MEMORY RESPONSE ON THERMOELASTIC BEHAVIOUR WITH TEMPERATURE DEPENDENT MATERIAL MODULI UNDER MECHANICAL STRIP LOAD
- Authors: Seikh A.1, Shaw S.2, Pal (Sarkar) S.1
- 
							Affiliations: 
							- Department of Mathematics, Indian Institute of Engineering Science and Technology
- Department of Mathematics Dinabandhu Andrews College
 
- Issue: Vol 63, No 2 (2023)
- Pages: 327
- Section: Mathematical physics
- URL: https://rjdentistry.com/0044-4669/article/view/664896
- DOI: https://doi.org/10.31857/S0044466923020035
- EDN: https://elibrary.ru/BREOGK
- ID: 664896
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Abstract
Temperature of the medium has a significant impact on the deformation and stress distribution into the medium. Material moduli is another key component that determines the deformation of the structural element. The present paper deals with the thermal memory response on stress and temperature fields in an isotropic medium. The material moduli of the medium are considered to be varying with temperature. Consequently, the classical heat conduction law is replaced by the memory dependent generalized theory of heat conduction. Analytical solutions of the field functions are obtained in the integral transform domain. The variations of the field functions in the space-time coordinate system are displayed graphically for different empirical constants and kernel functions.
About the authors
Aktar Seikh
Department of Mathematics, Indian Institute of Engineering Science and Technology
														Email: soumen@rediffmail.com
				                					                																			                												                								Howrah, 711103, Shibpur						
Soumen Shaw
Department of Mathematics Dinabandhu Andrews College
														Email: soumen@rediffmail.com
				                					                																			                												                								Kolkata, 700084, Kolkata						
Smita Pal (Sarkar)
Department of Mathematics, Indian Institute of Engineering Science and Technology
							Author for correspondence.
							Email: soumen@rediffmail.com
				                					                																			                												                								Howrah, 711103, Shibpur						
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