HRUSA and V.J MIZEL / The Lavrentiev Phenomenon in
GIOVANNI P GALDI / Steady Flow of a Navier–Stokes Fluid around a
TIMOTHY J HEALEY and ERROL L MONTES-PIZARRO / Global
Bifurc-ation in Nonlinear Elasticity with an ApplicBifurc-ation to Barrelling States
MOJIA HUANG and CHI-SING MAN / Constitutive Relation of Elastic
MASARU IKEHATA and GEN NAKAMURA / Reconstruction Formula for
I-SHIH LIU / On the Transformation Property of the Deformation Gradient
R.J KNOPS and PIERO VILLAGGIO / An Approximate Treatment of Blunt
C
Trang 7KONSTANTIN A LURIE / Some New Advances in the Theory of Dynamic
PABLO V NEGRÓN-MARRERO / The Hanging Rope of Minimum
G RODNAY and R SEGEV / Cauchy’s Flux Theorem in Light of Geometric
U SARAVANAN and K.R RAJAGOPAL / A Comparison of the Response
of Isotropic Inhomogeneous Elastic Cylindrical and Spherical Shells
Trang 8Through his voluminous and influential writings, editorial activities, tional leadership, intellectual acumen, and strong sense of history, Clifford Am-brose Truesdell III (1919–2000) was the main architect for the renaissance of ra-tional continuum mechanics since the middle of the twentieth century The presentcollection of 42 essays and research papers pays tribute to this man of mathematics,science, and natural philosophy as well as to his legacy.
organiza-The first five essays by B.D Coleman, E Giusti, W Noll, J Serrin, and
D Speiser were texts of addresses given by their authors at the Meeting in memory
of Clifford Truesdell, which was held in Pisa in November 2000 In these essays the
reader will find personal reminiscences of Clifford Truesdell the man and of some
of his activities as scientist, author, editor, historian of exact sciences, and principalfounding member of the Society for Natural Philosophy
The bulk of the collection comprises 37 research papers which bear witness tothe Truesdellian legacy These papers cover a wide range of topics; what ties themtogether is the rational spirit Clifford Truesdell, in his address upon receipt of aBirkhoff Prize in 1978, put the essence of modern continuum mechanics succinctly
as “conceptual analysis, analysis not in the sense of the technical term but in the
root meaning: logical criticism, dissection, and creative scrutiny.” It is in tion of this spirit and this essence that these research papers are dedicated to thememory of their bearer, driving force, and main promoter for half a century Most
celebra-of these papers were presented at the Symposium on Recent Advances and New Directions in Mechanics, Continuum Thermodynamics, and Kinetic Theory – In Memory of Clifford A Truesdell III, held in Blacksburg, Virginia, in June 2002; parts of two papers were delivered at the meeting Remembering Clifford Truesdell,
held in Turin in November 2002; and the rest was written especially for the presentcollection
The portrait, a photo of which serves as the frontispiece of this collection,
adorns the Clifford A Truesdell III Room of History of Science in the library of
and permanently houses Clifford Truesdell’s previously private collection of books,papers, and correspondence We are grateful to Mrs Charlotte Truesdell for helping
us secure a digital file of this photo and for providing us with the list of publishedworks of Clifford Truesdell
xi
the Scuola Normale Superiore (Pisa, Italy), which was inaugurated in October 2003
Trang 9Clifford Ambrose Truesdell III
The year of publication is omitted from the entry unless it differs from the yearunder which the entry is listed Letters following a number indicate subsidiaryseparate publications, as follows:
P Preliminary report or preprint,
A Abstract, separately published or only published version,
C Condensed or extracted version,
L Lecture concerning part or all of the contents of main entry,
Math-lished in other journals
1943
1 (Co-author P NEMÉNYI) A stress function for the membrane theory of shells
of revolution, Proceedings of the National Academy of Sciences (U.S.A.) 29,
159–162
Other publication in 1943: No 3A1
1944
2 ALONZO CHURCH, Introduction to Mathematical Logic, Part I, Notes by
C.A TRUESDELL, Annals of Mathematics Studies No 13, Princeton, versity Press, vi+ 118 pp
Uni- Note by the editors: This list and the list on p 29 are slightly edited versions of those that we received from Mrs C Truesdell, to whom we are heartily grateful In our editorial work we have added a few entries, updated several items, and made a small number of other minor corrections To G.P Galdi, K Hutter, R.G Muncaster, F Pastrone, and D Speiser, we are beholden for their help in tracking down article titles and numbers of journal volumes In what follows, explanatory remarks set off by square brackets were made by Clifford Truesdell himself.
xiii
Trang 103 The membrane theory of shells of revolution, Transactions of the American
Mathematical Society 58, 96–166.
3A1 The differential equations of the membrane theory of shells of
revolu-tion, Bulletin of the American Mathematical Society 49 (1943), 863–
(2n + 1) −2m−1 , etc., Annals of Mathematics 46, 194–195.
Other publication in 1945: No 12A1
1946
6 (Co-author R.C PRIM) On Linearized Axially Symmetric Flow of a pressible Fluid, U.S Naval Ordnance Laboratory Memorandum 8885, 16 De-
Com-cember, 4 pp
7 On Behrbohm and Pinl’s linearization of the equation of two-dimensional
steady polytropic flow of a compressible fluid, Proceedings of the National
Academy of Sciences (U.S.A.) 32, 289–293 = U.S Naval Ordnance tory Memorandum 8888, 18 December, 6 pp
Labora-7A On Behrbohm and Pinl’s linearization of the two dimensional steady
flow of a compressible adiabatic fluid, Bulletin of the American
9 (Co-author R.N SCHWARTZ) The Newtonian mechanics of continua, U.S.
Naval Ordnance Laboratory Memorandum 9223, 18 July, 25 pp
9A (Co-author R SCHWARTZ) On the Newtonian Mechanics of Continua,
Bulletin of the American Mathematical Society 53, 1125.
10 A note on the Poisson–Charlier functions, Annals of Mathematical Statistics
18, 450–454.
11 Review of L Brand’s “Vector and Tensor Analysis”, Science 106, 623.
Other publications in 1947: Nos 7A, 12A3, 13P, 14P, 16P, 16A, 23P, 48P
Trang 1112A1 On the functional equation ∂F (z, α)/∂z = F (z, α +1), Bulletin of the
American Mathematical Society 51 (1945), 883.
12A2 On a class of differential-difference equations, Bulletin of the
Ameri-can Mathematical Society 52 (1946), 823.
12A3 On the Functional Equation (∂/∂z)F (z, a) = F (z, a + 1), U.S Naval
Ordnance Laboratory Memorandum 8975, 17 February 1947, 13 pp.=
Proceedings of the National Academy of Sciences (U.S.A.) 33 (1947),
82–93
12A4 A unified theory of special functions, American Mathematical Monthly
56 (1949), 368.
12L Une méthode nouvelle concernant les fonctions spéciales, pp 53–72
of Three Lectures on Mathematics and Mechanics, U.S Naval
Research Laboratory Theoretical Mechanics Section Memorandum
14P The Energy Theorem for Newtonian Continua, U.S Naval Ordnance
Laboratory Memorandum 9224, 21 July 1947, 8 pp
15 A New Definition of a Fluid, U.S Naval Ordnance Laboratory Memorandum
9487, 5 January, 31 pp
15A1 On the differential equations of slip flow, Proceedings of the National
Academy of Sciences (U.S.A.) 34, 342–347.
15A2 On the differential equations for slip flow, Physical Review (2) 73,
1255
16 On the reliability of the membrane theory of shells of revolution, Bulletin of
the American Mathematical Society 54, 994–1008.
16P Same title, U.S Naval Ordnance Laboratory Memorandum 9270, 14August 1947, 15 pp
16A Same title, Bulletin of the American Mathematical Society 53 (1947),
1125
17 Généralisation de la formule de Cauchy et des théorèmes de Helmholtz au
mouvement d’un milieu continu quelconque, Comptes Rendus Hebdomadaires
des Séances de l’Académie des Sciences (Paris) 227, 757–759.
17L Sur la cinématique des mouvements tourbillonaires, pp 3–20, 73–74
of Three Lectures on Mathematics and Mechanics, U.S Naval
Research Laboratory Theoretical Mechanics Section Memorandum
No 3836-1, August 1, 1949
Trang 1218 Une formule pour le vecteur tourbillon d’un fluide visqueux élastique, Comptes
Rendus Hebdomadaires des Séances de l’Académie des Sciences (Paris) 227,
821–823
18L Des théorèmes tourbillonaires de la mécanique des fluides, pp 21–37,
75–76 of Three Lectures on Mathematics and Mechanics, U.S Naval
Research Laboratory Theoretical Mechanics Section Memorandum
No 3836-1, August 1, 1949
Other publications in 1948: Nos 19P, 32P, 64P
1949
19 The effect of viscosity on circulation, Journal of Meteorology 6, 61–62.
19P Same title, U.S Naval Ordnance Laboratory Memorandum 9516, 27January 1948, 6 pp
19A Same title, Physical Review (2) 76 (1949), 192–193.
