A Computerized Boundary Element Algorithm for Modeling and Optimization of Complex Magneto-Thermoelastic Problems in MFGA Structures

Mohamed Abdelsabour Fahmy; Saleh M. Al-Harbi; Badr Hamedy Al-Harbi; Alanod M. Sibih

Mohamed Abdelsabour Fahmy Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah, Saudi Arabia andDepartment of Basic Sciences, Faculty of Computers and Informatics, Suez Canal University, Ismailia, Egypt.
Saleh M. Al-Harbi Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah, Saudi Arabia.
Badr Hamedy Al-Harbi Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah, Saudi Arabia.
Alanod M. Sibih Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah, Saudi Arabia.

Keywords: Predictor-corrector, shape optimization, magneto-thermoelasticity, functionally graded anisotropic structures, dual reciprocity boundary element method

Abstract

Aims: The aim of this article is to propose a boundary integral equation algorithm for modeling and optimization of magneto-thermoelastic problems in multilayered functionally graded anisotropic (MFGA) structures.
Study Design: Original research paper.
Place and duration of Study: Jamoum laboratory, January 2018.
Methodology: a new dual reciprocity boundary element algorithm was implemented for solving the governing equations of magneto-thermoelastic problems in MFGA structures.
Results: A numerical results demonstrate validity, accuracy, and efficiency of the presented technique.
Conclusion: Our results thus confirm the validity, accuracy, and efficiency of the proposed technique. It is noted that the obtained dual reciprocity boundary element method (DRBEM) results are more accurate than the FEM results, the DRBEM is more efficient and easy to use than FEM because it only needs the boundary of the domain needs to be discretized.