Ellipsoidal load-domain shakedown analysis with von Mises yield criterion: a robust optimization approach
Ellipsoidal load-domain shakedown analysis with von Mises yield criterion: a robust optimization approach
复制标题
使用 von Mises 屈服准则进行椭圆体载荷域安定分析：一种稳健的优化方法
DOI：
10.1002/nme.5206
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发表时间：
2016
影响因子：
2.9
通讯作者：
T. Yamaguchi and Y. Kanno
中科院分区：
文献类型：
--
作者：
Y. Kanno;I. Takewaki;Y. Kanno;Y. Kanno;T. Yamaguchi and Y. Kanno
基于Melan下界定理的弹性安定分析的静态公式，本质上可以看作是一个鲁棒优化问题。本文讨论了采用这种观点所享有的优势。具体地说，我们假设von Mises屈服准则和椭球载荷域。在这种情况下，被视为鲁棒二阶锥规划的安定分析问题可以转化为半定规划。版权所有©2016 John Wiley & Sons， Ltd。
The static formulation of elastic shakedown analysis, based upon Melan's lower‐bound theorem, can essentially be viewed as a robust optimization problem. This paper discusses an advantage that is enjoyed by taking this perspective. Specifically, we assume the von Mises yield criterion and an ellipsoidal load domain. In this setting, the shakedown analysis problem, which is viewed as robust second‐order cone programming, can be recast as semidefinite programming. Copyright © 2016 John Wiley & Sons, Ltd.