Efficient computation of multiple solutions in quasibrittle fracture analysis

DOI10.1016/S0045-7825(02)00645-XzbMath1031.74053OpenAlexW2049301501MaRDI QIDQ1402568

Paul Tseng, Francis Tin-Loi

Publication date: 28 August 2003

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(02)00645-x

zbMATH Keywords

mode Ilinear complementarity problemmultiplicity of solutionscomplementarity constraintsholonomic analysisquasibrittle fracture analysis

Mathematics Subject Classification ID

Brittle fracture (74R10) Multiplicity of solutions of equilibrium problems in solid mechanics (74G35)

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Uses Software

• GAMS
• PATH Solver

Cites Work

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• Cusp catastrophe interpretation of fracture instability
• An enumerative method for the solution of linear complementarity problems
• On multiplicity of solutions in quasi-brittle fracture computations
• The generalized linear complementarity problem and an algorithm to find all its solutions
• Numerical simulations of quasibrittle fracture processes using the discrete cohesive crack model
• On elastic-plastic structures with associated stress-strain relations allowing for work softening
• Incremental plastic analysis in the presence of large displacements and physical instabilizing effects
• Computing Normal Form Perfect Equilibria for Extensive Two-Person Games
• Parameter identification of quasibrittle materials as a mathematical program with equilibrium constraints

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