Abstract
Gurson's criterion is widely used in modeling the failure of ductile materials with spherical and cylindrical cavities. A major drawback in terms of numerical treatment in limit analysis is that it contains exponential terms, and thus, the use of second-order cone programming is either not possible or not as straightforward as with other popular yield criteria. This paper presents a formulation of conic optimization with both quadratic and exponential cones, a promising recent development in mathematical programming. Numerical applications in plane strain confirm the efficiency of this approach.
Original language | English |
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Article number | 103738 |
Journal | Mechanics Research Communications |
Volume | 115 |
DOIs | |
Publication status | Published - Jul 2021 |
Keywords
- Conic optimization
- Exponential cone
- Gurson's criterion
- Limit analysis