The Local Conditions of Uniqueness and Plastic Strain Localization Part II: Comparison of the Local Uniqueness Condition with the Rice-Rudnicki Local Plastic Strain Localization

DOI10.1177/1081286510362408zbMath1269.74031OpenAlexW2144370450MaRDI QIDQ2842382

J. Pająk, Zdzisław Śloderbach

Publication date: 14 August 2013

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286510362408

zbMATH Keywords

constitutive equationslocal uniqueness conditionpotential and function of plasticitylocalization of plastic deformationplane of localization

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Cites Work

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• A general theory of uniqueness and stability in elastic-plastic solids
• On constitutive inequalities and bifurcation in elastic-plastic solids with a yield-surface vertex
• Bounds to bifurcation stresses in solids with non-associated plastic flow law at finite strain
• The localization of plastic deformation in thermoplastic solids
• Incremental boundary value problems in the presence of coupling of elastic and plastic deformations: A rock mechanics oriented theory
• Coupling of elastic and plastic deformations of bulk solids
• Instability phenomena and adiabatic shear band localization in termoplastic flow processes
• A minimum principle for incremental elastoplasticity with non-associated flow laws
• On the thermodynamic foundations of non-linear solid mechanics

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