20 Deux formes de la transformation de Green, Comptes Rendus Hebdomadaires
des Séances de l’Académie des Sciences (Paris) 229, 1199–1200.
Other publications in 1949: Nos 12A4, 12L, 17L, 18L, 22P, 26P, 26L1, 26L2,26L3A, 29P, 35P, 64A
23 (Co-author R PRIM) A derivation of Zorawski’s criterion for permanent
vectorlines, Proceedings of the American Mathematical Society 1, 32–34.
23P (Co-author R.C PRIM) Zorawski’s Kinematic Theorems, U.S Naval
Ordnance Laboratory Memorandum No 9354, 20 September 1947,
4 pp
24 On the effect of a current of ionized air upon the earth’s magnetic field,
Journal of Geophysical Research 55, 247–260; 56 (1951), 134.
25 On the balance between deformation and rotation in the motion of a
contin-uous medium, Journal of the Washington Academy of Sciences 40, 313–317.
26 A new definition of a fluid, I: The Stokesian fluid, Journal de Mathématiques
Pures et Appliquées (9) 29, 215–244; 30 (1951), 156–158.
26P Same title, pp 351–364 of Proceedings of the 7th International Congress of Applied Mechanics (1948), Volume 2, 1949 = [withminor alterations] U.S Naval Research Laboratory Report P-3457,April 26, 1949, iv+ 11 pp
Trang 1326L1 Deformation: Elastic, plastic, and fluid masses, Research Reviews
(U.S Office of Naval Research), 15 April 1949, pp 10–14
26L2 Une définition nouvelle des fluides, pp 38–52, 76 of Three Lectures
on Mathematics and Mechanics, U.S Naval Research Laboratory
Theoretical Mechanics Section Memorandum No 3836-1, August 1,1949
26L3A Recent continuum theories of fluid dynamics, Physical Review (2)
75 (1949), 1293.
27 On the addition and multiplication theorems for special functions,
Proceed-ings of the National Academy of Sciences (U.S.A.) 36, 752–755.
28 The effect of the compressibility of the earth on its magnetic field, Physical
30 Vorticity averages, Canadian Journal of Mathematics 3, 69–86.
30A1 On Poincaré’s analogy between vorticity and mass density, Bulletin
of the American Mathematical Society 56 (1950), 347.
30A2 Vorticity averages, Physical Review (2) 79 (1950), 229.
31 Verallgemeinerung und Vereinheitlichung der Wirbelsätze ebener und
rota-tionssymmetrischer Flüssigkeitsbewegungen, Zeitschrift für Angewandte
Mathematik und Mechanik 31, 65–71.
31A A new vorticity theorem, pp 639–640 of Proceedings of the national Congress of Mathematicians, 1950, Volume 1, 1952.
Inter-32 On Ertel’s vorticity theorem, Zeitschrift für Angewandte Mathematik und
Phys-ik 2, 109–114.
32P On Ertel’s Theorem of the Diffusion of Vorticity, U.S Naval
Ord-nance Laboratory Memorandum No 9528, 3 February 1948, 8 pp
33 Caractérisation des champs vectoriels qui s’annulent sur une frontière fermée,
Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences
(Paris) 232, 1277–1279.
34 Analogue tri-dimensionnel au théorème de M Synge concernant les champs
vectoriels qui s’annulent sur une frontière fermée, Comptes Rendus
Hebdo-madaires des Séances de l’Académie des Sciences (Paris) 232, 1396–1397.
35 A new definition of a fluid, II: The Maxwellian fluid, Journal de
Mathéma-tiques Pures et Appliquées (9) 30, 111–155.
35P Same title, U.S Naval Research Laboratory Report No 3553, tember 20, 1949, viii+ 36 pp
Trang 14Sep-36 Proof that Ertel’s vorticity theorem holds in average for any medium
suffer-ing no tangential acceleration on the boundary, Geofisica Pura e Applicata
39 The analogy between irrotational gas flow and minimal surfaces, Journal of
the Aeronautical Sciences 18, 502.
40A Severe pure shear of an elastic body, Indiana Academy of Science
Proceed-ings 61, 271.
41 Discussion of the paper by W.R Osgood and J.A Joseph, “On the general
theory of thin shells”, Journal of Applied Mechanics 18, 231–232.
42 Review of J.L Synge and R.A Griffith’s “Principles of Mechanics”, 2nd
edn, American Mathematical Monthly 57, 351–354.
Other publications in 1951: Nos 24 (corrections), 26 (corrections), 54A1
1952
43 The mechanical foundations of elasticity and fluid dynamics, Journal of
Rational Mechanics and Analysis 1, 125–300; 2 (1953), 593–616; 3 (1954),
801
43R [corrected, with a preface, annotations, and appendices (1962)],
pp i–vxi, 1–186, 204–214 of Continuum Mechanics I, New York,
Gordon & Breach, 1966
44 A program of physical research in classical mechanics, Zeitschrift für
Ange-wandte Mathematik und Physik 3, 79–95.
44R [corrected and annotated] pp 187–203, 215–218 of Continuum chanics I, New York, Gordon & Breach, 1966.
Me-45 On the viscosity of fluids according to the kinetic theory, Zeitschrift für
Physik 131, 273–289.
46 On curved shocks in steady plane flow of an ideal fluid, Journal of the
Aeronautical Sciences 19, 826–828.
47 Longueur critique pour la propagation des ondes libres dans un fluide
visqu-eux, Comptes Rendus Hebdomadaires des Séances de l’Académie des
Sci-ences (Paris) 235, 702–704.
48 Vorticity and the Thermodynamic State in a Gas Flow, Mémorial des
Sci-ences Mathématiques No 119, Paris, Gauthier-Villars, 56 pp
48P (Co-author R.C PRIM) Vorticity and the Thermodynamic State in the Flow of an Inviscid Fluid, U.S Naval Ordnance Laboratory Memo-
randum 9416, 12 November 1947, 14 pp
49 Review of “Advances in Applied Mechanics”, Volume 2, Bulletin of the
American Mathematical Society 58, 403–407.
Trang 1550 Review of F.D Murnaghan’s “Finite Deformation of an Elastic Solid”,
Bul-letin of the American Mathematical Society 58, 577–579.
50C Same title, Science 115, 634.
51 Discussion of H.M Trent’s paper, “An alternative formulation of the laws of
mechanics”, Journal of Applied Mechanics 19, 569–570.
52 Discussion of R.A Toupin’s paper, “A variational principle for the mesh-type
analysis of a mechanical system”, Journal of Applied Mechanics 19, 574.
53 Review of W Prager and P.G Hodge’s “Theory of Perfectly Plastic Solids”,
Bulletin of the American Mathematical Society 58, 674–677.
Other publications in 1952: Nos 31A, 57P, 59C1, 59C1T, 59C2
57 Precise theory of the absorption and dispersion of forced plane
infinitesi-mal waves according to the Navier–Stokes equations, Journal of Rational
Mechanics and Analysis 2, 643–742.
57P Preliminary Report: Non-linear absorption and dispersion of plane
ultrasonic waves in pure fluids, Journal of the Washington Academy
of Sciences 42 (1952), 33–36.
58 The physical components of vectors and tensors, Zeitschrift für Angewandte
Mathematik und Mechanik 33, 345–356; 34 (1954), 69–70.
59 Paul Felix Neményi, Journal of the Washington Academy of Sciences 43,
62–63
59C1 Same title, Science (2) 116 (1952), 215–216.
59C1T [inaccurate] Same title, Physikalische Blätter 7 (1952), 325–326 59C2 Same title, Zeitschrift für Angewandte Mathematik und Physik 3
(1952), 400–401
59C3 Same title, Zeitschrift für Angewandte Mathematik und Mechanik 33,
72
Trang 1660 Review of H.M Westergaard’s “Theory of Elasticity and Plasticity”, Bulletin
of the American Mathematical Society 59, 412–413.
61 Review of V.V Novozhilov’s “Foundations of the Nonlinear Theory of
Elas-ticity”, Bulletin of the American Mathematical Society 59, 467–473.
62 Václav Hlavatý, International Mathematical News No 29/30, 2–3.
Other publications in 1953: Nos 43 (corrections and additions), 65A
Flu-lications Scientifiques et Techniques du Ministère de l’Air, Paris
65A The hydraulic pendulum, Indiana Academy of Science Proceedings 63
(1953), 263
66 Editor’s Introduction: Rational fluid mechanics, 1687–1765, pp VII–CXXV
of Leonhardi Euleri Opera Omnia, Series II, Volume 12, Zürich, Füssli.
67 The present status of the controversy regarding the bulk viscosity of fluids,
Proceedings of the Royal Society (London) A 226, 59–65.
68 Mathematics, pp 618–619 of The American Peoples Encyclopedia Yearbook for 1953.
69 Review of J Pérès’ “Mécanique Générale”, Bulletin of the American
Mathe-matical Society 60, 286.
70 Review of E.J McShane, J.L Kelley and F.J Reno’s “Exterior Ballistics”,
Scripta Mathematica 20, 172–174.
