Modelling of Generalised Thermoelastic Wave Propagation of Multilayer Material under Thermal Shock Behaviour

This paper describes a time-discontinuous Galerkin finite element method (DGFEM-βc) for the generalised thermoelastic problem of multilayer materials subjected to a transient high-frequency heat source. The governing and constitutive relations are presented on the basis of the well-known Lord–Shulman (L–S) theory. A DGFEM-βc method is developed to allow the general temperature-displacement vector and its temporal gradient to be discontinuous at a fixed time t. A stiffness proportional artificial damping term is added to the final DG discretisation form to filter out the spurious numerical oscillations in the wave-after stage and at adjacent-layer interfaces. The numerical results show that the present DGFEM-βc provides much more accurate solutions for generalised thermoelastic coupled behaviour of multilayer structures. Compared with widely used traditional numerical methods (e.g., the Newmark method), the present DGFEM-βc can effectively capture the discontinuities behaviours of impulsive waves in space in the simulation of high modes and sharp gradients.