Open Access
ARTICLE
A Novel BEM for Modeling and Simulation of 3T Nonlinear Generalized Anisotropic Micropolar-Thermoelasticity Theory with Memory Dependent Derivative
Mohamed Abdelsabour Fahmy1,2,*
1 Jamoum University College, Umm Al-Qura University, Makkah, Saudi Arabia
2 Faculty of Computers and Informatics, Suez Canal University New Campus, Ismailia, 41522, Egypt
* Corresponding Authors: Mohamed Abdelsabour Fahmy. Email: ; mohamed
Computer Modeling in Engineering & Sciences 2021, 126(1), 175-199. https://doi.org/10.32604/cmes.2021.012218
Received 20 June 2020; Accepted 10 September 2020; Issue published 22 December 2020
Abstract
The main aim of this paper is to propose a new memory dependent derivative (MDD) theory which called threetemperature nonlinear generalized anisotropic micropolar-thermoelasticity. The system of governing equations of
the problems associated with the proposed theory is extremely difficult or impossible to solve analytically due to
nonlinearity, MDD diffusion, multi-variable nature, multi-stage processing and anisotropic properties of the considered material. Therefore, we propose a novel boundary element method (BEM) formulation for modeling and
simulation of such system. The computational performance of the proposed technique has been investigated. The
numerical results illustrate the effects of time delays and kernel functions on the nonlinear three-temperature and
nonlinear displacement components. The numerical results also demonstrate the validity, efficiency and accuracy
of the proposed methodology. The findings and solutions of this study contribute to the further development of
industrial applications and devices typically include micropolar-thermoelastic materials.
Keywords
Cite This Article
APA Style
Fahmy, M.A. (2021). A novel BEM for modeling and simulation of 3T nonlinear generalized anisotropic micropolar-thermoelasticity theory with memory dependent derivative. Computer Modeling in Engineering & Sciences, 126(1), 175-199. https://doi.org/10.32604/cmes.2021.012218
Vancouver Style
Fahmy MA. A novel BEM for modeling and simulation of 3T nonlinear generalized anisotropic micropolar-thermoelasticity theory with memory dependent derivative. Comput Model Eng Sci. 2021;126(1):175-199 https://doi.org/10.32604/cmes.2021.012218
IEEE Style
M.A. Fahmy, "A Novel BEM for Modeling and Simulation of 3T Nonlinear Generalized Anisotropic Micropolar-Thermoelasticity Theory with Memory Dependent Derivative," Comput. Model. Eng. Sci., vol. 126, no. 1, pp. 175-199. 2021. https://doi.org/10.32604/cmes.2021.012218
Citations