Analytical aspects in boundary integral equation formulation for the generalized linear micropolar thermoelasticity

A formulation of the boundary integral equation method for generalized linear micropolar thermoelasticity is given. Fundamental solutions, in Laplace transform domain, of the corresponding differential equations are obtained. The initial, mixed boundary value problem is considered as an example illustrating the BIE formulation. The results are applicable to the generalized thermoelasticity theories: Lord–Shulman with one relaxation time, Green–Lindsay with two relaxation times, Green–Naghdi, theory of type II without energy dissipation, Green–Naghdi, theory of type III and Chandrasekharaiah and Tzou theory with dual-phase lag, as well as to the dynamic coupled theory.