Topology optimization of multi-material structures with elastoplastic strain hardening model

Li, Mengxiao; Deng, Yu; Zhang, Hexin; Wong, Simon H. F.; Mohamed, Ahmed; Zheng, Yu; Gao, Jiaxiang; Yuen, Terry Y. P.; Dong, Biqin; Kuang, J. S.

Abstract

The paper presents a new multi-material topology optimization method with novel adjoint sensitivity analysis that can accommodate not only multiple plasticity but also multiple hardening models for individual materials in composite structures. Based on the proposed method, an integrated framework is developed which details the nonlinear finite element analysis, sensitivity analysis and optimization procedure. The proposed method and framework are implemented and illustrated by three numerical examples presented in this paper. In-depth analysis of the numerical results has revealed the significant impact of the selection of plasticity and hardening model on the results of topology.

Citation

Li, M., Deng, Y., Zhang, H., Wong, S. H. F., Mohamed, A., Zheng, Y., Gao, J., Yuen, T. Y. P., Dong, B., & Kuang, J. S. (2021). Topology optimization of multi-material structures with elastoplastic strain hardening model. Structural and Multidisciplinary Optimization, 64, 1141-1160. https://doi.org/10.1007/s00158-021-02905-3

• Journal Article Type: Article
• Acceptance Date: Mar 13, 2021
• Online Publication Date: Apr 14, 2021
• Publication Date: 2021-09
• Deposit Date: Mar 27, 2021
• Publicly Available Date: Apr 14, 2021
• Journal: Structural and Multidisciplinary Optimization
• Print ISSN: 1615-147X
• Electronic ISSN: 1615-1488
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 64
• Pages: 1141-1160
• DOI: https://doi.org/10.1007/s00158-021-02905-3
• Keywords: Multi-material topology optimization, Elastoplastic yield criterion, Strain hardening model, Sensitivity analysis
• Public URL: http://researchrepository.napier.ac.uk/Output/2756251