stress waves in non elastic solids

... Mindlin R.D Waves and vibrations in isotropic, elastic plates In Structural Mechanics (Editors J.N Goodier and N Hoff) (1960) 199 – 232 Mindlin R.D and McNiven H.D Axially symmetric waves in ... Strain solitary waves in an elastic rod embedded in another elastic external medium with sliding, Phys.Rev Ser E, 58 (1998) 3854 – 3864 Russell Scott J Report on waves, In: Fourteenth meeting ... generated in an anisotropic quartz plate by metallic in interdigital transducers, Appl Phys Lett, 55 (1989) 103 – 114 Pochhammer L Uber die Fortpflanzungsgeschwindigkeiten kleiner Schwingungen in einem

Ngày tải lên: 19/06/2014, 12:20

... be true of waves from a point source located in a medium of infinite extent. Cylindrical spreading loss indicates that, once an interface wave is excited, it is likely Interface Waves 165 ... and direct waves. In the right panel the raw data have been low pass filtered, which brings out the interface waves. In this case the interface waves appear in the 1.0 - 2.5 s time interval ... of interface waves are discussed. The techniques for using interface waves to estimate the seabed geoacoustic parameters are introduced and discussed including signal processing for extracting

Ngày tải lên: 19/06/2014, 12:20

... various kinds of non-elastic scattering in medium, e.g., the Raman scattering, the Brillouin scattering, the Bragg scattering etc In the case of Raman scattering the oscillatory quanta corresponding ... Trang 12vibrating molecules The standing waves are induced in each globule of the crystal The pulsating modes arising in the PNC globules are related to the movements, resulting in the change ... vibrating molecules Accordingly, the non-elastic scattering of light caused by the excitations of radial vibrations of the globules was termed as Globular Scattering (GS) of light At low intensities

Ngày tải lên: 19/06/2014, 12:20

... spatial and time increments, where three lines of Er for the second-order FD method (line —), the fourth-order LWC (line - - - -), and the RK (line -) are shown in a semi-log scale In these figures, ... cases are listed in Table 1 From these error curves and Table 1 ( x       ), we find that E y z h r increases corresponding to the increase in the time and/or spatial increments for all ... discretization schemes hinges on their ability to minimize this effect In this section, following the analysis methods presented in Vichnevetsky (1979), Dablain (1986), and Yang et al (2006), we investigate

Ngày tải lên: 19/06/2014, 12:20

... previously described in (Stoican et al., 2008) where preliminary investigationsregarding the effect of the acoustic waves on the properties of the microparticles stored in alinear electrodynamic ... quantum computing, the researchhas been directed mainly to the ion trapping Wolfgang Paul, who is credited with theinvention of the quadrupole ion trap, shared the Nobel Prize in Physics in 1989 for ... electrodes surface implying the supplementary restrictions in itsinitial position and velocity One could say that, within the stability domains, a potential Trang 7barrier arises preventing the stored

Ngày tải lên: 19/06/2014, 12:20

... positions in a bubbly soft medium are random in non-localized states. Correspondingly, the curves 1 (thin solid line) and 2 (thin dashed line) in Fig. 3.2 shows that the non-localized waves remain ... predominantly coherent. Contrarily, within the localization region almost all the waves are trapped inside a spatial domain and the fluctuation of wave field at a spatial point fails in interacting ... finite According to the stress-strain relationship and 277 Acoustic Waves in Bubbly Soft Media neglecting the contribution of the gas inside the bubbles, the stress tensor may... obtained from

Ngày tải lên: 19/06/2014, 12:20

... research of point-source scattering initiated in (1), dealing with analytical investigations of the scattering problem by a circular disc The main results for point-source scattering bysimple ... werestudied in (8) For other implementations of near-field inverse problems see (9), and p 133 of(10); also we point out the point-source inverse scattering methods analyzed in (11) In all the above investigations ... medium(corresponding to an interior point-source) is utilized as kernel of efficient integral equationformulations, where the integration domain is usually the support of an inhomogeneityexisting inside

