TOPOLOGY OPTIMIZATION FOR INCREMENTAL ELASTOPLASTICITY: A PHASE-FIELD APPROACH

被引：11
作者：
Almi, Stefano [1 ]
Stefanelli, Ulisse [1 ,2 ,3 ]
机构：
[1] Univ Vienna, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria
[2] Univ Vienna, Vienna Res Platform Accelerating Photoreact Disco, Wahringerstr 17, A-1090 Vienna, Austria
[3] Ist Matemat Applicata & Tecnol Informat E Magenes, Via Ferrata 1, I-27100 Pavia, Italy
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2021年 / 59卷 / 01期
关键词：
topology optimization; elastoplasticity; first-order conditions; QUASI-STATIC PLASTICITY; STRUCTURAL OPTIMIZATION; SHAPE OPTIMIZATION; THERMAL CONTROL; DESIGN; MODEL; HOMOGENIZATION;
D O I：
10.1137/20M1331275
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We discuss a topology optimization problem for an elastoplastic medium. The distribution of material in a region is optimized with respect to a given target functional taking into account compliance. The incremental elastoplastic problem serves as a state constraint. We prove that the topology optimization problem admits a solution. First-order optimality conditions are obtained by considering a regularized problem and passing to the limit.
引用
收藏
页码：339 / 364
页数：26
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