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3 International Journal of Applied Mechanics and Engineering

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On discontinuties in thermoelastic plane waves without energy dissipation due to a thermo-mechanical shock

Sarkar N., Lahiri A.

International Journal of Applied Mechanics and Engineering

2013

Vol. 18, no. 2

503--519

The present paper deals with the thermoelastic plane waves due to a thermo-mechanical shock in the form of pulse at the boundary of a homogeneous, isotropic thermoelastic half-space. The field equations of the Green- Naugdhi theory without energy dissipation for an thermoelastic solid in the generalized thermoelasticity theory are written in the form of a vector-matrix differential equation using Laplace transform techniques and then solved by an eigenvalue approach. Exact expressions for the considered field variables are obtained and presented graphically for copper-like material. The characteristic features of the present theory are analyzed by comparing these solutions with their counterparts in other generalized thcrmoelasticity theories.

Interactions due to moving heat sources in generalized thermoelastic half-space using L-S model

Sarkar N., Lahiri A.

International Journal of Applied Mechanics and Engineering

2013

Vol. 18, no. 3

815--831

A one-dimensional problem for a homogeneous, isotropic and thermoelastic half-space subjected to a moving plane of heat source on the boundary of the space, which is traction free, is considered in the context of Lord- Shulaman model (L-S model) of thermoelasticity. The Laplace transform and eigenvalue approach techniques are used to solve the resulting non-dimensional coupled equations. Numerical results for the temperature, thermal stress, and displacement distributions are represented graphically and discussed.

Eigenvalue approach to study generalized thermoelastic problem for an infinitely long circular cylinder

Lahiri A., Sarkar N.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 3

731-745

In this work, a one-dimensional problem for an infinitely long circular cylinder is solved by an eigenvalue approach. The outer surface of this cylinder is traction free and subjected to a thermal shock. The problem is in the context of the theory of generalized thermoelasticity with one relaxation time parameter. The Laplace transform technuiqe is used. The solution in the transformed domain is obtained by a direct eigenvalue approach. The inversion of the Laplace transform solution is evaluated numerically. Numerical results are obtained and represented graphically for two cases and finally compared with the current results available in the literature.