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1 International Journal of Applied Mechanics and Engineering

1 2009

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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.