 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13025 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8110
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| In English (Mech. Solids): | | 4915 |
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| << Previous article | Volume 59, Issue 6 / 2024 | Next article >> |
| Abhik Sur and Sudip Mondal, "Memory Response in an Elasto-Thermodiffusive Nonlocal Half-Space under Mechanical Damage," Mech. Solids. 59 (6), 3539-3558 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
6 |
Pages |
3539-3558 |
| DOI |
10.1134/S0025654424605330 |
| Title |
Memory Response in an Elasto-Thermodiffusive Nonlocal Half-Space under Mechanical Damage |
| Author(s) |
Abhik Sur (Department of Mathematics, Sister Nivedita University, West Bengal, India, abhiksur4@gmail.com)
Sudip Mondal (Department of Mathematics, Basirhat College, West Bengal, India, sudipmondal555@gmail.com) |
| Abstract |
The current work explores the thermoelastic diffusion for a homogeneous half-space with a permeating material that is in contact with the boundary plane. In the framework of nonlocal elasticity
theory, the constitutive relations for the current problem have been formulated upon considering the
mechanical damage. By absorbing the memory-dependent derivative, the present medium’s heat
transport equation has been created while accounting for the Moore–Gibson–Thompson generalized
heat equation within a slipping period. The half-space’s bounding plane is thermally shocked as
directed and is traction-free. The chemical potential on the bounding plane is also assumed to be time-dependent. Laplace transform has been used to solve the governing equations while the inversion of
the Laplace transform has been carried out using the method of Zakian. The numerical computation have been performed for various values of damage parameter to reveal significant effect of various
parameters such as nonlocal parameter and time-delay parameter and the effect of various kernel function have been studied. It has been shown that the nonlocal parameter exhibits significant effects
apart from the macroscopic theory. Also, notable effects of various kernel of the heat transport mechanism is outlined. |
| Keywords |
continuum damage mechanics, thermoelastic diffusion, Moore–Gibson–Thompson equation, chemical shock, nonlinear kernel functions |
| Received |
11 September 2024 | Revised |
22 November 2024 | Accepted |
23 November 2024 |
| Link to Fulltext |
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