Studies in material parameter sensitivity of softening solids

DOI10.1016/S0045-7825(97)00351-4zbMath0946.74060OpenAlexW1999625205WikidataQ127293578 ScholiaQ127293578MaRDI QIDQ1808123

René de Borst, Miguel A. Gutiérrez

Publication date: 17 October 2000

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(97)00351-4

zbMATH Keywords

finite elementsuniaxial tension teststable equilibrium patharc-length constraintbiaxial tension testDuvaut-Lions viscoplastic materialimplicit return-mapping algorithmintegration of constitutive equationslocalization patternsmaterial parameter sensitivitysoftening solidsstandard elasto-plastic material

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05)

Cites Work

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• Nonlinear structural design sensitivity analysis for path dependent problems. I: General theory
• An incremental approach to the solution of snapping and buckling problems
• Constitutive parameter sensitivity in elasto-plasticity
• Studies in anisotropic plasticity with reference to the Hill criterion
• Viscoplasticity for instabilities due to strain softening and strain-rate softening

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