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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2023-6pp.2424-2442

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Kulvinder Singh and Iqbal Kaur, "Generalized Micro-Polar Axisymmetric Thermo-Elastic Solid with Higher Order Memory Dependent Derivatives," Mech. Solids. 58 (6), 2424-2442 (2023)
Year 2023 Volume 58 Number 6 Pages 2424-2442
DOI 10.3103/S0025654423601490
Title Generalized Micro-Polar Axisymmetric Thermo-Elastic Solid with Higher Order Memory Dependent Derivatives
Author(s) Kulvinder Singh (Faculty of Engineering, UIET, Kurukshetra University, Haryana, India, ksingh2015@kuk.ac.in)
Iqbal Kaur (Department of Mathematics,Government College for Girls, Palwal, Kurukshetra, India, bawahanda@gmail.com)
Abstract Our research aims to obtain generalized micropolar thermoelasticity based on higher-order memory-dependent derivatives. The study was conducted on an axisymmetric solid with rigidly fixed boundaries that was subjected to an axisymmetric thermal shock. We obtained the solution in the transformed domain using the Laplace and Hankel transforms. In order to estimate the nature of the components of displacement, stresses, as well as couple stress in the physical domain, an efficient approximate numerical inverse Laplace and Hankel transform technique is adopted. The numerical results for displacement components, stress components, and couple stress components are obtained and represented graphically.
Keywords micropolar, thermoelastic, memory dependent derivatives
Received 26 August 2023Revised 01 September 2023Accepted 02 September 2023
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