标题： 基于弹塑性的应力约束连续拓扑优化：一种新方法 显示英文标题

标题： Stress-constrained continuum topology optimization: a new approach based on elasto-plasticity

摘要： 一种用于生成连续体中受应力约束的拓扑设计的新方法被提出。 主要创新在于使用弹塑性建模，并优化设计使其表现出线弹性响应。 这是通过在等效塑性应变总和上施加一个全局约束来实现的，从而对所有局部应力违规进行精确控制。 该单一约束基本上取代了大量局部应力约束或它们的近似聚合——这是文献中两种常见的方法。 采用了一种经典的非率相关塑性模型，对其进行了解析伴随灵敏度分析并进行了验证。 几个示例展示了计算过程的能力，能够生成在获得的刚度-强度-重量权衡方面挑战文献结果的设计。 对优化设计进行全面的弹塑性分析表明，在初始屈服之前，这些设计能够承受比最小柔度拓扑布局显著更高的载荷，仅在刚度上做出很小的妥协。 显示英文摘要

摘要： A new approach for generating stress-constrained topological designs in continua is presented. The main novelty is in the use of elasto-plastic modeling and in optimizing the design such that it will exhibit a linear-elastic response. This is achieved by imposing a single global constraint on the total sum of equivalent plastic strains, providing accurate control over all local stress violations. The single constraint essentially replaces a large number of local stress constraints or an approximate aggregation of them--two common approaches in the literature. A classical rate-independent plasticity model is utilized, for which analytical adjoint sensitivity analysis is derived and verified. Several examples demonstrate the capability of the computational procedure to generate designs that challenge results from the literature, in terms of the obtained stiffness-strength-weight trade-offs. A full elasto-plastic analysis of the optimized designs shows that prior to the initial yielding, these designs can sustain significantly higher loads than minimum compliance topological layouts, with only a minor compromise on stiffness.