Phase‐field Fracture Based on Representative Crack Elements (RCE): Inelastic Materials, Friction, Finite Deformations, Multi‐physics

The concept of representative crack elements has been successfully introduced to phase-field fracture in previous publications, where anisotropic elasticity [1], visco-elasticity [2], elasto-plasticity and surface friction [3] are considered at small deformations. This framework allows overcome unrealistic predictions for the kinematics, reported e.g. Strobl Seelig [4], Steinke Kaliske [5], known from models with approximations closure behaviour based on volumetric-deviatoric, spectral or similar splits stress strain tensors. In current contribution method fracture, is shown finite deformations fully coupled thermo-mechanics. iterative solution scheme element variational homogenisation sketched. Applications elasto-plasticity, friction, thermo-mechanics heat radiation through demonstrate flexibility framework.