Title of Paper:A level set method for microstructure design of composite materials
Indexed by:期刊论文
Date of Publication:2021-03-23
Journal:ACTA MECHANICA SOLIDA SINICA
Volume:17
Issue:3
Page Number:239-250
ISSN No.:0894-9166
Key Words:level set method; homogenization; gradient projection; microstructures
design
Abstract:Based on a level set model and the homogenization theory, an optimization algorithm for finding the optimal configuration of the microstructure with specified properties is proposed, which extends current research on the level set method for structure topology optimization. The method proposed employs a level set model to implicitly describe the material interfaces of the microstructure and a Hamilton-Jacobi equation to continuously evolve the material interfaces until an optimal design is achieved. Meanwhile, the moving velocities of level set are obtained by conducting sensitivity analysis and gradient projection. Besides, how to handle the violated constraints is also discussed in the level set method for topological optimization, and a return-mapping algorithm is constructed. Numerical examples show that the method exhibits outstanding flexibility of handling topological changes and fidelity of material interface representation as compared with other conventional methods in literatures.
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