A SIMP-Phase field topology optimization framework to maximize quasi-brittle fracture resistance of 2D and 3D composites

International audienceWe investigate the use of combining SIMP topology optimization and phase field method to fracture for maximizing the fracture resistance of a structure composed of two materials. The optimization problem is formulated with respect to maximizing the external work under the constraint of inclusion volume fraction. The performance and convergence of the proposed algorithm are investigated. It is shown that the fracture resistance can be improved as compared to several guess designs with the same volume fraction of reinforcement (inclusion material). A comparison between the present SIMP and BESO methods is performed, showing a better convergence of the SIMP method, more specifically when a homogeneous initial guess design is used. Applications to 2D and 3D composite structure are presented to show the potential and robustness of the approach