stress waves in elastic solids

... 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

... computation of the stress intensity factors integrated into the method are briefly introduced in Section 3 In Section 4, two numerical examples involving single and mixed-mode cracks are investigated ... modeling in elastic solids by the extended meshfreeGalerkin radial point interpolation method Nha Thanh Nguyena, Tinh Quoc Buib,n,1, Chuanzeng Zhangb, Thien Tich Truonga a Department of Engineering ... 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

Ngày tải lên: 16/12/2017, 17:20

... non-principal Rayleigh waves in incompressible, transversely isotropic, pre-stressed elastic half-spaces is obtained in Section 3.2 The results are illustrated in respect of the so-called reinforcing ... hyperelastic material model at hand are given Similarly, the corresponding equations for infinitesimal waves super-imposed on a finite deformation consisting of a pure homogeneous strain are outlined ... 14doi:10.1093/imamat/hxu023 Non-principal Rayleigh waves in deformed transversely isotropic incompressible non-linearly elastic solids Pham Chi Vinh∗ Faculty of Mathematics, Mechanics and Informatics, Hanoi

Ngày tải lên: 16/12/2017, 07:04

... 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

... In particular, the late-arriving coda waves inthe lunar seismograms bear a striking resemblance to the multiple scattering of elastic waves in the dry granular packing Some features of the laboratory ... scattering of elastic waves in granular mediawith the seismic wave propagation in the crust of Earth and Moon (Dainty & Toksöz (1981);Hennino et al (2001); Snieder & Page (2007)) In particular, ... summarized in the following statement: ∂ t+vj · ∇ +losses L jkj(x, t) =source+scattering, (39)which mathematically describes the phenomenon of multiple scattering of elastic waves ingranular

Ngày tải lên: 19/06/2014, 12:20

... 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 illustrated ... 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 ... data containing 52 receivers with vertical, v z , and inline, v x, components of the particle velocity are shown in the left two panels in Figure 9 In order to enhance the interface waves the

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 ... containing the atmospheric air (see Fig 6) is equal to m0 = -24⋅10-30 kg; for PNC containing water we have m0 = -3,64⋅10-30 kg; and for PNC containing gold we obtain m0 = -6,94⋅10-30 kg Accordingly

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

... vanishing of the term − iν ω / In such a case, the acoustic field in any spatial point can thus be solved exactly in a same manner as in Section 2.4 By rewriting the complex coefficient A i in ... an individual bubble pulsating in a viscoelastic medium, on the other hand, the oscillation will be hindered by the friction damping caused by the viscoelastic solid wall While the bubble in ... here in the quadratic approximation by rewriting it into another form for the perturbation in bubble 1 studies regarding the nonlinear dynamics of a bubble in such a medium [3-6].For facilitating

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

... (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 ... (1990) Rayleigh-gravity waves in a heavy elastic medium Acta Mech 81:181–190 14 Das SC, Acharya DP, Sengupta PR (1992) Surface waves in an inhomogeneous elastic medium under the influence of gravity

Ngày tải lên: 15/12/2017, 23:56

... model finding a broad range of applications, including: the Earth’s crust in mology, the foundation/soil interaction in geotechnical engineering, thermal barriercoatings, tissue structures in biomechanics, ... the journal pertain Trang 2Rayleigh waves with impedance boundaryconditions in anisotropic solids Pham Chi Vinha ∗ and Trinh Thi Thanh Hueb aFaculty of Mathematics, Mechanics and Informatics Hanoi ... ”Surface waves” This data is really amazing! It shows a tremendousscale of scientific and industrial interests in this area For Rayleigh waves their explicit secular equation are important in practicalapplications

Ngày tải lên: 16/12/2017, 00:31

... Trang 1Rayleigh waves in an incompressible orthotropichalf-space coated by a thin elastic layer P C VINH1), N T K LINH2), V T N ANH1) 1) Faculty of Mathematics, Mechanics and Informatics Hanoi ... data They are therefore the main purpose of the investigations of Rayleigh waves propagating in half-spaces covered with a thin layer Taking Trang 2the assumption of thin layer, explicit dispersion ... estab-lished. The main purpose of this paper is to establish an approximate secular equa-tion of Rayleigh waves propagating in an incompressible orthotropic elastic half-space coated by a thin incompressible

Ngày tải lên: 16/12/2017, 01:11

... origin andXis to be taken aboveX Same quantities related toXandXhave the same symbol but are systematically distinguished by an asterisk if pertaining toX We are interested in planar motion in ... 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 ... of investigaequa-tions of Stoneley waves under the influence of gravity, for which only the implicit dispersion equations were previously obtained Ó 2009 Elsevier Inc All rights reserved 1 Introduction

Ngày tải lên: 16/12/2017, 02:24

... 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 ... for the study are presented in Section 2, including velopment of the constitutive law for an initially stressed elastic material in terms ofinvariants, as described in Shams and Ogden (2014),

Ngày tải lên: 16/12/2017, 03:35

... 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

... 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 ... 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, ... 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...

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