In the framework of level-set method we propose a topology optimization algorithm for linear elastic structures which can exhibit fractures. spirit Griffith theory, brittle fracture is modeled by Francfort-Marigo energy model, with its Ambrosio-Tortorelli regularization, also be viewed as gradient damage model. This quasi-static and irreversible model approximated using penalization to make it ...

The purpose of this paper is to fill the gap between the classical treatment of brittle fracture mechanics and the new idea of considering the crack evolution as a free discontinuity problem. Griffith and Irwin crite-rions of crack propagation are studied and transformed in order to be no longer dependent on any prescription of the geometry of the crack during its evolution. The inequality cont...