Shape optimization of elasto-plastic structures and continua
Shape optimization of elasto-plastic structures and continua
复制标题
弹塑性结构和连续体的形状优化
DOI：
10.1016/s0045-7825(99)00134-6
复制
发表时间：
2000
影响因子：
7.2
通讯作者：
J. Whiteman
中科院分区：
文献类型：
--
作者：
E. Rohan;J. Whiteman
本文研究了各向同性应变硬化时弹塑性体的灵敏度分析和优化问题。材料的弹塑性行为由非线性互补问题控制。离散化后的进化状态问题，与最优形状问题，制定为一系列的非光滑方程和一般形式的最优设计问题的处理，通过使用非光滑的方法。基于伴随变量技术的灵敏度分析推导了一个历史相关的问题。作为应用，求解了弹塑性桁架结构和弹塑性连续体的优化设计问题。
This article is concerned with the sensitivity analysis and optimization of elasto-plastic bodies when isotropic strain hardening takes place. The elasto-plastic behaviour of the material is governed by a nonlinear complementarity problem. After discretization the evolutionary state problem, associated with the optimal shape problem, is formulated as a sequence of nonsmooth equations and a general form of the optimal design problem is treated by using a nonsmooth approach. The sensitivity analysis based on the adjoint-variable technique is derived for a history-dependent problem. As applications optimal design problems are solved for an elasto-plastic truss structure and for an elasto-plastic continuum.