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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.
Received: 15.04.2020 Revised: 15.04.2020 Accepted: 10.08.2022
Citation:
Aktar Seikh, Soumen Shaw, Smita Pal (Sarkar), “Memory response on thermoelastic behavior with temperature dependent material moduli under mechanical strip load”, Zh. Vychisl. Mat. Mat. Fiz., 63:2 (2023), 327; Comput. Math. Math. Phys., 63:2 (2023), 295–310
Linking options:
https://www.mathnet.ru/eng/zvmmf11517 https://www.mathnet.ru/eng/zvmmf/v63/i2/p327
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