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2 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.

A unified generalized thermoelasticity formulation: application to an infinite body with a cylindrical cavity and variable material properties

Banik S., Mallik S. H., Kanoria M.

International Journal of Applied Mechanics and Engineering

2009

Vol. 14, no 1

113-126

This paper is concerned with the determination of thermoelastic displacement, stress, and temperature produced in an infinite isotropic elastic body having a cylindrical cavity where the elastic parameters and the thermal conductivity are temperature dependent. The boundary of the cavity is subjected to time dependent thermal and mechanical shocks. The generalized coupled thermoelasticity theories for the problem are combined into a unified formulation introducing the unified parameters. The governing equations of the generalized thermoelasticity theory are obtained in the Laplace transform domain and are solved in that domain by finding out the roots by using Laguerre's method. The inversion of the transform solution is carried out numerically by applying a method based on the Fourier series expansion technique. The computed results for displacement, temperature and stress are shown graphically for the Lord-Shulman (LS) model and for two models of Green-Naghdi (GN) and the effects of the temperature dependent parameters are discussed.