Two- and three-dimensional transient thermoelastic analysis by BEM via particular integrals

Particular integral formulations are presented for two- and three-dimensional transient uncoupled thermoelastic analysis. These formulations differ from previous particular integral formulations in that the equation of uncoupled thermoelasticity including the heat conduction equation is fully satisfied to obtain particular integrals. The equation of the steady-state thermoelasticity is now used as the complementary solution and two global shape functions are considered to approximate the transient term of the heat conduction equation so that two sets of particular integrals could be derived. The numerical results for both sets of particular integrals are given for three example problems and compared with their analytical solutions.