Abstract
The present problem is concerned with the deformation of an infinite fibre-reinforced generalized thermoe-lastic medium with hydrostatic initial stress under the influence of mechanical force. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress and temperature distribution. The numerical results are given and presented graphically for Green -Lindsay [4] theory of thermoelasticity. Comparisons are made in the presence and absence of hydrostatic initial stress and anisotropy.
Highlights
The classical theories of thermo-elasticity involving infinite speed of propagation of thermal signals, contradict physical facts
The present problem is concerned with the deformation of an infinite fibre-reinforced generalized thermoelastic medium with hydrostatic initial stress under the influence of mechanical force
Comparisons are made in the presence and absence of hydrostatic initial stress and anisotropy
Summary
The classical theories of thermo-elasticity involving infinite speed of propagation of thermal signals, contradict physical facts. Barber [5] studied thermoelastic displacements and stresses due to a heat source moving over the surface of a half plane. Singh and Singh [18] discussed the reflection of plane waves at the free surface of a fibre-reinforced elastic half-space. Singh [20] studied the effects of anisotropy on reflection coefficients of plane waves in fibre-reinforced thermoe- lastic solid. Singh et al [27], Singh [28] and Othman and Song [29] studied the reflection of thermoelastic waves from a free surface under a hydrostatic initial stress in the context of different theories of generalized thermoelasticity. Ailawalia [31] obtained the components of displacement, stresses, temperature distribution of thermoelastic solid half-space under hydrostatic initial stress subjected to ramp-type heating and loading for G-N theory (type III). Effects of hydrostatic initial stress and anisotropy are shown graphically on normal displacement, normal force stress and temperature distribution for Green-Lindsay [1] theory of thermoelasticity
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