The paper presents a new multi-material topology optimization method with a 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. An 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.

本文提出了一种新的多材料拓扑优化方法，该方法具有新颖的伴随灵敏度分析，不仅可以适应复合结构中单个材料的多种可塑性，而且可以适应多种硬化模型。在此方法的基础上，建立了一个集成框架，详细介绍了非线性有限元分析，灵敏度分析和优化程序。本文提出的三个数值示例对所提出的方法和框架进行了实现和说明。对数值结果的深入分析表明，选择可塑性和硬化模型对拓扑结果具有重大影响。