Abstract

This paper deals with the study of thermal stresses in thin rectangular plate subjected to point heat source which changes its place along x-axis. Governing heat conduction equation has been solved by using integral transform technique. Results are obtained in the form of infinite series. As a special case, aluminum plate has been considered and results for thermal stresses have been computed numerically and graphically.

Highlights

  • Material properties are dependent on change in temperature

  • Steady state thermal stresses with axis symmetric temperature distribution in a circular plate subjected to the upper surface with respect to zero temperature on the lower surface and thermally insulated circular edge have been determined by [2]

  • Reference [4] has considered quasi-static thermal stresses in a thin circular plate due to transient temperature applied along the edge of a circle on the upper face with respect to lower face at zero temperature and a thermally insulated fixed circular edge

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Summary

Introduction

Material properties are dependent on change in temperature. The properties like elasticity and stresses at various temperatures have been studied. Temperature distribution, thermal functions, and displacement at any point of semi-infinite rectangular slab with internal heat source using integral transform technique are solved by [7]. Reference [9] has determined thermal stresses on thin rectangular plate by integral transform with internal moving point heat source. Integral transform technique is a powerful tool to solve various new general purpose numerical methods and can be applied to any multidimensional problem to get an approximate solution. This is the easiest way to find parameters like variation of temperature, and so forth.

Formulation of the Problem
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