D S Chandrasekharaiah
Articles written in Proceedings – Mathematical Sciences
Volume 89 Issue 1 January 1980 pp 43-52
Generalised thermoelasticity theories are employed to study one-dimensional disturbances in a half-space due to a thermal impulse on the boundary. Short time approximation of solutions are deduced and the exact discontinuities in the mechanical and thermal fields are analysed using the Laplace transform technique.
Volume 92 Issue 2 November 1983 pp 109-120
Free surface waves of arbitrary form in a homogeneous and isotropic linear micropolar thermoelastic half-space with stress-free plane boundary are investigated. It is found that all physical quantities associated with the waves are derivable from two scalar functions and that there exist two families of waves in general. One of these is the classical thermoelastic wave modified under the influence of the microelastic field and the other is a new surface wave not encountered in classical elasticity. The waves are not necessarily plane waves and even when these are assumed to propagate in a fixed direction parallel to the boundary, unlike in classical elasticity, the problem is not one of plane strain. Explicit expressions for the displacement vector, microrotation vector and the temperature are obtained and the nature of deformation has been analysed. Several earlier results are deduced as particular cases of the more general results obtained here.
Volume 92 Issue 3 December 1983 pp 135-141
A theorem on the uniqueness of solutions, a generalised Hamilton’s principle and a reciprocal theorem for dynamical mixed boundary value problems are obtained in the context of a linear anisotropic thermoelasticity theory which predicts a finite speed of propagation of thermal signals.
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