Nonlinear generalized thermoelasticity: theory and application

Abstract In this work, the hypothesis of nonlinear thermoelasticity has been arranged for anisotropic thermoelastic materials to analyze the thermal effect caused by mechanical deformation. The stress–strain equation to be nonlinear form is more important than the non-linearity in the geometrical structure. A common and fundamental formalization of the energy equilibrium to enclose the execution has been revolved. The governing equations of the nonlinear thermoelasticity model with one relaxation time have been constructed and solved for an isotropic one-dimensional thermoelastic and homogeneous half-space. This new model nonlinear thermoelasticity with one relaxation time generates thermal and mechanical waves propagating with finite speeds.