Shock front analysis for axial shear wave propagation in a hyperelastic incompressible solid

Acta Mechanica ◽

10.1007/bf01179013 ◽

1999 ◽

Vol 133 (1-4) ◽

pp. 105-129 ◽

Author(s):

D. W. Barclay

Keyword(s):

Wave Propagation ◽

Shock Front ◽

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Nonlinear axial shear wave propagation in a hyperelastic incompressible solid

Acta Mechanica ◽

10.1007/bf01184294 ◽

1987 ◽

Vol 66 (1-4) ◽

pp. 205-216 ◽

Author(s):

J. B. Haddow ◽

S. A. Lorimer ◽

R. J. Tait

Keyword(s):

Wave Propagation ◽

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Wavefront expansions for non-linear axial shear wave propagation

International Journal of Non-Linear Mechanics ◽

10.1016/s0020-7462(97)00016-4 ◽

1998 ◽

Vol 33 (2) ◽

pp. 259-274 ◽

Author(s):

D.W. Barclay

Keyword(s):

Wave Propagation ◽

Axial Shear ◽

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Measurement of Shear Wave Propagation and Investigation of Estimation of Shear Viscoelasticity for Tissue Characterization of the Arterial Wall

Choonpa Igaku ◽

10.3179/jjmu.33.65 ◽

2006 ◽

Vol 33 (1) ◽

pp. 65-74

Author(s):

Kazuhiro SUNAGAWA ◽

Hiroshi KANAI

Keyword(s):

Wave Propagation ◽

Arterial Wall ◽

Tissue Characterization

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Wave Speeds and Green’s Tensors for Shear Wave Propagation in Incompressible, Hyperelastic Materials with Uniaxial Stretch

2019 IEEE International Ultrasonics Symposium (IUS) ◽

10.1109/ultsym.2019.8925659 ◽

2019 ◽

Author(s):

Ned C. Rouze ◽

Annette Caenen ◽

Kathryn R. Nightingale

Keyword(s):

Wave Propagation ◽

Wave Speeds ◽

Hyperelastic Materials

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Shock calculations for axially symmetric shear wave propagation in a hyperelastic incompressible solid

International Journal of Non-Linear Mechanics ◽

10.1016/s0020-7462(02)00141-5 ◽

2004 ◽

Vol 39 (1) ◽

pp. 101-121 ◽

Author(s):

D.W. Barclay

Keyword(s):

Wave Propagation ◽

Axially Symmetric

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Influence of an impulsive source on shear wave propagation in a mounted porous layer over a foundation with dry sandy elastic stratum and functionally graded substrate under initial stress

Soil Dynamics and Earthquake Engineering ◽

10.1016/j.soildyn.2020.106536 ◽

2021 ◽

Vol 142 ◽

pp. 106536

Author(s):

Pulkit Kumar ◽

Abhishek Kumar Singh ◽

Amares Chattopadhyay

Keyword(s):

Wave Propagation ◽

Initial Stress ◽

Porous Layer ◽

Functionally Graded ◽

Impulsive Source

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Analytical study on shear wave propagation in anisotropic dry sandy spherical layered structure

Applied Mathematical Modelling ◽

10.1016/j.apm.2021.10.014 ◽

2021 ◽

Author(s):

Pulkit Kumar ◽

Moumita Mahanty ◽

Abhishek Kumar Singh ◽

Amares Chattopadhyay

Keyword(s):

Wave Propagation ◽

Layered Structure ◽

Analytical Study

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Assessing viscoelasticity of shear wave propagation in cervical tissue by multiscale computational simulation

Journal of Biomechanics ◽

10.1016/j.jbiomech.2015.01.044 ◽

2015 ◽

Vol 48 (9) ◽

pp. 1549-1556 ◽

Author(s):

L. Peralta ◽

G. Rus ◽

N. Bochud ◽

F.S. Molina

Keyword(s):

Wave Propagation ◽

Computational Simulation ◽

Cervical Tissue

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Mapped Chebyshev pseudo-spectral method for simulating the shear wave propagation in the plane of symmetry of a transversely isotropic viscoelastic medium

Medical & Biological Engineering & Computing ◽

10.1007/s11517-016-1522-9 ◽

2016 ◽

Vol 55 (3) ◽

pp. 389-401 ◽

Author(s):

Bo Qiang ◽

John C. Brigham ◽

Robert J. McGough ◽

James F. Greenleaf ◽

Matthew W. Urban

Keyword(s):

Wave Propagation ◽

Spectral Method ◽

Viscoelastic Medium ◽

Transversely Isotropic ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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Radial Propagation of Axial Shear Waves in a Finitely Deformed Elastic Solid

Journal of Applied Mechanics ◽

10.1115/1.3423278 ◽

1974 ◽

Vol 41 (1) ◽

pp. 83-88 ◽

Author(s):

M. Kurashige

Keyword(s):

Wave Propagation ◽

Method Of Characteristics ◽

Shear Waves ◽

Elastic Solid ◽

Radial Deformation ◽

Numerical Examples ◽

Axial Shear ◽

Cylindrical Bore ◽

Basic Equations ◽

Radial Propagation

A study is made of the radial propagation of axial shear waves in an incompressible elastic solid under finite radial deformation. Basic equations are derived on the basis of Biot’s mechanics of incremental deformations, and analysis is made by the method of characteristics. Numerical examples are given by specializing the initial deformation to two cases: (a) an infinite solid with a cylindrical bore is inflated by all-around tension, and (b) a cuboid is rounded into a ring and its ends are bonded to each other. The influence of the inhomogeneities of such deformations upon the laws of shear wave propagation is presented in the form of curves.

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