71 Review of A Erdélyi, W Magnus, F Oberhettinger, and F Tricomi’s “Higher
Transcendental Functions”, Volumes I and II, American Mathematical Monthly
72L L’ipoelasticità, Conferenze del Seminario di Matematica dell’Università
di Bari No 29, Bologna, Zanichelli, 1957, 16 pp [The text was what mangled by the editor.]
some-72R [corrected] pp 43–92 of Continuum Mechanics III: Foundations of ticity Theory, New York, Gordon & Breach, 1965.
Trang 17Elas-73 The simplest rate theory of pure elasticity, Communications on Pure and
75 Some things you don’t know about mathematics and mechanics, Indiana
Alumni Magazine 17, 2–5 [The title was supplied by the editor; C.T would
not have accepted it, had he been informed.]
76 IU Prof says pupils can’t write, either, Indianapolis Times, June 16 [The title
was supplied by the editor.]
77 I Editor’s Introduction: The first three sections of Euler’s treatise on fluid chanics (1766) II The theory of aerial sound, 1687–1788 III Rational fluid
me-mechanics, 1765–1788, pp VII–CXVII of Leonhardi Euleri Opera Omnia,
Series II, Volume 13, Zürich, Füssli
Other publication in 1955: No 80A
1956
78 (Co-author E IKENBERRY) On the pressures and the flux of energy in a gas
according to Maxwell’s kinetic theory, I, Journal of Rational Mechanics and
Analysis 5, 1–54.
79 On the pressures and the flux of energy in a gas according to Maxwell’s kinetic
theory, II, Journal of Rational Mechanics and Analysis 5, 55–128.
79L1 La crise actuelle dans la théorie cinétique des gaz (1955), Journal de
Mathématiques Pures et Appliquées (9) 37 (1958), 103–118.
79L1T By B.H Aleksanova i N.T Pawenko, Sovremenny
kri-zis v kinetiqesko teorii gazov, Mexanika No 4/62 (1960),
65–75
79L2 Une solution exacte des équations de Maxwell (1955), Journal de
Mathématiques Pures et Appliquées (9) 37 (1958), 119–133.
79L3 Congetture intorno ad un nuovo metodo di approssimazione asintotica
(1961), Rendiconti di Matematica 23 (1964), 185–192.
80 Das ungelöste Hauptproblem der endlichen Elastizitätstheorie, Zeitschrift für
Angewandte Mathematik und Mechanik 36, 97–103.
80A Same title, Physikalische Verhandlungen 68(1955), 129
80T1 By G. Danelidze: Nerexenna glavna zadaqa lineno teorii uprugosti, Mexanika No 1/41 (1957), 67–
ne-74
80T2 By C.T.: The main open problem in the finite theory of elasticity,
pp 102–108 of Continuum Mechanics III: Foundations of Elasticity Theory, New York, Gordon & Breach, 1965.
81 Hypo-elastic shear, Journal of Applied Physics 27, 441–447.
81R Pp 93–100 of Continuum Mechanics III: Foundations of Elasticity Theory, New York, Gordon & Breach, 1965.
Trang 1882 Zur Geschichte des Begriffes “innerer Druck”, Physikalische Blätter 12, 315–
326
83 Experience, theory, and experiment, pp l3–18 of Proceedings of the Sixth Hydraulics Conference, Bulletin 36, State University of Iowa Studies in Engi- neering.
84 Review of “Advances in Applied Mechanics”, Volume 3, Scripta Mathematica
22, 65–68.
84C A comment on scientific writing, Science 120 (1954), 434.
85 Review of R Dugas’ “La Mécanique au XVIIeSiècle”, Isis 47, 449–452.
86 Query No 150 [Bounded magic], Isis 47, 59.
1957
87 (Co-author B BERNSTEIN) The solution of linear differential equations by
quadratures, Journal für die Reine und Angewandte Mathematik 197, 104–
111
88 Sulle basi della termomeccanica, Accademia Nazionale del Lincei, Rendiconti
della Classe di Scienze Fisiche, Matematiche e Naturali (8) 22, 33–38, 158–
166
88T By C.T.: On the foundations of mechanics and energetics, pp 293–305
of Continuum Mechanics II: The Rational Mechanics of Materials, New
York, Gordon & Breach, 1965
89 Eulers Leistungen in der Mechanik, Enseignement Mathématique 3, 251–262.
90 General solution for the stresses in a curved membrane, Proceedings of the
National Academy of Sciences (U.S.A.) 43, 1070–1072.
91 Review of “The Principal Works of Simon Stevin”, Volume 1, edited by
E Crone, E.J Dijksterhuis, R.J Forbes, M.G.J Minnaert, A Pannekoeg,
Phys-ikalische Blätter 13, 578–579.
Other publications in 1957: Nos 72L, 80T1, 95A
1958
92 The new Bernoulli edition, Isis 49, 54–62.
93 Geometric interpretation for the reciprocal deformation tensors, Quarterly of
Applied Mathematics 15, 434–435.
94 Recent advances in rational mechanics, Science 127, 729–739.
94R [corrected] Essay VIII in No 165 below
95 Neuere Anschauungen über die Geschichte der allgemeinen Mechanik,
Zeit-schrift für angewandte Mathematik und Mechanik 38, 148–157.
95A Neuere Anschauungen über die Geschichte der Mechanik, Physikalische
Verhandlungen 83(1957), 50
96 Neuere Entwicklungen in der klassischen statistischen Mechanik und in derkinetischen Gastheorie, ausgearbeitet von D MORGENSTERN, Ergebnisse der
exakten Naturwissenschaften 30, 286–343.
97 (Co-author J.L ERICKSEN) Exact theory of stress and strain in rods and
shells, Archive for Rational Mechanics and Analysis 1 (1957/8), 295–323.
Trang 1997R Pp 307–323 of Continuum Mechanics II: The Rational Mechanics of Materials, New York, Gordon & Breach, 1965.
Other publications in 1958: Nos 79L1, 79L2, 98P, 104P, 107P
98R [corrected and modified] pp 225–236 of Applied Mechanics Surveys,
Washington, Spartan Books, 1966
99 Invariant and complete stress functions for general continua, Archive for
Rational Mechanics and Analysis 4 (1959/60), 1–29.
100 20 Lectures on the Elements of Fluid Mechanics, notes taken by R Wells,
Rheology Section, National Bureau of Standards, June 30–September 11,multiplied typescript, 131 pp
101 Review of H Rouse and S Ince’s “History of Hydraulics”, Isis 50, 69–71.
102 Review of “Rheology, theory and applications”, edited by F Eirich,
Quar-terly of Applied Mathematics 17, 221–222.
103 Query No 158, “Physical Intuition”, Isis 50, 480.
Other publication in 1959: No 110A
1960
104 Intrinsic equations of spatial gas flow, Zeitschrift für Angewandte
Mathe-matik und Mechanik 40, 9–14.
104P Same title, Mathematics Research Center, United States Army, TheUniversity of Wisconsin, Technical Summary Report No 33, July
1958, 13 pp
105 (Co-author R.P KANWAL) Electric current and fluid spin created by the
pas-sage of a magnetosonic wave, Archive for Rational Mechanics and Analysis
107P [Chapter C only] Kinematics of singular surfaces and waves,
Mathe-matics Research Center, United States Army, The University of consin, Technical Summary Report No 43, October 1958, 89 pp
Wis-108 (translation by Mathäi) Zu den Grundlagen der Mechanik und
Thermody-namik, Physikalische Blätter 16, 512–517.
108T [English original] Text of the Chairman’s Introduction to the loquium on the Foundations of Mechanics and Thermodynamics
Trang 20Col-held at the U.S National Bureau of Standards, Washington, October
21–23, 1959, Appendix to No 153, 1966
109 A program toward rediscovering the rational mechanics of the age of reason,
Archive for History of Exact Sciences 1, 3–36.
109TE By C.T.: La scienza del moto dai ‘Principia Mathematica Naturalis
Philosophiae’ di Newton alla ‘Méchanique Analitique’ di Lagrange,
Atti e Memorie della Academia Nazionale di Scienze, Lettere ed
Arti, Modena (6) 2, 3–32.
109R1 [corrected] Essay II in No 165 below
109R2 [of the foregoing] No HS-76 in The Bobbs-Merrill Reprint Series
in History of Science, 1972.
110 Modern theories of materials, Transactions of the Society of Rheology 4, 9–
22
110A Same title, Rheology Bulletin 28, No 3 (1959), p 5.
111 The Rational Mechanics of Elastic or Flexible Bodies, 1638–1788, L Euleri Opera Omnia, Series II, Volume 11, Part 2, Zürich, Füssli, 435 pp.
111A Outline of the history of flexible or elastic bodies to 1788, Journal
of the Acoustical Society of America 32, 1647–1656.
111L1 Origin of the theory of vibrating systems, Res Mechanica 21 (1987),
291–311 [This text was drawn by others from Truesdell’s notes for
a lecture.]
112 [unsigned] Potentials (physics), pp 539–542 of McGraw-Hill Encyclopedia
of Science and Technology, Volume 10.
