The dynamic response of a homogeneous, isotropic, thermoelastic half-space with voids subjected to time harmonic normal force and thermal source is investigated by applying the Fourier transform. The displacements, stresses, temperature distribution, and change in volume fraction field obtained in the physical domain are computed numerically and illustrated graphically. The numerical results of these quantities for magnesium crystal-like material are illustrated to depict the voids effect for the theory of coupled thermoelasticity and uncoupled thermoelasticity for an insulated boundary and temperature gradient boundary.

A dynamical two-dimensional problem of thermoelasticity has been considered to investigate the disturbance due to mechanical (horizontal or vertical) and thermal source in a homogeneous, thermally conducting orthorhombic material. Laplace-Fourier transforms are applied to basic equations to form a vector matrix differential equation, which is then solved by eigenvalue approach. The displacements, stresses and temperature distribution so obtained in the physical domain are computed numerically and illustrated graphically. The numerical results of these quantities for zinc crystal-like material are illustrated to compare the results for different theories of generalised thermoelasticity for an insulated boundary and a temperature gradient boundary.

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The dynamic response of a homogeneous, Isotropic, generalized thermoelastie half-space wirh voids subjected to normal, tangential force and thermal souree is investigated. The displacements, stre.^se.i, temperature distrihution, and change in volume fraction field .so ohtained in the physical domain are computed numerically and illustrated graphically. Thc numerical results of these quantities for magnesium crystal-tike materiat are illustrated to depict the response of various sources in the Lord-Shulman and Green-Lindsay theories for an insulated boundary and temperature gradient boundary.The theory of linear elastic materials with voids is one of the most important generalizations of the classical theory of elasticity. This theory has practical utility for investigating various types of geological and biological materials for which elastic theory is inadequate. This theory is concerned with elastic materials consisting of a distribution of small pores (voids) in which the void volume is included among the kinematic variables and., in the limiting case of volume tending to zero, the theory reduces to the classical theory of elasticity.A nonlinear theory of elastic materials with voids was developed by Nunziato and Cowin [1]. Later, Cowin and Nunziato [2] developed a theory of linear elastic materials with voids for the mathematical study of the mechanical behavior of porous solids. They considered several appiications of the linear theory by investigating the response of the materials to homogeneous deformations, pure bending of beams, and small amplitudes of acoustic waves. Puri and Cowin [3] studied the behavior of plane waves in a linear elastic material with voids. The domain of influence theorem in the linear theory of elastic materials with voids was discussed by Dhaliwal and Wang [4], Scarpetta [5] studied well-posedness theorems for linear elastic materials with voids. Birsan [6] established existence and uniqueness of

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