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

Pengfei Li (1, 2) , Yi Wu (1, 3, 2) , Julien Yvonnet (1, 2)

1 Université Gustave Eiffel
2 MSME - Laboratoire Modélisation et Simulation Multi-Echelle
3 HNU - Hunan University [Changsha]

We 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.

Mots clés: Fracture resistance; Topology optimization; SIMP; Phase field method; two-material structures; 3D applications

Domaines: Sciences de l'ingénieur [physics]

Pengfei Li, Yi Wu, Julien Yvonnet. A SIMP-Phase field topology optimization framework to maximize quasi-brittle fracture resistance of 2D and 3D composites. Theoretical and Applied Fracture Mechanics, 2021, 114, pp.102919. ⟨10.1016/j.tafmec.2021.102919⟩. ⟨hal-03225114⟩