113 [unsigned] Unified field theories, pp 200–201 of McGraw-Hill Encyclopedia
of Science and Technology, Volume 14.
114 Review of “Die Deutsch–Russische Begegnung und Leonhard Euler”, edited
by E Winter, Isis 51, 115.
115 Review of Leonhard Euler’s “Vollständige Anleitung zur Algebra”, edited by
J.E Hofmann, Isis 51, 434.
116 Query No 161, Approximate theories in early research, Isis 51, 207
[An-swered by B.L.VAN DERWAERDENon pp 567–568.]
Other publication in 1960: No 79L1T
1961
117 Stages in the development of the concept of stress, pp 556–564 of Problems
of Continuum Mechanics [Muskhelisvili Anniversary Volume], Philadelphia,
Society for Industrial and Applied Mathematics
117T tapy razviti ponti napreni, pp 439–447 of lemy mexaniki sploxno sredy, Moscow, Izdatelstvo
118 Exact theory of self-expanding piston rings, Ingenieur-Archiv 30, 77–87.
119 The Principles of Continuum Mechanics, Socony Mobil Oil Company
Col-loquium Lectures in Pure and Applied Science No 5 (February, 1960), (x)+
371+ XVIII pp Reprinted in 1963 and 1965
Trang 21120 General and exact theory of waves in finite elastic strain, Archive for Rational
Mechanics and Analysis 8, 263–296.
120L Second-order theory of wave propagation in isotropic elastic
mate-rials, pp 187–199 of Proceedings of the International Conference
on Second-order Effects, Haifa (1962), 1964.
120R1 [corrected] pp 230–263 of Continuum Mechanics IV: Problems of
Nonlinear Elasticity, New York, Gordon & Breach, 1965.
120R2 Ibid, [not repaginated] Memoir 1 in Wave Propagation in
Dissi-pative Materials, a Reprint of Five Memoirs by B.D COLEMAN,M.E GURTIN, I HERRERA R., and C TRUESDELL, New York,Springer-Verlag, 1965
121 Ergodic theory in classical statistical mechanics, pp 21–56 of Rendiconti della Società Italiana di Fisica, XIV Corso = Ergodic Theory, ed P Caldirola,
New York, Academic Press
122 Review of M Clagett’s “The Science of Mechanics in the Middle Ages”,
1767”, edited by A.P Juškeviˇc, E Winter, and P Hoffmann, Isis 52, 113–114.
125 Review of M Dyck’s “Novalis and Mathematics: A Study of Friedrich vonHardenberg’s Fragments on Mathematics and its Relation to Magic, Music,
Religion, Philosophy, Language and Literature”, Isis 52, 606–607.
1962
126 Mechanical basis of diffusion, Journal of Chemical Physics 37, 2336–2344.
126L Una teoria meccanica della diffusione, pp 161–168 of Celebrazioni Archimedee del Secolo XX (Siracusa, 1961), Volume 3.
127 Reactions of the history of mechanics upon modern research, pp 35–47 of
Proceedings of the Fourth U.S National Congress of Applied Mechanics.
127A Same title, Journal of Applied Mechanics 29, 225.
127R [corrected] Essay VII in No 165, below
127T [of the foregoing] by P Zimmermann: Rückwirkungen der
Ge-schichte der Mechanik auf die moderne Forschung, Humanismus
und Technik 13 (1969), 1–25.
128 Solutio generalis et accurata problematum quamplurimorum de motu
corpo-rum elasticocorpo-rum incomprimibilium in deformationibus valde magnis, Archive
for Rational Mechanics and Analysis 11, 106–113; 12 (1963), 427–428; 28
(1968), 397–398
129 (Co-author R.P KANWAL) Fluid and magnetic distortion carried by
magne-tosonic waves, The Physics of Fluids 5, 368–369.
Trang 22130 Review of “Die Berliner und die Petersburger Akademie im BriefwechselLeonhard Eulers, Teil II, der Briefwechsel L Eulers mit Nartov, Razumovskij,Schumacher, Teplov und der Petersburger Akademie, 1730–1763”, edited
by A.P Juškeviˇc, E Winter, P Hoffmann, and Ju.Ch Kopeleviˇc, Isis 53,
411–413
Other publication in 1962: No 144P1
1963
131 (Co-author R.A TOUPIN) Static grounds for inequalities in finite strain of
elastic materials, Archive for Rational Mechanics and Analysis 12, 1–33; 19
(1965), 407
132 The meaning of Betti’s reciprocal theorem, Journal of Research of the
Na-tional Bureau of Standards 67B, 85–86.
133 Remarks on hypo-elasticity, Journal of Research of the National Bureau of
Standards 67B, 141–143.
134 Review of M Jammer’s “Concepts of Mass in Classical and Modern Physics”,
Isis 54, 290–291.
135 Review of D Morgenstern and I Szabò’s “Vorlesungen über theoretische
Mechanik”, Bulletin of the American Mathematical Society 69, 330–332.
136 Query 170 – Portrait of George Green, Isis 54, 277.
Other publication in 1963: No 128 (corrections)
1964
137 Second-order effects in the mechanics of materials, pp 1–47 of Proceedings
of the International Conference on Second-order Effects, Haifa (1962).
138 The natural time of a visco-elastic fluid: its significance and measurement,
The Physics of Fluids 7, 1134–1142.
139 A theorem on the isotropy groups of a hyperelastic material, Proceedings of
the National Academy of Sciences (U.S.A.) 52, 1081–1083.
140 Whence the law of moment of momentum?, pp 588–612 of Mélanges dre Koyré, Volume 1, Paris, Hermann.
Alexan-140R [corrected] Essay V of No 165, below
140TE By C.T., with a different appendix: “Die Entwicklung des
Drall-satzes”, Zeitschrift für Angewandte Mathematik und Mechanik 44,
149–158
141 The modern spirit in applied mathematics, I.C.S.U Review of World Science
6, 195–205.
142 Fluid mechanics before the Society for Natural Philosophy, Science 143, 382.
143 [Gratiae ob lauream honoris causa ab Academia Polytechnica Mediolanensi
collatam], p 40 of Cerimonie Celebrative del Centenario del Politicnico, 2–4
Aprile 1964, Milano
Other publications in 1964: Nos 79L3, 120L, 144P2
Trang 23144 Rational mechanics of deformation and flow [Bingham Medal Address],
pp 3–30 of Proceedings of the 4th International Congress on Rheology
(1963), Volume 2
144P1 Il punto di vista invariantivo nella meccanica dei corpi continui,
Rendiconti del Seminario Matematico e Fisico di Milano 32 (1962),
91–104
144P2 Die Rationale Mechanik der Kontinua, Zeitschrift für Angewandte
Mathematik und Mechanik 44 (1964), 341–347.
144P2T By A.I Vandiner: Racionalna mexanika sploxno
sredy, Mexanika No 4/92 (1965), 103–111.
144RE [with editorial changes in incorrect English] Buletinul Institutului
Politehnic din Iasi (n.s.) 13 (17) (1967), 415–418; 14 (18) (1968),
131–136
145 (Co-author W NOLL) The Non-Linear Field Theories of Mechanics, Flügge’s Handbuch der Physik, Volume 3, Part 3, Berlin-Heidelberg-New York,
Springer-Verlag, viii+ 602 pp
146 (Co-author B.D COLEMAN) Homogeneous motions of incompressible
ma-terials, Zeitschrift für Angewandte Mathematik und Mechanik 45, 547–551.
147 Fluids of the second grade regarded as fluids of convected elasticity [with anappendix by C.-C WANG], The Physics of Fluids 8, 1936–1938.
148 Twenty prefaces in Continuum Mechanics II: The Rational Mechanics of Materials, New York, Gordon & Breach.
149 Sixteen prefaces in Continuum Mechanics III: Foundations of Elasticity ory, New York, Gordon & Breach.
The-150 Seventeen prefaces in Continuum Mechanics IV: Problems of Non-Linear Elasticity, New York, Gordon & Breach.
151 Preface to Wave Propagation in Dissipative Materials, a Reprint of Five Memoirs by B.D COLEMAN, M.E GURTIN, I HERRERAR., and C TRUES-DELL, New York, Springer-Verlag, 1965
Other publications in 1965: Nos 72R, 73R, 80T2, 81R, 88T, 97R, 120R1, 120R2,
135 (corrections)
1966
152 Instabilities of isotropic perfectly elastic materials in simple shear, pp 139–
142 of Proceedings of the Eleventh International Congress of Applied chanics, Munich (1964).
Me-153 Six Lectures on Modern Natural Philosophy, New York, Springer-Verlag,
(viii)+ 117 pp
153T1 By Magdalena Staszel and Wojciech Zakrewski: Sze´s´c Wykładów
Nowoczesnej Filozofii Przyrody, Warsaw, Panstwowe Wydawnictwo
Naukowe, 1969, 143 pp
Trang 24153TE [first three lectures] by I.T Rabotnova: Glavy iz knigi
Mexanika No 4/122 (1970), 99–136.
