An Interval Parametric Approach for the Solution of One Dimensional Generalized Thermoelastic Problem

Journal of Solid Mechanics

مقاله 5، دوره 14، شماره 1، خرداد 2022، صفحه 67-76   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.22034/jsm.2021.1906291.1630

نویسندگان

S Mandal^{* 1}؛ S Pal Sarkar²؛ T Kumar Roy²

¹Department of Mathematics, Sitananda College, Nandigram, Purba Medinipur-721631, India ---Department of Mathematics, IIEST, Shibpur, Howrah-711103, India

²Department of Mathematics, IIEST, Shibpur, Howrah-711103, India

چکیده

This paper is presenting the solutions of the one dimension generalized thermo-elastic coupled equations by considering some thermo-elastic constants as interval numbers. As most of the elastic constants are obtained using the experimental methods. Thus there might be some deficiency of exactness to obtain such constants. This kind of deficiency might cause the results on a micro-scale.  L-S model has been considered to study the effect of such an interval parametric approach to generalized thermoelasticity. Laplace transform method applied to obtain a system of coupled ordinary differential equations. Then the vector-matrix differential form is used to solve these equations by the eigenvalue approach in Laplace transformed domain. The solution in the space-time domain obtained numerically. The numerical solutions obtained by using some suitable inverse transformation method. The solutions are graphically represented for different values of the parameter of interval parametric form and the significance of obtained results are described along with the behavior of the solutions.

کلیدواژه‌ها

Eigen value؛ Generalized thermoelasticity؛ Interval number؛ Laplace transformation؛ Vector matrix differential equation

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