Computer Implementation of the DRBEM for Studying the Generalized Thermo Elastic Responses of Functionally Graded Anisotropic Rotating Plates with Two Relaxation Times
M. A. Fahmy *
Mathematics Department, University College, Umm Al-Qura University, Makkah, Saudi Arabia and Faculty of Computers and Informatics, Suez Canal University, Ismailia, Egypt.
A. M. Salem
Faculty of Computers and Informatics, Suez Canal University, Ismailia, Egypt.
M. S. Metwally
Faculty of Science, Suez University, Suez, Egypt.
M. M. Rashid
Faculty of Science, Suez University, Suez, Egypt.
*Author to whom correspondence should be addressed.
Abstract
A numerical computer model based on the dual reciprocity boundary element method (DRBEM) is extended to study the generalized thermo elastic responses of functionally graded anisotropic rotating plates. In the case of plane deformation, a predictor-corrector implicit-explicit time integration algorithm was developed and implemented for use with the DRBEM to obtain the solution for the displacement and temperature fields in the context of the Green and Lindsay theory. Numerical results that demonstrate the validity of the proposed method are also presented in the tables.
Keywords: Thermo elasticity, rotation, functionally graded material, anisotropic, dual reciprocity boundary element method.