153RE [Lecture 5], pp 55–73 of A Taste of Science, ed R.J Tykodi,
West-port, Connecticut, Technomic Publishing Co., 1975
154 The Elements of Continuum Mechanics, New York, Springer-Verlag, [iv]+
279 pp Corrected second printing, 1985
154L1 Foundations of continuum mechanics, pp 35–48 of Delaware
Sem-inar in the Philosophy of Physics (1965), edited by M Bunge, New
York, Springer-Verlag, 1967
154L2 Thermodynamics of deformation, pp 101–112 of Non-Equilibrium
Thermodynamics, Variational Techniques and Stability, Chicago,
University of Chicago Press
154L3 Thermodynamics of deformation, pp 1–12 of Modern
Develop-ments in the Mechanics of Continua, New York, Academic Press.
154L4 The nonlinear field theories in mechanics (1966), pp 19–215 of
Topics in Nonlinear Physics, Berlin-Heidelberg-New York,
Springer-Verlag, 1968
154L5 La thermodynamique de la déformation, pp 207–231 of Canadian
Congress of Applied Mechanics (1967), Proceedings, Volume 3,
1968
154L6 Classical and modern continuum theories, pp 79–92 of Polymers
in the Engineering Curriculum, Proceedings of the Third Buhl ternational Conference on Materials, Pittsburgh, October 28–29,
157 Reactions of late baroque mechanics to success, conjecture, error, and failure
in Newton’s Principia, The Texas Quarterly, Autumn, 238–258.
157R1 [corrected] Essay III in No 165, below
157R2 [of the preceding], pp 2–47 of Mechanics 1970, American
Acad-emy of Mechanics, 1970
157R3 [of No 157R1], pp 192–232 of The Annus Mirabilis of Sir Isaac
Newton, 1666–1966, edited by R Palter, Cambridge, Massachusetts,
M.I.T Press, 1971
157R4 [of No 157R1] No HS77 in The Bobbs-Merrill Reprint Series in
History of Science, 1972.
158 Reply to the paper “Zum Begriff des Elastischen Körpers” by H Ziegler and
D McVean, Zeitschrift für Angewandte Mathematik und Physik 18, 293.
Trang 25159 Review of C.W Kilmister and J.E Reeve’s “Rational Mechanics”, American
Mathematical Monthly 74, 748–749.
160 Review of “Manuscripta Euleriana Archivi Academiae Scientiarum URSS,
Tomus 1, Descriptio Scientifica”, Isis 58, 271–273.
160C Same title, Scripta Mathematica 28 (1968), 210–211.
161 Review of “Manuscripta Euleriana Archivi Academiae Scientiarum URSS,
Tomus 2, Opera Mechanica”, Isis 58, 273–274 = Scripta Mathematica 28
(1968), 211–212
162 Review of I.E Farquhar’s “Ergodic Theory in Statistical Mechanics”,
Quar-terly of Applied Mathematics 24, 386.
Other publications in 1967: Nos 144RE, 154L1, 165P
1968
163 Thermodynamics for beginners, pp 373–387 of Irreversible Aspects of tinuum Mechanics, Proceedings of the IUTAM Symposia Vienna, June 22–28,
Con-1966, Wien/New York, Springer-Verlag
163L1 Termodinamica per principianti, Atti e Memorie della Accademia
Nazionale di Scienze, Lettere ed Arti, Modena (6) 8 (1966), 136–
144
163L2 Termodinamica elementare, Rendiconti del Seminario Matematico
dell’Università e del Politecnico di Torino 27 (1967/68), 19–33.
163T By I.T Rabotnova: Termodinamika dl naqinawix,
Mexanika No 3/121 (1970), 116–128.
164 Sulle basi della termodinamica delle miscele, Accademia Nazionale del cei, Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali (8)
Lin-44, 381–383.
164T By C.T.: On the foundations of the thermodynamics of mixtures,
pp 273–297 of Mechanics 1971, American Academy of Mechanics,
1973
165 Essays in the History of Mechanics, New York, Springer-Verlag, (x)+384 pp
165P [Essay I only] Leonardo da Vinci, The Myths and the Reality, Johns Hopkins Magazine, Spring, 1967, 29–42 [The title was supplied by
the editor without informing C.T., who would not have accepted it.]
165A “Essays in the History of Mechanics”, Archives Internationales
d’Histoire des Sciences 23 (1970), 177–178.
165T By J.C Navascues Howard and E.T Perez-Relaño: Ensayos de toria de la Mecánica, Madrid, Editorial Tecnos, 1975, 343 pp 165TE [Essay VI] by P Zimmermann: Frühe kinetische Gastheorien, Hu-
His-manismus und Technik 14 (1970), 1–29.
See also Nos 94, 109, 127, 140, 157
166 Comment on longitudinal waves, Journal of the Acoustical Society of
Amer-ica 43, 170.
Trang 26167 Parole [di ringraziamento per il V Premio internazionale con medaglia d’oro
“Prof Modesto Panetti”], Atti della Accademia di Scienze di Torino 102,
169T2 By M Fichera Colautti: Termodinamica Razionale, with an
appen-dix, Contributi del Centro Linceo di Scienze Matematiche e cazioni No 20, Roma, Accademia dei Lincei, 1976, 235 pp
Appli-170 A precise upper limit for the correctness of the Navier–Stokes theory with
respect to the kinetic theory, Journal of Statistical Physics 1, 313–318.
170T By E.G Berner: Toqny verhni predel korrektnosti
Mehanika No 4/122 (1970), 137–142.
171 A teaching assistant remembers, Wall Street Journal, January 27, p 14 [The
title was supplied by the editor.]
Other publications in 1969: Nos 127T, 153T1, 157T
1970
172 De pressionibus negativis in sinu et in pariete regionis fluido viscoso moventi
impletae schedula, Annali di Matematica Pura ed Applicata (4) 84, 213–
224
172A Same title, Zentralblatt für Mathematik 207 (1971), 252–253.
173 Review of L Suklje’s “Rheological Aspects of Soil Mechanics”, American
Scientist 58, 210–211.
Other publications in 1970: Nos 153TE, 163T, 165A, 165TE, 170T, 181C
1971
174 Letter to the Editor, The Johns Hopkins Magazine, Spring, 3–4.
175 Review of O Penrose’s “Foundations of Statistical Mechanics”, American
Trang 27178 Leonard Euler, supreme geometer (1707–1783), pp 51–95 of Studies in teenth Century Culture, Volume II, Irrationalism in the Eighteenth Century,
Eigh-Case Western Reserve University Press
179 Review of G.A Tokaty’s “A History and Philosophy of Fluidmechanics”,
Nature 236, 84–85.
180 Review of C Naux’s “Histoire des logarithmes de Neper à Euler, Tome II, La
promotion des logarithmes au rang de valeur analytique”, Isis 63, 443–444.
Other publications in 1972: Nos 109R2 and 157R4
1973
181 Is there a philosophy of science? An essay review of “Induction and Intuition
in Scientific Thought” by Peter Brian Medawar, Centaurus 17, 142–172.
181C Review of Medawar’s “Induction and Intuition in Scientific Thought”,
Die Naturwissenschaften 57 (1970), 314.
182 (Co-author C.-C WANG) Introduction to Rational Elasticity, Leyden,
Wolters–Noordhoff, xii+ 566 pp
183 Introduction à la Mécanique Rationnelle des Milieux Continus [translation
by D Euvrard of an unpublished English text], vii+ 367 pp., Paris, Masson[published as of 1974]
184 Theoria de effectibus mechanicis caloris pridem ab illmoSadi Carnoto verbis
physicis promulgata nunc primum mathematice enucleata, Atti della
Accad-emia di Scienze dell’Istituto di Bologna Classe die Scienze Fisiche (12) 10,
29–41
184T By B Cimbleris, annotated: Carnot finalmente matematizado, Revista
da Escola da Engenharia da Universidade Federal do Minas Gerais
2 (1974), 3–21.
185 The efficiency of a homogeneous heat engine, Journal of Mathematical and
Physical Sciences (Madras) 7 [Milne-Thomson anniversary volume], 349–
371; 9 (1975), 193–194.
185A Sul rendimento delle macchine termiche omogenee, Accademia Nazionale dei Lincei, Rendiconti della Classe die Scienze Fisiche,
Matematiche e Naturali (8) 53, 549–553.
185T By S Benenti: Sul rendimento di una macchina termica omogenea,
Rendiconti del Seminario Matematico dell’ Università e del
Politec-nico di Torino 31 (1971/3), 47–68 (1974).
186 Mathematical Aspects of the Kinetic Theory of Gases, Notas de Matemática
Física, Volume III, Instituto de Matemática, Universidade Federal do Rio deJaneiro, (viii)+ 246 pp
187 The scholar’s workshop and tools, Centaurus 17, 1–10.
188 Review of I Bernard Cohen’s “Introduction to Newton’s Principia”, Physics Today, April, p 59.
189 Review of “Die Werke von Jakob Bernoulli, Band I”, Isis 64, 112–114.
Trang 28190 Review of W Flügge’s “Tensor Analysis and Continuum Mechanics”,
Amer-ican Scientist 61, 100.
