Abstract
The main aim of this article is to introduce a new fractional-order theory called nonlinear generalized piezothermoelasticity involving three temperatures. Because of strong nonlinearity, it is very difficult to solve the problems related to this theory analytically. Therefore, we propose a new boundary element model for simulation and optimization of fractional-order three temperatures nonlinear generalized piezothermoelastic structures problems associated with this theory. The genetic algorithm (GA) was implemented based on free form deformation (FFD) technique and nonuniform rational B-spline curve (NURBS) as an optimization technique for the considered problems. The numerical results demonstrate the validity and accuracy of our proposed model.