Martina Hofacker

TL;DR: In this paper, a variational framework for rate-independent diffusive fracture was proposed based on the introduction of a local history field, which contains a maximum reference energy obtained in the deformation history, which may be considered as a measure for the maximum tensile strain obtained in history.

TL;DR: In this article, a thermodynamically consistent framework for phase-field models of crack propagation in elastic solids, developed incremental variational principles and considering their numerical implementations by multi-field finite element methods is presented.

TL;DR: In this paper, a thermodynamically consistent framework for phase field models of crack propagation in elastic solids, developed incremental variational principles and considered their numerical implementations by multi- field finite element methods.

TL;DR: In this article, a generalization of recently developed continuum phase field models from brittle to ductile fracture coupled with thermo-plasticity at finite strains is presented, which uses a geometric approach to the diffusive crack modeling based on the introduction of a balance equation for a regularized crack surface.

TL;DR: In this article, the authors propose a computational framework for diffusive fracture for dynamic problems that allows the simulation of complex evolving crack topologies based on the introduction of a local history field that contains a maximum reference energy obtained in the deformation history.