191 Review of G.S Gilmor’s “Coulomb and the Evolution of Physics and
Engi-neering in Eighteenth-Century France”, Eighteenth-Century Studies 7
193 (Co-author H MOON) Interpretation of adscititious inequalities through the
effects pure shear stress produces upon an isotropic elastic solid, Archive for
Rational Mechanics and Analysis 55, 1–17.
194 Preface, pp V–VI, The Foundations of Mechanics and Thermodynamics, Selected Papers by W Noll, Berlin-Heidelberg-New York, Springer-Verlag.
195 A simple example of an initial-value problem with more than one solution,
Istituto Lombardo, Accademia di Scienze e Lettere Rendiconti, Classe di
Scienze Matematiche e Naturali (A) 108, 301–304.
Other publications in 1974: Nos 184T and 185T
1975
196 Pervonaqalny kurs racionalno mehaniki sploxnyh sred,
translation by R.V Goldxten and V.M Entov of an unpublishedEnglish text, edited by P.A ilin and A.I Lure, Moscow, Mir,
592 pp
197 (Co-author H MOON) Inequalities sufficient to ensure semi-invertibility of
isotropic functions, Journal of Elasticity 5, 183–189.
197A Same title, Zentralblatt für Mathematik 324 (1976), 513–514.
198 Early kinetic theories of gases, Archive for History of Exact Sciences 15,
1–66
199 Les bases axiomatiques de la thermodynamique, Entropie 11, No 63, 6–11;
No 64, 4–10; No 65, 4–8 [The title is an unauthorized editorial ment for the author’s “Trois conférences sur la structure conceptuelle de lathermodynamique, 1973”.]
replace-200 Review of P Costabel’s “Leibniz and Dynamics”, Historia Mathematica 2,
360–361
201 Review of A.C Eringen and E.S Suhubi’s “Elastodynamics, Volume I,
Finite Motions”, Journal of the Acoustical Society of America 58, 539–540.
Other publications in 1975: Nos 153RE, 185 (corrections), 213A
1976
202 History of classical mechanics, Die Naturwissenschaften 63, 53–62, 119–
130
202T História da Mecânica clássica, Revista Brazileira de Ciências
Mecânicas 4 (1982), No 2, 3–17, and No 3, 3–21.
Trang 29203 The scholar, a species threatened by professions, Critical Inquiry 2, 631–
648
203A Same title, Sociological Abstracts 26 (1978), 807.
203PT By C Wintzer and C.J Scriba: Der Gelehrte: Eine durch die
Profes-sionen bedrohte Spezies, Humanismus und Technik 17 (1973), 113–
127 [An entire page of text is accidentally omitted.]
203R [corrected] Speculations in Science and Technology 3 (1980), 517–
532
204 Improved estimates for the efficiencies of irreversible heat engines, Annali di
Matematica Pura ed Applicata (4) 108, 305–323.
205 Review of “The Mathematical Papers of Isaac Newton, Volume VI”, edited
by D.T Whiteside, American Scientist 64, 230.
206 Questioni vecchie e nuove di termodinamica razionale (Corso Linceo di1973), published as an appendix (pp 209–235) to No 169T2
207 Irreversible heat engines and the second law of thermodynamics, Letters in
Heat and Mass Transfer 3, 267–289.
207L Macchine termiche irreversibili e la seconda legge della
termodinam-ica, pp 297–307 of Problemi attuali di meccanica teorica e cata, Atti del Convegno Internazionale a ricordo di Modesot Panetti,
appli-Torino
208 Review of “L Euleri Opera Omnia Series IVA, Volume 1”, edited by A
Juške-viˇc, V Smirnov, and W Habicht, Eighteenth-Century Studies 9, 627–634 =
[corrected] Archives Internationales d’Histoire des Sciences 27 (1977),
292–296
209 (Co-authors G ASTARITA and G.G SARTI) Insegnamento della namica nella Facoltà di Ingegneria con i metodi della termodinamica razio-
termodi-nale, La Chimica e l’Industria 58, 204–206.
210 Review of K Walters’ “Rheometry”: “Theoretical Rheology”, edited byJ.F Hutton, J.R.A Pearson, and K Walters; R.R Huilgol’s “ContinuumMechanics of Viscoelastic Liquids”; and P Chadwick’s “Continuum Me-
chanics”, American Scientist 64, 705–706.
1977
211 A First Course in Rational Continuum Mechanics, Part I: Fundamental cepts, New York, Academic Press, xxiii+ 280 pp
Con-212 (Co-author R FOSDICK) Universal flows in the simplest theories of fluids,
Annali della Scuola Normale Superiore di Pisa (IV) 2, 323–341.
212R Pp 330–348 of Volume 1 of Raccolta degli Scritti dedicati a Jean Leray, Scuola Normale Superiore, Pisa, 1978.
213 (Co-author S BHARATHA) The Concepts and Logic of Classical dynamics as a Theory of Heat Engines, Rigorously Constructed Upon the Foundation Laid by S Carnot and F Reech, New York, Springer-Verlag,
Thermo-xxii+ 154 pp
Trang 30213A How to understand and teach the logical structure and the history of
classical thermodynamics, pp 577–586 of Volume 2 of Proceedings
of the International Congress of Mathematicians, Vancouver, 1974,
1975
214 Correction of two errors in the kinetic theory of gases which have been used
to cast unfounded doubt upon the principle of material frame-indifference,
Meccanica 11 (1976), 196–199.
215 Review of “Commentationes Mechanicae et Astronomicae, Commentationes
ad Scientiam Navalem Pertinentes, Volumen Prius, Leonhardi Euleri Opera
Omnia Series II, Volumen 20”, edited by W Habicht, Centaurus 21, 76–77.
216 Review of “Lodovico Ferrari e Niccolò Tartaglia, Cartelli di Sfida
Matemat-ica”, edited by A Masotti, Isis 68, 643–644.
1978
217 [Address upon receipt of a Birkhoff Prize, 1978], The Mathematical
Intelli-gencer 1, 99–101, 193.
218 Review of “Die Berliner und die Petersburger Akademie der Wissenschaften
im Briefwechsel Leonhard Eulers, Teil 3, Wissenschaftliche und schaftsorganisatorische Korrespondenzen 1726–1744”, edited by A.P Juške-
Wissen-viˇc, E Winter, P Hoffmann, I.N Klado, and Ju.Ch KopeleWissen-viˇc, Isis 69, 301–
303
219 Some challenges offered to analysis by rational thermomechanics, pp 495–
603 of Contemporary Developments in Continuum Mechanics and Partial Differential Equations (Proceedings of the International Conference on Con- tinuum Mechanics and Partial Differential Equations, Rio de Janeiro, Au-
gust 1977), edited by G.M de LaPenha and L.A Medeiros, Amsterdam,North-Holland
1979
220 Absolute temperatures as a consequence of Carnot’s General Axiom, Archive
for History of Exact Sciences 20, 357–380.
221 Schizzo concettuale della termodinamica per gli studiosi di meccanica,
Bol-lettino della Unione Matematica Italiana (5) 16-A, 1–20.
222 Essay review of I Szabò’s “Die Geschichte der Mechanischen Prinzipien”,
Centaurus 23, 163–175.
223 [translation of an unpublished English text] Meccanica e Termomeccanicarazionale (1974), pp 33–52 of Volume IV of Enciclopedia del Secolo XX,Rome
1980
224 (Co-author R.G MUNCASTER) Fundamentals of Maxwell’s Kinetic Theory
of a Simple Monatomic Gas, Treated as a Branch of Rational Mechanics,
New York, Academic Press, xxvii+ 593 pp
225 The Tragicomical History of Thermodynamics, 1822–1854, New York,
Springer-Verlag, XII+ 372 pp
Trang 31225P The Tragicomedy of Classical Thermodynamics (1971),
Interna-tional Centre for Mechanical Sciences, Udine, Courses and tures, No 70, Wien and New York, Springer-Verlag, 41 pp., 1973.[Publication in this form was not authorized by C.T and wascontrary to his wishes.]
Lec-225RE The disastrous effects of experiment upon the early development
of thermodynamics, pp 415-423 of Scientific Philosophy Today Essays in Honor of Mario Bunge, Dordrecht, Reidel, 1981.
226 Sketch for a history of constitutive relations, pp 1–27 of Proceedings of the 8th International Congress on Rheology, Volume 1.
227A The nature and function of constitutive relations, pp 9-41 through 9-44 of
Volume 2 EPRI Workshop Proceedings: Basic Two-Phase Flow Modelling
in Reactor Safety and Performance, Electric Power Research Institute, Palo
Alto, March
228 (Co-author J.F BELL) §§3–6 of Physics of Music, pp 666, 667 of Grove’s Dictionary of Music and Musicians, Volume 14 [Editorial revisions intro-
duced a good many errors.]
229 Biographies [mangled by the editor and hence all but one unsigned] of
D Bernoulli, Chladni, Euler (co-author J.F Bell), Helmholtz, Hooke, grange, Lambert, and Sauveur, p 628 of Volume 2, pp 289, 290 of Vol-ume 4, p 292 of Volume 6, pp 465, 466 and 686 of Volume 8, p 361 and
La-397 of Volume 10, p 524 of Volume 16 of Grove’s Dictionary of Music and Musicians.
