The concept of Representative Crack Elements (RCE) for phase-field fracture: transient thermo-mechanics

Abstract The phase-field formulation for fracture based on the framework of representative crack elements is extended to transient thermo-mechanics. finite element derived starting from variational principle total virtual power. intention this manuscript demonstrate potential multi-physical models and complex processes inside crack. present model at hand allows predict realistic deformation kinematics heat fluxes cracks. At application fully coupled, thermo-elasticity a pre-cracked plate, opened yields thermal isolation between both parts plate. Inhomogeneous strains result in curved surface, inhomogeneous recontact finally flow through regions contact. novel further study crack, which demonstrated by radiation surfaces. Finally, numerically calculated paths disc subjected shock load are compared experimental results literature three-dimensional presented.