A general form of the heat conduction equation of thermoelasticity with voids and gravity field

Abstract

Purpose

The purpose of this paper is to discuss the problem of thermoelasticity with voids under the gravity field in the context of a general form of heat conduction equation with some particular cases. The normal mode method used is to obtain the physical quantities.

Design/methodology/approach

The analytical method used was the normal mode.

Findings

Numerical results for the physical quantities are presented graphically and the results are analyzed thereafter. The comparisons are established between the theories for the physical quantities during the constant time and gravity and were shown graphically.

Originality/value

In the present work, the authors shall establish the general form for the heat conduction equation which contains the seven theories as well as the special cases in thermoelasticity with voids. The problem is very important in many dynamical systems.

Citation

I.M. Hilal, M. and Othman, M.I.A. (2018), "A general form of the heat conduction equation of thermoelasticity with voids and gravity field", Multidiscipline Modeling in Materials and Structures, Vol. 14 No. 1, pp. 65-76. https://doi.org/10.1108/MMMS-07-2017-0060