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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2023 Volume 63, Number 2, Page 327 (Mi zvmmf11517)

Mathematical physics

Memory response on thermoelastic behavior with temperature dependent material moduli under mechanical strip load

Aktar Seikha, Soumen Shawb, Smita Pal (Sarkar)a

a Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103
b Department of Mathematics Dinabandhu Andrews College, Kolkata, Kolkata-700084

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.

Key words: variable material moduli, memory dependent derivative, hyperbolic thermoelasticity, Laplace–Fourier transformation.

UDC: 519.63

Received: 15.04.2020
Revised: 15.04.2020
Accepted: 10.08.2022

Language: English

DOI: 10.31857/S0044466923020035


 English version:
Computational Mathematics and Mathematical Physics, 2023, 63:2, 295–310

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© Steklov Math. Inst. of RAS, 2024