Solving limit analysis problems: an interior-point method

DOI10.1002/cnm.779zbMath1121.65329OpenAlexW2098177517MaRDI QIDQ5711833

Etienne Loute, Franck Pastor

Publication date: 8 December 2005

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.779

zbMATH Keywords

interior-point methodlimit analysisconvex programmingNewton methodMehrotra predictor-corrector algorithm

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Interior-point methods (90C51)

Related Items (11)

A unified mathematical programming formulation of strain driven and interior point algorithms for shakedown and limit analysis ⋮ A powerful force-based approach for the limit analysis of three-dimensional frames ⋮ 3D-FEM formulations of limit analysis methods for porous pressure-sensitive materials ⋮ Quadratic velocity-linear stress interpolations in limit analysis ⋮ Dynamic numerical simulations of void growth and coalescence with stress triaxiality maintained constant—Application to ductile solids with secondary voids ⋮ Limit analysis and convex programming: A decomposition approach of the kinematic mixed method ⋮ A pseudo-equilibrium finite element for limit analysis of Reissner-Mindlin plates ⋮ Application of the interior‐point method to shakedown analysis of pavements ⋮ Limit analysis decomposition and finite element mixed method ⋮ Mixed method and convex optimization for limit analysis of homogeneous Gurson materials: a kinematical approach ⋮ Large static problem in numerical limit analysis: A decomposition approach

Uses Software

• UMFPACK

Cites Work

• Yield criteria for porous media in plane strain: second-order estimates versus numerical results
• Ductile failure of cylindrically porous materials. II: Other cases of symmetry
• Lectures on Modern Convex Optimization
• A general non-linear optimization algorithm for lower bound limit analysis
• On Polyhedral Approximations of the Second-Order Cone
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