A formulation for Gurson's criterion in limit analysis

Athanasios Makrodimopoulos

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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 languageEnglish
Article number103738
JournalMechanics Research Communications
Publication statusPublished - Jul 2021


  • Conic optimization
  • Exponential cone
  • Gurson's criterion
  • Limit analysis

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