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Reflection/refraction of SH waves at a corrugated interface between transversely isotropic and visco-elastic solid half-spaces

100%

Tomar S. , Kumar R. , Chopra A.

2002

tom Vol. 50, nr 2

231-249

The problem of reflection and transmission of SH waves at a corrugated interface between transversely isotropic half-space and visco-elastic half-space is investigated. Rayleigh's method is adopted and expressions of reflection and transmission coefficients are obtained in closed form for the first order approximation of the corrugation. It is found that these coefficients depend on corrugation of the interface and are affected by the elastic properties of the media. Numerical computations have been performed and the results obtained are presented graphically. Some earlier results, including those of Tomar and Saini (1997) and Asano (1960), have been obtained as particular cases of the problem.

Transient thermo-elastic disturbances in a visco-elastic semi-space due to a moving internal heat source

72%

Lotfy K. H. , Fathy R. A.

2010

tom Vol. 15, no 4

1169-1184

This paper investigates the transient disturbances created by an internal line heat source that suddenly starts moving uniformly inside a visco-elastic half-space. The generalised theory of thermo-elasticity with relaxation time proposed by Lord and Shulman (1967) is applied. The material of the semi-infinite medium is an isotropic visco-elastic solid of Kelvin-Voight type. Applying the Fourier and Laplace transform technique, expressions for displacement components in the transformed domain are found. These expressions prove the existence of three waves - a modified thermal wave, a visco-elastic wave of defused nature and a transverse visco-elastic wave. Surface displacement components are evaluated on the boundary for small time only. Numerical results are given and illustrated graphically to highlight the variations of surface displacement components with distance for different values of time, source depth and velocity of the source.

Transient thermo-elastic disturbances in a visco-elastic semi-space due to a moving internal heat source

72%

Lotfy K.

2011

tom Vol. 16, no 3

747-762

This paper investigates the transient disturbances created by an internal line heat source that suddenly starts moving uniformly inside a visco-elastic half-space. The generalised theory of thermo-elasticity with relaxation time proposed by Lord-Shulman (1967) is applied. The material of the semi-infinite medium is isotropic visco-elastic solid of Kelvin-Voight type. Applying the Fourier and Laplace transform technique, expressions for displacement components in the transformed domain are found out. These expressions prove the existence of three waves - a modified thermal wave, a visco-elastic wave of defused nature and a transverse visco-elastic wave. Surface displacement components are evaluated on the boundary for small time only. Numerical results are given and illustrated graphically to highlight the variations of surface displacement components with distance for different values of time, source depth and velocity of the source.