A formulation for Gurson's criterion in limit analysis

Athanasios Makrodimopoulos

doi:10.1016/j.mechrescom.2021.103738

A formulation for Gurson's criterion in limit analysis

Athanasios Makrodimopoulos

Department of Civil Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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
Article number	103738
Journal	Mechanics Research Communications
Volume	115
DOIs	https://doi.org/10.1016/j.mechrescom.2021.103738
Publication status	Published - Jul 2021

Keywords

Conic optimization
Exponential cone
Gurson's criterion
Limit analysis

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10.1016/j.mechrescom.2021.103738

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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.",

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AB - 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.

KW - Conic optimization

KW - Exponential cone

KW - Gurson's criterion

KW - Limit analysis

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DO - 10.1016/j.mechrescom.2021.103738

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JO - Mechanics Research Communications

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A formulation for Gurson's criterion in limit analysis

Abstract

Keywords

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