Ellipsoidal load‐domain shakedown analysis with von Mises yield criterion: A robust optimization approach |
| |
| Authors: | Takashi Yamaguchi Yoshihiro Kanno |
| |
| Affiliation: | 1. Department of Mathematical Informatics, University of Tokyo, Tokyo, Japan;2. Materials and Structures Laboratory, Tokyo Institute of Technology, Yokohama, Japan |
| |
| Abstract: | 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. |
| |
| Keywords: | shakedown analysis von Mises yield criterion semidefinite programming robust optimization interior‐point method |
|
|
