A level set method for structural topology optimization with multi-constraints and multi-materials |
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Authors: | Mei Yulin Wang Xiaoming |
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Institution: | (1) Mechanical Engineering Department, Dalian University of Technology, 116024 Dalian, China |
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Abstract: | Combining the vector level set model, the shape sensitivity analysis theory with the gradient projection technique, a level
set method for topology optimization with multi-constraints and multi-materials is presented in this paper. The method implicitly
describes structural material interfaces by the vector level set and achieves the optimal shape and topology through the continuous
evolution of the material interfaces in the structure. In order to increase computational efficiency for a fast convergence,
an appropriate nonlinear speed mapping is established in the tangential space of the active constraints. Meanwhile, in order
to overcome the numerical instability of general topology optimization problems, the regularization with the mean curvature
flow is utilized to maintain the interface smoothness during the optimization process. The numerical examples demonstrate
that the approach possesses a good flexibility in handling topological changes and gives an interface representation in a
high fidelity, compared with other methods based on explicit boundary variations in the literature.
The project supported by the National Natural Science Foundation of China (59805001, 10332010) and Key Science and Technology
Research Project of Ministry of Education of China (No.104060) |
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Keywords: | level set method topology optimization multi-constraints multi-materials mean curvature flow |
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