A Port-Hamiltonian formulation of linear thermoelasticity and its mixed finite element discretization

A port-Hamiltonian formulation for general linear coupled thermoelasticity and the thermoelastic bending of thin structures is presented. The construction exploits intrinsic modularity systems to obtain a as an interconnection elastodynamics heat equations. derived model can be readily discretized by using mixed finite elements. discretization structure-preserving, since main features system are retained at discrete level. proposed strategy validated against benchmark problem thermoelasticity, Danilovskaya problem.