2nd International Conference on Advanced Materials & Devices for Futuristic Applications-2024 (IC-AMDFA 2024)

Dynamical Behavior of Initially Stressed Generalized Magneto-thermoelastic Models under the Effect of Nonlocality and Two Temperature Parameter

Authors
Sonia Bajaj1, 2, *, A. K. Shrivastav1
1Department of Mathematics, MMEC, Maharishi Markandeshwa (Deemed to Be University), Mullana, Ambala, Haryana, India
2Department of Mathematics, Chandigarh University, Mohali, India
*Corresponding author. Email: bajajsonia1501@gmail.com
Corresponding Author
Sonia Bajaj
Available Online 30 May 2026.
DOI
10.2991/978-94-6239-695-1_10How to use a DOI?
Keywords
Gravity; initial stress; magnetic field; thermoelasticity; three-phase lag model; two temperature theory
Abstract

The effect of nonlocal and two-temperature parameter on an initially stressed generalized magneto-thermoelastic solid with gravity has been discussed. The problem is studied using Green-Naghdi (GN II), Lord-Shulman (L-S), and the three phase lag (TPL) models. The governing equations are solved by the normal mode method, and analytic solutions are obtained for representations of the displacement, force stress tensors, and temperatures. The effects on physical fields are observed when suitable boundary conditions are applied. MATLAB software has been used for the calculation and execution of numerical computations. Comparative graphical analysis is shown for three different theories in the presence and absence of two temperature parameter. The numerical findings for the quantities of fields that are physical domains are visually displayed in the presence and absence of the nonlocal parameter.

In summary, two temperature and nonlocal thermoelasticity significantly impact the physical variables.

Copyright
© 2026 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
2nd International Conference on Advanced Materials & Devices for Futuristic Applications-2024 (IC-AMDFA 2024)
Series
Atlantis Highlights in Material Sciences and Technology
Publication Date
30 May 2026
ISBN
978-94-6239-695-1
ISSN
2590-3217
DOI
10.2991/978-94-6239-695-1_10How to use a DOI?
Copyright
© 2026 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

TY  - CONF
AU  - Sonia Bajaj
AU  - A. K. Shrivastav
PY  - 2026
DA  - 2026/05/30
TI  - Dynamical Behavior of Initially Stressed Generalized Magneto-thermoelastic Models under the Effect of Nonlocality and Two Temperature Parameter
BT  - 2nd International Conference on Advanced Materials & Devices for Futuristic Applications-2024 (IC-AMDFA 2024)
PB  - Atlantis Press
SP  - 163
EP  - 183
SN  - 2590-3217
UR  - https://doi.org/10.2991/978-94-6239-695-1_10
DO  - 10.2991/978-94-6239-695-1_10
ID  - Bajaj2026
ER  -