A LEVEL SET METHOD FOR STRUCTURAL TOPOLOGY OPTIMIZATION WITH MULTI-CONSTRAINTS AND MULTI-MATERIALS

Combining the vector level set model,the shape sensitivity analysis theory with thegradient projection technique,a level set method for topology optimization with multi-constraints andmulti-materials is presented in this paper.The method implicitly describes structural material in-terfaces by the vector level set and achieves the optimal shape and topology through the continuousevolution of the material interfaces in the structure.In order to increase computational efficiency for afast convergence,an appropriate nonlinear speed mapping is established in the tangential space of theactive constraints.Meanwhile,in order to overcome the numerical instability of general topology opti-mization problems,the regularization with the mean curvature flow is utilized to maintain the interfacesmoothness during the optimization process.The numerical examples demonstrate that the approachpossesses a good flexibility in handling topological changes and gives an interface representation in ahigh fidelity,compared with other methods based on explicit boundary variations in the literature.