A novel space–time generalized FDM for dynamic coupled thermoelasticity problems in heterogeneous plates

A novel space–time generalized finite difference method based on the direct space–time discretization technique is developed for solving dynamic coupled thermoelasticity problems. By considering the time scale as an additional space dimension, the spatial and temporal domains are simultaneously discretized. In our numerical implementation, the velocity is introduced as an additional unknown field quantity for dealing with the inertia item appearing in elastodynamic equations. Some dynamic coupled thermoelasticity problems in homogeneous or heterogeneous plates under different loading cases are numerically analyzed by this method. The accuracy of the present method is verified by comparison with analytical solutions or other numerical results.