A boundary element formulation with equilibrium satisfaction for thermo-mechanical problems considering transient and non-linear aspects

Boundary element formulations incorporating consistent transient potential theory, satisfying exact energy balance, and dynamic equilibrium satisfaction with respect to the co-ordinate axis directions and moments, including inertial forces, elastoplastic deformations and thermal loadings, are presented. The procedures are quite general and can be implemented into existing boundary element codes. The required expressions for the transient potential analysis and the dynamic formulation are discussed, and we include two examples that take into account linear and non-linear material behaviour to illustrate the potential of the proposed methodology.