Inverse Transient Thermoelastic Problem of Semi-Infinite Thick Hollow Cylinder

Abstract- This paper is concerned with inverse transient thermoelastic problem in which we need to determine the temperature distribution, displacement function and thermal stresses of a semi-infinite hollow cylinder when the boundary conditions are known. Integral transform techniques are used to obtain the solution of the problem.

Key Words: Semi-infinite hollow cylinder, transient problem, Integral transform, internal heat source, inverse problem

INTRODUCTION

In 2003, Noda et al. [1] have published a book on Thermal Stresses, second edition. Khobragade [2] studied Thermoelastic analysis of a thick annular disc with radiation conditions and Khobragade [3] discussed Thermoelastic analysis of a thick circular plate. Pathak et al. [4] studied Transient Thermo elastic Problems of a Circular Plate with Heat Generation. Love [5] published a book on a treatise on the mathematical theory of elasticity. Marchi and Zgrablich [6] studies Vibration in hollow circular membrane with elastic supports. Nowacki [7] discussed the state of stress in thick circular plate due to temperature field. Wankhede [8] studied the quasi-static thermal stresses in a circular plate. Ganar et al. [9] discussed heat transfer and thermal stresses of a thick circular plate. Singru et al. [10] studied thermal stress analysis of a thin rectangular plate with internal heat source and Singru [11] discussed thermal stresses of a semiinfinite rectangular slab with internal heat generation. Pakade et al. [12] studied transient thermoelastic problem of semi- infinite circular beam with internal heat source. Lamba et al. [13] discussed stress functions in a hollow cylinder under heating and cooling processes. Gahane et al. [14] studied transient thermoelastic problem of a semi-infinite cylinder with heat sources and Gahane et al. [15] discussed thermal stresses in a thick circular plate with internal heat sources. Hiranwar et al. [16] studied thermoelastic problem of a cylinder with internal heat sources. Roy et al. [17] discussed transient thermoelastic problem of an infinite rectangular slab. Bagade et al. [18] studied thermal stresses of a semi infinite rectangular beam.
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