On the solution of a minimum weight elastoplastic problem involving displacement and complementarity constraints

DOI10.1016/S0045-7825(98)00280-1zbMath0948.74043OpenAlexW2060758199WikidataQ127206906 ScholiaQ127206906MaRDI QIDQ1965225

Michael C. Ferris, Francis Tin-Loi

Publication date: 1999

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(98)00280-1

zbMATH Keywords

complementarity conditionsmathematical programs with equilibrium constraintsminimum weight designconstraints on displacementsdiscretized structuresholonomic plasticitytruss-like structures

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Compliance or weight optimization in solid mechanics (74P05)

Related Items

Mathematical programming approaches for the safety assessment of semirigid elastoplastic frames, Review of formulations for structural and mechanical system optimization, Complementarity problems in structural engineering: an overview, Nonholonomic elastoplastic analysis involving unilateral frictionless contact as a mixed complementarity problem, Parameter identification of quasibrittle materials as a mathematical program with equilibrium constraints, Robust assessment of collapse resistance of structures under uncertain loads based on info-gap model, MPEC Methods for Bilevel Optimization Problems, Identification of cohesive crack fracture parameters by evolutionary search., Elastoplastic truss design using a displacement based optimization

Uses Software

• CONOPT
• GAMS
• MINOS
• PATH Solver

Cites Work

• On compatible finite element models for elastic plastic analysis
• Optimum design of plastic structures under displacement constraints
• The explicit inverse of the stiffness matrix
• Combined elastoplastic and limit analysis via restricted basis linear programming
• A GAMS model for the plastic limit analysis of plane frames
• New models for optimal truss topology in limit design based on unified elastic/plastic analysis
• Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints
• A matrix structural theory of piecewise linear elastoplasticity with interacting yield planes
• On some recent engineering applications of complementarity problems
• CONOPT—A Large-Scale GRG Code
• Linear-Quadratic Programming and Optimal Control
• Elements of structural optimization.
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