Boundary Integral Equation Modeling of 2D Functionally Graded Anisotropic Structures

Abstract

Aims: The main purpose of this paper is to present a boundary integral equation modeling to obtain the solution for the problems of magneto-thermoelastic functionally graded anisotropic (FGA) structures in the context of the Green and Naghdi theory of type III. Study Design: Practical shape optimisation technique. Place and Duration of Study: Jamoum laboratory, June 2017. Methodology: A new practical shape optimisation technique based on a predictor-corrector implicit-implicit staggered algorithm, which was implemented for use with the time-stepping dual reciprocity boundary element method (DRBEM) to obtain the final coupled linear system of equations for temperature and displacements that describe the magneto-thermoelastic structural analysis problem of functionally graded anisotropic (FGA) structures in the context of the Green and Naghdi theory of type III. Results: A numerical results demonstrate validity, accuracy, and efficiency of the presented technique. Conclusion: Our results thus confirm that our technique is efficient and precise. It is noted that the obtained 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 discretised. The results of DRBEM at any point are more precise, because DRBEM's integration operation is smoother than FEM's differentiation operation. Also from this knowledge of the variation of the displacements and temperature sensitivities with time for multilayered FGA structures, we can design various structures to meet specific engineering requirements and utilise within which to place new information can be more effective.