Seth, Tanmoy, Molla, Mohammad Abul Kashim, Mondal, Nasiruddin, Mallik, Sadek Hossain. (1405). State Space Approach to Moore-Gibson-Thompson Generalized Piezo-Thermoelasticity with Memory-Dependent Derivative. هنرهای کاربردی, 13(2), 451-463. doi: 10.22075/macs.2025.36920.1808
Tanmoy Seth; Mohammad Abul Kashim Molla; Nasiruddin Mondal; Sadek Hossain Mallik. "State Space Approach to Moore-Gibson-Thompson Generalized Piezo-Thermoelasticity with Memory-Dependent Derivative". هنرهای کاربردی, 13, 2, 1405, 451-463. doi: 10.22075/macs.2025.36920.1808
Seth, Tanmoy, Molla, Mohammad Abul Kashim, Mondal, Nasiruddin, Mallik, Sadek Hossain. (1405). 'State Space Approach to Moore-Gibson-Thompson Generalized Piezo-Thermoelasticity with Memory-Dependent Derivative', هنرهای کاربردی, 13(2), pp. 451-463. doi: 10.22075/macs.2025.36920.1808
Seth, Tanmoy, Molla, Mohammad Abul Kashim, Mondal, Nasiruddin, Mallik, Sadek Hossain. State Space Approach to Moore-Gibson-Thompson Generalized Piezo-Thermoelasticity with Memory-Dependent Derivative. هنرهای کاربردی, 1405; 13(2): 451-463. doi: 10.22075/macs.2025.36920.1808

State Space Approach to Moore-Gibson-Thompson Generalized Piezo-Thermoelasticity with Memory-Dependent Derivative

Mechanics of Advanced Composite Structures
مقاله 16، دوره 13، شماره 2 - شماره پیاپی 28، بهمن 2026، صفحه 451-463    اصل مقاله (925.85 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22075/macs.2025.36920.1808
نویسندگان
Tanmoy Seth1؛ Mohammad Abul Kashim Molla2؛ Nasiruddin Mondal3؛ Sadek Hossain Mallik* 1
1Department of Mathematics and Statistics, Aliah University, Kolkata-700160, India
2Government General Degree College, Tehatta, Nadia- 741160, India
3Chengail High Madrasah, Uluberia, Howrah-711408, India
چکیده
The aim of this research is to investigate the thermal and mechanical responses in an isotropic piezo-thermoelastic semi-infinite medium that is subjected to a moving heat source. The exploration has been carried out in the context of two-temperature Moore-Gibson-Thomson generalized thermoelasticity with memory-dependent derivative (MDD). The two-temperature approach is adopted to discern the separate evolution of temperature gradients, while a memory-dependent derivative is employed to capture the historical behavior of the material. The resulting system of partial differential equations is systematically solved in the transformed domain of Laplace using the state space approach, an advanced mathematical technique. The Fourier series expansion technique for numerical Laplace inversion is used to derive the solution for various thermophysical quantities in the real space-time domain. Parametric studies are conducted to explore the influence of the heat source speed and the parameter related to the memory-dependent derivative on the material’s response. The outcomes of this work are presented graphically for a better understanding of the impacts of the parameters considered. Applications of this work extend to diverse areas, including material science, structural engineering, and thermal management systems.
کلیدواژه‌ها
Memory-Dependent Derivative؛ Piezo-Thermoelasticity؛ Moore-Gibson-Thomson equation؛ Two-Temperature generalized thermoelasticity؛ State space approach
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