230 Rapport sur le pli cachété No 126, paquet présenté à l’Académie des ences dans le séance du 1er Octobre 1827, par M Cauchy, et contenant
Sci-le Mémoire “Sur l’équilibre et Sci-le mouvement intérieur d’un corps, solideconsidéré comme un système de molécules distinctes les unes des autres”,
Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences
(Paris) 291 (Vie Académique), 33–46
230A “Cauchy’s first attempt at molecular theory of elasticity”,
Bollet-tino di Storia delle Scienze Matematiche 1 (1981), 135–143.
231 Proof that my work estimate implies the Clausius–Planck inequality, cademia Nazionale dei Lincei, Rendiconti della Classe di Scienze Fisiche,
Ac-Matematiche e Naturali (8) 68, 191–199.
Other publication in 1980: No 203R
1981
232 [Paroles de reconnaissance] Comptes Rendus Hebdomadaires des Séances
de l’Académie des Sciences (Paris) 292 (Vie Académique), 45.
233 The role of mathematics in science as exemplified by the work of the
Bernoullis and Euler, Verhandlungen der Naturforschenden Gesellschaft
in Basel 91, 5–22.
Trang 32234 [Translation of an unpublished text in English] Il calcolatore: rovina della
scienza e minaccia per il genere umano, pp 37–65 of La nuova ragione, Scienza e cultura nella società contemporanea, Bologna, Scientia/Il mulino.
234R Notiziario della Unione Matematica Italiana 11 (1984), 52–80.
Other publication in 1981: No 230A
236T Il nostro debito verso la tradizione francese: le “catastrofi” e l’attuale
ricerca di struttura, ibid 79–87 [This translation is faulty at some
essential points.]
227 Perpetual motion consistent with classical thermodynamics, Atti della
Ac-cademia di Scienze di Torino 114 (1980), 433–436.
228 Fundamental mechanics in the Madrid Codices, pp 309–324 of Leonardo e l’Età della Ragione, Milano, Scientia.
238T [gravely defective] I primi principi di meccanica nei codici di Madrid,
240 The influence of elasticity on analysis: The classic heritage, Bulletin of the
American Mathematical Society (2) 9, 293–310.
1984
241 Preface to the reissue of Handbuch der Physik, Volume VIa, pp V–VIII of
each of the four parts
242 Correction of some errors published in this journal, Journal of Non-Newtonian
Fluid Mechanics 15, 249–251.
243 An Idiot’s Fugitive Essays on Science: Methods, Criticism, Training, cumstances, New York, Springer-Verlag, XVII+ 645 pp Second printing,revised and augmented, 1987, xvii+ 661 pp
Cir-243C Essay 33d with most of the quotations from Gulliver’s Travels ted, pages vii–xxxix of L Euler, Elements of Algebra, New York,
omit-Springer, 1984
244 Rational Thermodynamics, A Course of Lectures on Selected Topics, with an
appendix by C.-C Wang, second edition, corrected and enlarged, to which
Trang 33are adjoined appendices by R.M Bowen, G Capriz, P.J Chen, B.D man, C.M Dafermos, W.A Day, J.L Ericksen, M Feinberg, M.E Gurtin,
Cole-R Lavine, I.-S Liu, I Müller, J.W Nunziato, S.L Passman, M Pitteri,
P Podio-Guidugli, D.R Owen, P.A.C Raats, M Šilhavý, C Truesdell,E.K Walsh, and W.O Williams, New York, Springer-Verlag, xvii+578 pp.244LA [of Appendix 1A] Classical Thermodynamics is a Mathematical
Science, pp 40–53 of Proceedings of the International Conference
on Nonlinear Mechanics, Shanghai, October 28–31, 1985, Beijing,
Science Press, 1985
245 A puzzle divided: English and Continental chairs following a unique design
of the early eighteenth century, Furniture History (John Hayward Memorial)
20, 56–60 and plates 76–80.
Other publications in 1985: Nos 154R, 244LA
1986
246 A third line of argument in thermodynamics, pp 79–83 of New Perspectives
in Thermodynamics (workshop at the Institute for Mathematics and its
Appli-cations, University of Minnesota, June, 1983), New York, Springer-Verlag
247 What did Gibbs and Carathéodory leave us about thermodynamics?, pp 101–
124 of New Perspectives in Thermodynamics (workshop at the Institute for
Mathematics and its Applications, University of Minnesota, June, 1983),New York, Springer-Verlag
248 Classical thermodynamics cleansed and cured, pp 265–291 of Meeting on Finite Thermoelasticity, Contributi del centro Linceo interdisciplinare di
Scienze Matematiche e loro applicazioni No 76, Roma, Accademia nale dei Lincei Corrected reprint circulated in 1988
Nazio-249 Preface, p V of The Breadth and Depth of Continuum Mechanics, A tion of Papers Dedicated to J.L Ericksen on His Sixtieth Birthday, edited by
Collec-C.M Dafermos, D.D Joseph, and F.M Leslie, Berlin, Springer-Verlag
1987
250 Great Scientists of Old as Heretics in “The Scientific Method”,
Charlottes-ville, University of Virginia Press, 96 pp
251 Preface, pp V–VI of Analysis and Thermodynamics, A Collection of Papers Dedicated to W Noll on His Sixtieth Birthday, edited by B.D Coleman,
M Feinberg, and J Serrin, Berlin, Springer-Verlag
Other publications in 1987: Nos 111L1, 254A
1988
252 Editorial, Archive for Rational Mechanics and Analysis 100 (1987/8), IX–
XXII
253 On the vorticity numbers of monotonous motions, Archive for Rational
Me-chanics and Analysis 104, 105–109.
Trang 34254 Review of U Bottazzini’s “The Higher Calculus: A History of Real and
Complex Analysis from Euler to Weierstrass”, Archives Internationales
d’Histoire des Sciences 38, 125–137.
254A Same title, Bulletin of the American Mathematical Society (2) 17,
256 [Comment on the article by Charles J Sykes on The Johns Hopkins
Univer-sity, September 6], Wall Street Journal, September 19.
257 Newton’s influence on the mechanics of the eighteenth century
257T (By K Hutter) Newtons Einfluß auf die Mechanik des 18
Jahrhun-derts, pp 47–73 of Die Anfänger der Mechanik: Newtons Principia gedeutet aus ihrer Zeit und ihrer Wirkung auf die Physik, edited by
K Hutter, Berlin, Springer-Verlag
258 Maria Gaetana Agnesi, Archive for History of Exact Sciences 40, 113–142;
corrections and additions, 43 (1992), 385–386.
1991
259 Foreword, pp vii–x of Edoardo Benvenuto, An Introduction to the History of Structural Mechanics, New York, Springer-Verlag (2 Volumes).
260 Letter to the Editor, Isis 82, 90.
261 A First Course in Rational Continuum Mechanics, Volume 1, Second
Edi-tion, corrected, revised, and augmented, Academic Press, xviii+ 391 pp
1992
262 Jacopo Riccati, un grande “Savant” del ’700: Vita, Studi, Carattere, pp 1–25
of J Riccati e la Cultura della Marca nel Settecento Europeo (Atti del vegno Internazionale di Studio, Castelfranco Veneto, 5–6 Aprile 1990), edited
Con-by Gregorio Piaia and Maria Laura Soppelsa, Leo S Olschki, Firenze
263 Cauchy and the modern mechanics of continua (1989), Revue d’Histoire des
Sciences 45, 5–24.
264 Sophie Germain: Fame earned by stubborn error, Bolletino di Storia delle
Scienze Matematiche 11, 3–24.
265 Functionals in the modern mechanics of continua, Convegno Internazionale
in Memoria di Vito Volterra (1990), Atti del Convegni Lincei 92, 225–242.
266 (Co-author W NOLL) The Non-Linear Field Theories of Mechanics, Second
Edition, Berlin-Heidelberg-New York, Springer-Verlag, X+ 591 pp
266T (By Chen Zhaoxun) Fei xian xing chang zhi li xue li lun, National
Intitute for Compilation and Translation, Taipei, I+III+VI+ 742 pp.,2001
Trang 35267 Mechanics, especially elasticity, in the correspondence of Jacob Bernoulli
with Leibniz, pp 13–26 of Der Briefwechsel von Jacob Bernoulli, edited
by A Weil, in Die gesammelten Werke der Mathematiker und Physiker der Familie Bernoulli, Basel, Birkhäuser.
1994
268 A modern exposition of classical thermodynamics, in: La Termodinamica e
la Termocinetica nelle Scuole di Ingegneria, a ricordo del Prof Cesare gone (Atti della giornata di studio tenutasi presso il Politecnico di Torino il
Code-15 ottobre 1992), Atti della Accademia delle Scienze di Torino, Classe di
Scienze Matematiche, Fisiche e Naturali 128, suppl 2, 71–94.
