Convex optimization and limit analysis: Application to Gurson and porous Drucker–Prager materials
✍ Scribed by F. Pastor; Ph. Thoré; E. Loute; J. Pastor; M. Trillat
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 514 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0013-7944
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✦ Synopsis
First, we summarize our convex optimization method to solve the static approach of limit analysis. Then, we present the main features of a quadratic extension of a recently proposed mixed finite element method of the kinematic approach. Both methods are applied to obtain precise solutions to a forming problem with Gurson and Drucker-Prager materials. Finally, in order to analyze the criterion of ''Porous Drucker-Prager'' materials, the Gurson micro-macro model involving a Drucker-Prager matrix containing cylindrical cavities is investigated. Comparing previous results shows, among other things, a similarity in the compression case not always observed for the ''Porous von Mises'' material between cylindrical and spherical cases.