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Stress constrained multi-material topology optimization with the ordered SIMP method
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DOI：10.1016/j.cma.2020.113453.png)
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Abstract
En 中文
To date, both the stress-related and multi-material topology optimization problems have been extensively studied. However, there are few works addressing the stress-constrained multi-material topology optimization (SMMTO) problem. Hence, a novel solution to the SMMTO problem is proposed in this paper based on the ordered SIMP method. To be specific, description of the multi-material elastic model is achieved with the ordered SIMP interpolation. More importantly, a novel ordered SIMPlike interpolation function is proposed to realize the relaxed and scaled stress interpolation, so that only a unique set of density variables are required for the SMMTO problem. Scaling of the stress measure plays a vital role in properly addressing the different yield limits. The global stress constraint is established with the p-norm function combined with the stability transformation method to close the gap between the p-norm stress and the exact maximum local stress. The adjoint sensitivity analysis is performed and the optimization problem is solved using a MMA optimizer. Several benchmark numerical examples are investigated and discussed to illustrate the effectiveness of the proposed approach. (C) 2020 Elsevier B.V. All rights reserved.
Keywords:
Stress constraint
Multi-material topology optimization
Ordered SIMP interpolation
P-norm stress measure
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