Mixed method and convex optimization for limit analysis of homogeneous Gurson materials: a kinematical approach

DOI10.1016/j.euromechsol.2008.02.008zbMath1155.74386OpenAlexW2047292243MaRDI QIDQ1005337

Malorie Trillat, Etienne Loute, Joseph Pastor, Franck Pastor

Publication date: 9 March 2009

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2008.02.008

zbMATH Keywords

convex optimizationlimit analysismixed approachGurson materialkinematical methodquadratic velocities

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Plastic materials, materials of stress-rate and internal-variable type (74C99) Compliance or weight optimization in solid mechanics (74P05)

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Cites Work

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• Finite element limit analysis using linear programming
• Limit analysis and Gurson's model
• Lectures on Modern Convex Optimization
• A new discontinuous upper bound limit analysis formulation
• A general non-linear optimization algorithm for lower bound limit analysis
• Upper bound limit analysis using simplex strain elements and second-order cone programming
• Solving limit analysis problems: an interior-point method

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