ANALYTICAL STUDY OF TRANSIENT THERMOELASTIC DEFORMATION OF A THICK ANNULAR DISC

Print ISSN: 0972-7752 | Online ISSN: 2582-0850

Volume : 18 , Issue : Proceedings
Author :
Anjali K. Shinde (Department of Mathematics, K. T. H. M. College, Nashik, Maharashtra, INDIA)
Navlekar A. A. (Department of Mathematics, Pratisthan Mahavidyalaya Paithan, Aurangabad, Maharashtra, INDIA)
Kirtiwant P. Ghadle (Department of Mathematics, Dr. B. A. M. University, Aurangabad, Mahrashtra, INDIA)

Abstract

The manuscript presents an analytical approach to elaborate the thermoelastic behaviour of a thick annular disc subjected to stated boundary conditions. A direct, transient thermoelastic problem is formulated to study the thermal effects on deformation and stresses of a thick annular disc with internal heat generation.The numerical solution is obtained by using Finite Hankel and Marchi Fasulo Integral transform techniques. The obtained results are verified by preparing a mathematical model of annular disc made up of copper plate. The influence of internal heat generation on the temperature, displacements, and components of stresses are visualized graphically.

Keywords and Phrases

Thermal deformation, thick annular disc, Hankel transform, Marchi Fasulo transform.

A.M.S. subject classification

35A22.

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