Thermoelectroelastic shock waves in piezoelastic media: An enriched finite element solution based on generalized piezothermoelasticity

Abstract

An enriched finite element formulation based on generalized piezothermoelasticity is presented for accurate solution of thermoelectromechanical shock wave propagation problems in piezoelectric continua. The conventional Lagrangian interpolations are enriched with sinusoidal wave packets in the element domain. The coupled multifield finite element equations, derived using the extended Hamilton’s principle, are solved using direct time integration. The results show that the sharp jumps occurring at the wavefronts in the distributions of field variables are predicted accurately by the proposed finite element with a static uniform mesh, overcoming the problem of large spurious undulations in conventional finite element solutions at these wavefronts.