1995
269 A che serve la storia delle scienze matematiche?, pp 45–52 of Honoris Causa, Lezioni Dottorali di Insigniti di Laurea ad Honorem in Occasione del
VI Centenario dell’Ateneo, Anno Accademico 1991/92, Ferrara, Università
degli Studi di Ferrara
1996
270 Jean-Baptiste-Marie Charles Meusnier de la Place (1754–1793): An
histori-cal note, Meccanica 31, 607–610.
271 The thirty-fifth anniversary of this Archive, by the Editor, Archive for History
of Exact Sciences 50, 1–4.
2000
272 (Co-author K.R RAJAGOPAL) An Introduction to the Mechanics of Fluids,
xiii+ 277 pp., Birkhäuser, Boston
2001Other publication in 2001: No 266T
2004
273 (Co-author W Noll) The Non-Linear Field Theories of Mechanics, Third
Edition, edited by S.S Antman, Berlin-Heidelberg-New York, Verlag, XXIX+ 602 pp
Trang 36Springer-Clifford Ambrose Truesdell III
I Serials, as Founder or Co-founder
(Co-founder and co-editor T.Y Thomas, later co-editor V Hlavatý) Journal of Rational Mechanis and Analysis, Indiana University, 5 volumes, 1952–1956 Archive for Rational Mechanics and Analysis, Berlin, Springer-Verlag, 1957–
1989 (co-editor J Serrin, 1967–1985)
Archive for History of Exact Sciences, Berlin, Springer-Verlag, 1960–1990 Springer Tracts in Natural Philosophy, New York, Springer-Verlag, 1963–
1966; co-editor, 1967–1978; editor, 1979–2000
II Other Serials
Editor, Reihe für Mechanik, Ergebnisse der Angewandten Mathematik, Berlin,
Springer, 1957–1962, 3 volumes in all
Member of the Editorial Committee, Rendiconti del Circolo Matematico di Palermo, 1971–2000.
Member of the International Editorial Committee, Meccanica, 1974–1994 Member of the International Editorial Committee, Annali della Scuola Nor- male Superiore di Pisa, 1974–1999.
Member of the International Editorial Board, Il Nuovo Cimento B, 1979–1987 Member of the Editorial Council, Bollettino di Storia delle Scienze Matema- tiche, Unione Matematica Italiana, 1979–2000.
Member of the Editorial Board, Speculations in Science and Technology, 1980–
1987
Member of the Editorial Board, Ganita-Bhãrati, 1981–1993.
Member of the Editorial Board, Stability and Applied Analysis of Continuous Media, 1991–1993.
xli
Trang 37CLIFFORD AMBROSE TRUESDELL III
(b February 18, 1919; d January 14, 2000)
Clifford Ambrose Truesdell III died on January 14, 2000 This man of mathematics,science and natural philosophy focused his strong sense of history and his talentsand taste for identifying major advances in rational mechanics to establish a re-naissance in mechanics and materials research that has prospered since the middle
of the 20th century He contributed substance and spirit to the areas of continuummechanics, thermodynamics and kinetic theory, challenged the establishment andits dogmatic thinking, and engaged the community of young researchers with a newand fundamental direction of inquiry which concentrated on foundations, structureand logical implication His letters, his books, his essays, his university courses, his
co-founding of the Journal for Rational Mechanics and Analysis, his founding of the Archive for Rational Mechanics and Analysis, the Archive for History of Exact Sciences, Springer Tracts in Natural Philosophy, the Society for Natural Philoso-
phy and his support of the research of other scientists were exceptional His jointencyclopedic articles, The Classical Field Theories in 1960 and The Non-LinearField Theories of Mechanics in 1965, were masterful, erudite, comprehensive, andpioneering works of lasting value
Clifford Truesdell was a scholar of immense creativity, a linguist, a connoisseur
of the arts and a historian unfettered by fashion Throughout his life, he taught
us to preserve scholarship, to question foundations and to follow a path of reasonwith principle, purpose and passion His actions constantly provided a stimulus,
an environment and a framework for scientific discovery He made a profoundcontribution to our science
ROGERFOSDICK
University of Minnesota
Minneapolis
xliii
Trang 39BERNARD D COLEMAN
Department of Mechanics and Materials Science, Rutgers University, 98 Brett Road, Piscataway,
NJ 08854-8058, U.S.A.
Received 10 February 2003; in revised form 2 March 2003
Below is a shortened version of the text of a talk given at the Meeting in memory
of Clifford Truesdell held in Pisa in November of 2000 and at the Symposium on Recent Advances and New Directions in Mechanics, Continuum Thermodynamics, and Kinetic Theory held in Blacksburg in June of 2002 Appended to that text is
the Curriculum Vita of Professor Truesdell as he kept it up-to-date until October
1993, at which time, with his approval, I had it transcribed into its present format
Clifford Truesdell and Thermodynamics
I consider myself to have been among the most fortunate of men: I have had ateacher and friend, indeed, more than a friend, in effect, an elder brother, who wasthe leading scholar in my science and who gave me encouragement, sound advice,and every type of help that I might need, even when I did not know that I needed
it Most important of all, he taught me that careful scholarship and the persistentsearch for insight and understanding are far more important than facile skill in theuse of contemporary techniques for the solution of currently popular problems.Clifford Ambrose Truesdell III was born in Los Angeles, February 18, 1919 Inhis 23rd and 24th years he received, from the California Institute of Technology,the B.S Degree in Mathematics, the B.S Degree in Physics, and the M.S Degree
in Mathematics, and, in addition, from Brown University, a Certificate in ics In his 25th year he received, from Princeton University, the Ph.D Degree inMathematics
Mechan-In the course of his career he received numerous awards and prizes, amongwhich are: the Euler medal of the USSR Academy of Sciences, which was receivedtwice, in 1958 and 1983, the Bingham Medal of the Society of Rheology, thePanetti Prize and Gold Medal of the Accademia di Scienze di Torino, the BirkhoffPrize of the American Mathematical Society and the Society for Industrial andApplied Mathematics, and the Ordine del Cherubino of the Università di Pisa Hereceived honorary doctorates from five universities and was awarded membership
in twelve international academies of science; among them is the illustrious ItalianAccademia Nazionale dei Lincei
1
C.-S Man and R.L Fosdick (eds.), The Rational Spirit in Modern Continuum Mechanics, 1–13.
© 2004 Kluwer Academic Publishers Printed in the Netherlands.
Trang 40Although I was an undergraduate student at Indiana University from February
1948 to June 1951, and hence my stay in Bloomington Indiana did overlap, albeitpartially, that of Clifford and Charlotte Truesdell, we first met years later, in theSpring of 1958, at a scientific meeting in Lancaster Pennsylvania on the subject
of rheology The meeting was followed by an exchange of letters about namics, which was in turn followed by a one-week visit with Clifford and CharlotteTruesdell at their house in Bloomington in the winter of 1958 and not long afterthat by his two week visit to the Mellon Institute If you bear with me, I shouldlike to tell you about events of that period from the point of view of one whosesubsequent view of science, the arts, and life itself were completely changed by hisinteraction with Clifford Truesdell
thermody-In the summer of 1957 I left a position in the chemical industry to become aSenior Fellow of the Mellon Institute in Pittsburgh, and soon after my arrival Istarted to attend courses given by Walter Noll on continuum mechanics and relatedbranches of mathematics Before the academic year was over, we both went tothe rheology meeting in Lancaster The list of speakers for that meeting includedClifford Truesdell, Walter Noll, Jerry Ericksen, and Ronald Rivlin At a luncheonthat was held there, Walter Noll and I were sitting at a table with several personsother than those just mentioned, and I expressed the view that although we were alltold in school that thermodynamics is a closed subject whose general principles areknown and pertain to only equilibrium states or to processes that stay so close toequilibrium that all departures from equilibrium are governed by linear constitutiverelations, I could not believe that such is the case, and I felt that our knowledge ofwhat the science of thermodynamics could be was in some way analogous to whatthe cultivators of mechanics knew about their subject at the time of the publication
of Newton’s Principia and the early work of the Basel School All within hearing,with the exception of Walter Noll, agreed with each other that I was wrong Walteragreed with me and suggested that I read certain papers of Clifford Truesdell andthat we talk more when we were back in Pittsburgh
We did talk more, much more, and I, with my eyes open wide with excitement,read whatever I could of Clifford Truesdell’s writings on thermodynamics
There were papers that carried forward Maxwell’s idea that a properly lated theory of diffusion of mass in fluid mixtures should account, as Fick’s Lawdoes not, for balance of linear and angular momentum
formu-There were passages decrying the vagueness that rendered nearly empty, at leastfor mathematicians, the text-book versions of the Second Law of Thermodynamics.Among these was a footnote to a discussion of classical thermodynamics in his
paper, The Mechanical Foundations of Elasticity and Fluid Dynamics, published
in 1952 in Volume 1 of the Journal for Rational Mechanics and Analysis The note urges the rational student “to cleave the stinging fog of pseudo-philosophicalmysticism” hiding the mathematics behind a certain formulation of the SecondLaw It was clear that he saw that thermodynamics, far from being a closed subject,was in a terrible state