Generalized Magneto-Thermo-Viscoelastic Problems of Rotating Functionally Graded Anisotropic Plates by the Dual Reciprocity Boundary Element Method

Abstract

A numerical model based on the dual reciprocity boundary element method (DRBEM) is extended to study the generalized theories of magneto-thermo-viscoelasticity in a rotating plate of functionally graded material (FGM). The material properties of the FGM plate have a gradient in the thickness direction. and are anisotropic in the plane of the plate. In the case of plane deformation, an implicit-implicit staggered scheme was proposed and implemented for use with the DRBEM to obtain the solution for the displacement and temperature fields. A comparison of the results for different theories of magneto-thermo-viscoelasticity is presented graphically. Numerical results that demonstrate the validity of the proposed method are also presented graphically.

Keywords:

• Anisotropic
• Dual reciprocity boundary element method
• Functionally graded material
• Generalized magneto-thermo-viscoelasticity
• Rotation

Acknowledgments

The author is grateful to Professor Dr. A. M. El-Naggar, Professor of Applied Mathematics, Faculty of Science, Banha University, Banha, Egypt, Professor Dr. F. S. Ibrahim, Professor of Applied Mathematics, Faculty of Science, Assiut University, Assiut, Egypt and Professor Dr. M. Elsayed Waheed, Dean of Faculty of Computers and Informatics, Suez Canal University, Ismailia, Egypt for their kind encouragement during this work.