Finite element model for a coupled thermo-mechanical system in nonlinear strain-limiting thermoelastic body

We investigate a specific finite element model to study the thermoelastic behavior of an elastic body within context nonlinear strain-limiting constitutive relation. As special subclass implicit relations, response our interest is such that stresses can be arbitrarily large, but strains remain small, especially in neighborhood crack-tips. Thus, proposed inherently consistent with assumption small strain theory. In present communication, we consider two-dimensional coupled system-linear and quasilinear partial differential equations for temperature displacements, respectively. Two distinct distributions Dirichlet type are considered boundary condition, standard method continuous Galerkin employed obtain numerical solutions field variables. For domain edge-crack, find near-tip growth much slower than stress, which salient feature compared inconsistent results classical linearized description body. Current provide theoretical computational framework develop physically meaningful models examine other multi-physics as evolution complex network cracks induced by thermal shocks.