Abstract
In this paper, we introduce a new theory called nonlinear generalized micropolar-magneto-thermoelasticity involving three temperatures. Because of strong nonlinearity of wave propagation of functionally graded anisotropic (FGA) structures problems associated with this theory, the analytical or numerical solutions for problems associated with this theory are always difficult and require the development of new numerical techniques. So, we propose a new boundary element technique for the solution of such problems. The numerical results are depicted graphically to show the effect of magnetic field and confirm the validity and accuracy of our proposed technique.