Ngày tải lên: 19/06/2014, 12:20

... Rayleigh waves, Wave speed, Surface waves, Orthotropy. 1 Introduction Recently, there has been considerable interest in obtaining explicit formulas for the Rayleigh wave speed in an elastic half-space ... planes coinciding with the Cartesian coordinate planes the stress-strain relation may be written in the standard compact form σ i =c ij e j , i, j ∈{1, , 6}, where σ i , e i are the stress and ... rearranging, we obtain the cubic equation for x. PROPOSITION 1 In the interval (0, σ∗), where σ∗=min{1, σ δ}, equation (14) has a Trang 4Proof According to Chadwick [10], in the interval (0, ˆσ ),

Ngày tải lên: 16/12/2017, 14:36

... doi:10.1029/2010JA015671, 2010 Kabin, K., Rankin, R., Mann, I R., Degeling, A W., and Marchand, R.: Polarization properties of standing shear Alfv´en waves in non-axisymmetric background magnetic ... scattering rates at lower αeqcompared to the results for a dipole field (b = ∞), depending on the changes in the resonant wave frequen-cies and the latitudinal extent of resonant interaction In Trang ... Electrons dif-fuse into the loss cone, and thus precipitate into the upper at-mosphere due to resonant interactions with the plasma waves in the magnetosphere (e.g., Lyons et al., 1972; Inan et al.,

Ngày tải lên: 02/11/2022, 09:22

... surface acoustic waves in monoclinic elastic crystals J Acoust Soc Am., 109, 1398–1402 Destrade, M (2007) Interface waves in prestressed incompressible solids Waves in Nonlinear Pre-Stressed Materials ... incompressible nonlinearly elastic solids Int J Nonlinear Mech., 40, 213–227 Merodio, J & Ogden R W (2005b) Tensile instabilities and ellipticity in fiber-reinforced compressible nonlinearly elastic solids ... internal constraint Int J Eng Sci., 48, 275–289 Vinh, P C & Giang, P T H (2012) Uniqueness of Stoneley waves in pre-stressed incompressible elastic media Int J Nonlinear Mech., 47, 128–134 Vinh,

Ngày tải lên: 16/12/2017, 07:04

... in[8], and orthotropic in[11] Following Biot’s approach, Dey and Mahto[12]investigated the influence of gravity on the propagation of the Rayleigh wave in an isotropic elastic medium, taking into ... not taken in the present paper 6 Conclusions In this paper the propagation of Rayleigh waves in homogeneous orthotropic elastic media under the influence of gravity and initial stress is investigated ... 1Explicit secular equations of Rayleigh waves in elastic media underthe influence of gravity and initial stress Pham Chi Vinh Faculty of Mathematics, Mechanics and Informatics, Hanoi University of Science,

Ngày tải lên: 12/12/2017, 08:17

... equations of Stoneley waves in a non-homogeneousorthotropic elastic medium under the influence of gravity Pham Chi Vinha,*, Géza Serianib a Faculty of Mathematics, Mechanics and Informatics, Hanoi ... Stoneley waves Stoneley wave velocity Orthotropic Secular equation Non-homogeneous Gravity a b s t r a c t The problem of Stoneley waves in a non-homogeneous orthotropic elastic medium under the influence ... Stoneley waves and Rayleigh waves in a non-homogeneous orthotropic elastic medium under the influence of gravity, Appl Math Comput 135 (2003) 187–200], who derived the secular equation of the wave in

Ngày tải lên: 16/12/2017, 02:24

... (1995) On interfacial waves in pre-stressed layered incompressible elastic solids Proc R Soc Lond A 450:319–341 18 Sotiropoulos DA (2000) Guided elastic waves in a pre-stressed compressible interlayer ... 49:681–689 11 Vinh PC, Linh NTK (2012) An approximate secular equa-tion of generalized Rayleigh waves in pre-stressed com-pressible elastic solids Int J Non-Linear Mech 50:91–96 12 Vinh PC, Anh ... surface acoustic waves in an infinite elastic plate with a thin metal layer Ultrasonics 44:e941–e945 9 Steigmann DJ, Ogden RW (2007) Surface waves supported by thin-film/substrate interactions IMA

