Shakedown analysis: comparison between models with the linear unlimited, linear limited and non linear kinematic hardening

DOI10.1016/j.mechrescom.2009.02.007zbMath1258.74022OpenAlexW1997542059MaRDI QIDQ1939916

Jean-Bernard Tritsch, Céline Bouby, Gery De Saxce

Publication date: 5 March 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mechrescom.2009.02.007

zbMATH Keywords

hardeningbipotentialshakedowngeneralized standard materialimplicit standard material

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05)

Related Items (8)

A class of non-associated materials: \(n\)-monotone materials -- Hooke's law of elasticity revisited ⋮ A bipotential-based limit analysis and homogenization of ductile porous materials with non-associated Drucker-Prager matrix ⋮ A comparative analysis of two formulations for non linear hardening plasticity models: application to shakedown analysis ⋮ A selective strategy for shakedown analysis of engineering structures ⋮ A homogenized macroscopic criterion for shakedown analysis of ductile porous media with kinematical hardening matrix ⋮ Performance of the MLPG method for static shakedown analysis for bounded kinematic hardening structures ⋮ A direct approach to the evaluation of structural shakedown limit considering limited kinematic hardening and non-isothermal effect ⋮ New variational principles for solving extended Dirichlet-Neumann problems

Cites Work

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• Inelastic behaviour of structures under variable repeated loads. Direct analysis methods. Lectures of the CISM-Course, Udine, October, 2000
• A dual form for discretized kinematic formulation in shakedown analysis
• On shakedown analysis in hardening plasticity.
• A kinematic elastic nonshakedown theorem for implicit standard materials
• A new approach to shakedown analysis for non-standard elastoplastic material by the bipotential.
• A comparison between analytical calculations of the shakedown load by the bipotential approach and step-by-step computations for elastoplastic materials with nonlinear kinematic hardening
• Mechanics of Solid Materials
• On Conjugate Convex Functions
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