Generation of SH-type waves due to shearing stress discontinuity in a sandy layer overlying an isotropic and inhomogeneous elastic half-space

Pal, P. C.; Mandal, Dinbandhu

doi:10.2478/s11600-013-0163-8

Cited by 12 publications

(5 citation statements)

References 7 publications

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“…Using this technique, Nag and Pal [17]; Pal and Debnath [22]; Pal and Sen [24]; Pal and Kumar [25] and Pal [21,26] studied the shearing-stress discontinuities in different types of layered structures and elastic half spaces. Later on, Pal and Mandal [23] illustrated the generation of SH-type waves due to shearing stress discontinuity in sandy layer overlying an isotropic and inhomogeneous elastic half-space using this method. Recently, Kumar and Mandal [16] gave analytical solution for generation of SH-type waves due to shearing stress discontinuity in an anisotropic layer overlying an initially stressed elastic half-space.…”

Section: Introductionmentioning

confidence: 99%

Generation and Propagation of SH Waves Due to Shearing Stress Discontinuity in Linear Orthotropic Viscoelastic Layered Structure

Singh

Koley

Chaki

2021

Int. J. Appl. Comput. Math

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This present paper deals with the generation and propagation of SH wave due to shearingstress discontinuity at the common interface of a linear orthotropic viscoelastic layer of finite thickness overlying linear orthotropic viscoelastic half-space. Laplace and Fourier transformations in combination with the modified Cagniard-De Hoop method have been adopted as the solution technique for the present problem. The free surface displacement field has been obtained in integral form for four distinct cases of shear-stress discontinuity (Case 1, 2, 3 and 4) at the common interface of stratum and substrate of the layered structure. Numerical computation and graphical demonstration have been carried out to observe the profound effects of various affecting parameters viz. time of disturbance, distance from the source of disturbance, attenuation parameter and angular frequency on free surface displacement field which serve as major highlights of the present study.

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Section: Introductionmentioning

confidence: 99%

Generation and Propagation of SH Waves Due to Shearing Stress Discontinuity in Linear Orthotropic Viscoelastic Layered Structure

Singh

Koley

Chaki

2021

Int. J. Appl. Comput. Math

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“…Pal [1983] considered the problem of generation and propagation of SH-type waves due to non-uniformly moving stress discontinuity in layered anisotropic elastic half-space using Garvin's [1956] techniques, which are a modification of Cagniard's [1939] technique. Pal and Kumar [2000] considered the generation of SH waves by a moving stress discontinuity in an anisotropic soil layer over an elastic half-space using the Cagniard-de Hoop special reduction technique [de Hoop 1960]. Next de Hoop [2002] considered the reflection and transmission properties of an elastic interfacial bonding of two semi-infinite solids, investigated for the simplest possible case of a line-source excited two-dimensional SH-wave.…”

Section: Introductionmentioning

confidence: 99%

Generation of SH-type waves due to shearing stress discontinuity in an anisotropic layer overlying an initially stressed elastic half-space

Kumar

Mandal²

2018

Math. Mech. Compl. Sys.

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The paper investigates the generation of SH-type waves due to a sudden application of a stress discontinuity which moves after creation at the anisotropic layer of finite thickness overlying an initially stressed isotropic half-space. The displacements are obtained in exact form by the method due to Cagniard modified by de Hoop. Two cases of shearing stress discontinuities are considered. The numerical results are obtained for a particular model and discussed by plotting graphs for displacement component with the elapsed time of the disturbance for different values of initial stress and also for different values of initial time at which pulses arrive.

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“…202 SANTOSH KUMAR AND DINBANDHU MANDAL discontinuity in layered anisotropic elastic half-space using Garvin's [1956] techniques, which are a modification of Cagniard's [1939] technique. Pal and Kumar [2000] considered the generation of SH waves by a moving stress discontinuity in an anisotropic soil layer over an elastic half-space using the Cagniard-de Hoop special reduction technique [de Hoop 1960]. Next de Hoop [2002] considered the reflection and transmission properties of an elastic interfacial bonding of two semi-infinite solids, investigated for the simplest possible case of a line-source excited two-dimensional SH-wave.…”

Section: Introductionmentioning

confidence: 99%

Untitled

2018

Math. Mech. Compl. Sys.

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Generation of SH-type waves due to shearing stress discontinuity in a sandy layer overlying an isotropic and inhomogeneous elastic half-space

Cited by 12 publications

References 7 publications

Generation and Propagation of SH Waves Due to Shearing Stress Discontinuity in Linear Orthotropic Viscoelastic Layered Structure

Generation and Propagation of SH Waves Due to Shearing Stress Discontinuity in Linear Orthotropic Viscoelastic Layered Structure

Generation of SH-type waves due to shearing stress discontinuity in an anisotropic layer overlying an initially stressed elastic half-space

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