Ngày tải lên: 11/12/2017, 23:22

... Rayleigh waves in in-compressible orthotropic elastic solids J Acoust Soc Am 115:530–533 24 Vinh PC (2010) On formulas for the velocity of Rayleigh waves in prestrained incompressible elastic solids ... waves in magnetoelastic initially stressed con-ducting medium with the gravity field Bull Calcutta Math Soc 86:243–248 16 Abd-Alla AM, Ahmed SM (1996) Rayleigh waves in an orthotropic thermoelastic ... 1 and ε tanh δ > 1 Since φ2(x)is con-tinuous and strictly increasingly monotonous in the in-terval (0, 1), (⊂ (0, ε tanh δ)), Eq (19) has a unique real root in the interval (0, 1) if φ2( 0)

Ngày tải lên: 15/12/2017, 23:56

... therefore the main purpose of the investigations of Rayleigh waves propagating in half-spaces covered with a thin layer Taking 174 P C Vinh, N T K Linh, V T N Anh the assumption of thin layer, explicit ... solids, Int J Non-Linear Mech., 50, 91–96, 2013 15 P.C Vinh, V.T.N Anh, Rayleigh waves in an orthotropic elastic half-space coated by a thin orthotropic elastic layer with smooth contact, Int J ... generalization of Love waves and Stoneley waves, Math Mech Solids, 14, 52–71, 2009 13 P.C Vinh, N.T.K Linh, An approximate secular equation of Rayleigh waves propagating in an orthotropic elastic half-space

Ngày tải lên: 16/12/2017, 01:11

... method for assessingmaterial properties and weaknesses in many engineering structures In the absence ofinitial stress (residual stress or pre-stress) the classical theory of linear elasticity has ... the initial stress is assumed to be different in the layerand half-space In the presence of the initial stress (in the reference configuration) thestrain-energy function depends on the initial stress ... or initial stress situations on their own Keywords: nonlinear elasticity, initial stress, surface waves, secular equation 1 Introduction Guided wave propagation provides an important non-destructive

Ngày tải lên: 16/12/2017, 03:35

... computation of the stress intensity factors integrated into the method are briefly introduced in Section In Section 4, two numerical examples involving single and mixed-mode cracks are investigated ... domain (5) Define the initial crack information as a line by specifying the starting and ending points as their crack-tip nodes (6) Loop over the number of incremental steps a Vector level set initialization ... structures in engineering applications 11  Nevertheless, some other interesting issues including the convergence, error estimation, adaptivity, etc pertaining to the method should be studied in our

Ngày tải lên: 16/12/2017, 17:20

... Chapter 10 Acoustic Waves in Bubbly Soft Media 257 Bin Liang, Ying Yuan, Xin-ye Zou and Jian-chun Cheng Chapter 11 Inverse Scattering in the Low-Frequency Region by Using Acoustic Point Sources 293 ... viewpoints. Shear waves (S-wave) are essential in the field of seafloor geotechnical applications as they propagate in solids. More specifically interface waves and the use of the interface waves ... 2011 Printed in Croatia A free online edition of this book is available at www.intechopen.com Additional hard copies can be obtained from orders@intechweb.org Waves in Fluids and Solids, ...

Ngày tải lên: 19/06/2014, 12:20

... (Stovas&Ursin, 2007). Acoustic Waves in Layered Media - From Theory to Seismic Applications 25  1 2 2 2 2 2 Im cos sin sin sin sin cos Im sin Im 1 1sin 1 sin sin sin sin cos Im sin sin 1 i D i D ... intermediate root defines the critical point 2 C on the lower branch of the curve (123). The minimum point 1 A (dividing the triplication domain 1 and 2) is also Waves in Fluids and Solids 30 0 ...   2 2 12 12 1 2 12 2 2 2 2 12 12 1 2 12 2 2 2 2 21 Re cos sin sin cos cos sin sin 11 21 Im sin cos sin sin cos cos sin 11 2sin 1 rr a rr rr a rr r b r            ...

Ngày tải lên: 19/06/2014, 12:20

... SH waves in a single-layered (infinite) plate with different types of boundary conditions by considering a two-layered plate and taking limits in material properties of one of the contacting ... (iv), and thus, resemble the solitons. But, in contrast to the genuine solitons in hydrodynamics or their nonlinear analogues propagating in elastic solids; see, Eckl et al. (2004), Kawahara (1972), ... monoclinic symmetry of the elasticity tensor, meaning that the elasticity tensor contains 13 independent decomposable components. At violating conditions (A) or (B), the amplitudes of partial waves...

Ngày tải lên: 19/06/2014, 12:20