 | | 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: | | 12949 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
|
| In English (Mech. Solids): | | 4853 |
|
| << Previous article | Volume 59, Issue 4 / 2024 | Next article >> |
| Prajjwal Parmar, Saroj Mandal, and Smita Pal Sarkar, "Study of Generalized Two-Temperature Magneto Thermoelastic Problem Involving Memory Dependent Derivative under Fuzzy Environment," Mech. Solids. 59 (4), 2366-2386 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
4 |
Pages |
2366-2386 |
| DOI |
10.1134/S0025654424603975 |
| Title |
Study of Generalized Two-Temperature Magneto Thermoelastic Problem Involving Memory Dependent Derivative under Fuzzy Environment |
| Author(s) |
Prajjwal Parmar (Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, 711103 India, prajjwalparmar77@gmail.com)
Saroj Mandal (Department of Mathematics, Sitananda College, Nandigram, West Bengal, 721631 India, srj86mail@gmail.com)
Smita Pal Sarkar (Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, 711103 India, smitasarkar.math@faculty.iiests.ac.in) |
| Abstract |
A generalized two-temperature thermoelastic model with a memory-dependent derivative
has been constructed for a two-dimensional magneto-thermoelastic problem interacting in an isotropic homogeneous, perfectly conducting semi-infinite medium under the fuzzy environment. The
thermophysical fuzzy variables like displacement, temperature, and other variables are considered in r-cut form. The theoretical solutions of coupled partial differential equations are calculated in the
combined Laplace–Fourier transformed domain using the eigenvalue approach under the traction-free boundary and thermal shock, which is dependent on time. Numerical results of thermophysical
fuzzy variables are illustrated graphically for varying parameters such as time delay, kernel functions,
and time and are compared with their respective crisp plots. The real-life applications and conclusions
based on analytical and numerical results are discussed later on. |
| Keywords |
magneto-thermoelasticity, two-temperature thermoelasticity in fuzzy environment, memory-dependent-derivative, Laplace–Fourier transform, vector matrix differential equation, eigenvalue approach |
| Received |
27 May 2024 | Revised |
19 August 2024 | Accepted |
27 August 2024 |
| Link to Fulltext |
|
| << Previous article | Volume 59, Issue 4 / 2024 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English