An elastoplastic topology optimization framework for limiting plastic work generation while maximizing stiffness is presented. The kinematics and constitutive model are based on finite strain linear isotropic hardening plasticity, and the balance laws are solved using a total Lagrangian finite element formulation. Aggregation of the specific plastic work combined with an adaptive normalization scheme efficiently constrains the maximum specific plastic work. The optimization problem is regularized using an augmented partial differential equation filter, and is solved by the method of moving asymptotes where path-dependent sensitivities are derived using the adjoint method. The numerical examples show a clear dependence on the optimized maximum stiffness structures for different levels of constrained specific plastic work. It is also shown that due to the history dependency of the plasticity, the load path significantly influences the structural performance and optimized topology.

中文翻译：

---

塑性功约束弹塑性拓扑优化

提出了一种弹塑性拓扑优化框架，用于在最大化刚度的同时限制塑性功的产生。运动学和本构模型基于有限应变线性各向同性硬化塑性，平衡定律使用总拉格朗日有限元公式求解。特定塑性功的聚合结合自适应归一化方案有效地限制了最大特定塑性功。优化问题使用增广偏微分方程滤波器进行正则化，并通过移动渐近线的方法求解，其中使用伴随方法导出与路径相关的灵敏度。数值示例表明，对于不同水平的受限特定塑性功，优化的最大刚度结构具有明显的依赖性。