Generation of SH-type waves due to non-uniformly moving stress-discontinuity in layered anisotropic elastic half-space

Disturbance of SH-type waves due to moving stress discontinuity in an anisotropic soil layer overlying an inhomogeneous elastic half-space

“…For the above reasons, the stress discontinuity may be treated as a moving source either with uniform velocity or with non-uniform velocity. Relating to stress discontinuity, Pal (1983) has considered the problem of generation of SH-type waves due to non-uniformly moving stress discontinuity in a layered anisotropic elastic half-space. It is our intention in the present paper, to investigate the disturbance of SH-type waves at the free surface of a anisotropic soil layer due to an impulsive stress discontinuity moving with nonuniform velocity along the interface of isotropic homogeneous and inhomogeneous medium.…”

“…The problem can readily be solved by using the Laplace and Fourier transforms combined with the modified Cagniard-de Hoop (1960) technique and used by Pal (1983). The Laplace transform of a function v(x, z, t) with respect to t will be defined by…”

“…The method to be adopted here is the same as that considered by Pal (1983), so to avoid mere repetition; we only write the final result. Hence, we finally obtain the solid displacement component on the free surface z = −h of the soil layer as follows:…”

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

“…In addition to initial stress, shearing stress discontinuity also plays a vital role in the study of seismic wave propagation. 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].…”

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“…In addition to initial stress, shearing stress discontinuity also plays a vital role in the study of seismic wave propagation. Pal [1983] considered the problem of generation and propagation of SH-type waves due to non-uniformly moving stress Communicated by Holm Altenbach. MSC2010: 35L05, 74J15.…”