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Propagation of SH-wave through an elastic slab sandwiched between two half-spaces

Tomar S. K., Singh B.

International Journal of Applied Mechanics and Engineering

2005

Vol. 10, no 2

345-358

Two boundary value problems are investigated in this paper: first, a plane SH-wave incident upon a slab of monoclinic crystal which is interposed between two uniform elastic solid half-spaces; second, a plane SH-wave incident upon a linear homogeneous isotropic elastic slab interposed between two monoclinic elastic half-spaces. The expressions of reflection and transmission coefficients are derived in a closed form and several particular cases are discussed. Elastic constants for rock gypsum (CaSO4.2H2O) are used in numerical computations to describe the effect of monoclinic properties on reflection and transmission coefficients. It is found that there is a significant effect of the interposed layer on reflection and transmission coefficients.

Transmission of plane SH-wave through a self-reinforced elastic slab sandwiched between two anisotropic inhomogeneous elastic solid half-spaces

Chaudhary S., Kaushik V. P., Tomar S. K.

International Journal of Applied Mechanics and Engineering

2004

Vol. 9, no 1

131-146

A problem of reflection and transmission of an SH-wave through a self-reinforced elastic slab (layer) sandwiched between two transversely isotropic and inhomogeneous elastic solid half-spaces has been investigated. Formulae for reflection and refraction coefficients are obtained in a closed form and it is found that these coefficients are strongly influenced by the anisotropy and inhomogeneity of the half-spaces and on the reinforcement parameters of the sandwiched layer. These coefficients are computed for different values of heterogeneity parameters of the half-spaces and reinforcement parameters of the sandwiched layer. An effect of thickness of sandwiched layer on these coefficients is also noticed.