On constitutive inequalities and bifurcation in elastic-plastic solids with a yield-surface vertex

DOI10.1016/0022-5096(89)90012-4zbMath0668.73004OpenAlexW2065414131MaRDI QIDQ1118434

H. Petryk

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-5096(89)90012-4

zbMATH Keywords

finite strainlinearizationpolycrystalline metalsnonlinear constitutive rate equationsregular deformation pathtime-independent elastic-plastic modelsyield-surface vertex

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Theory of constitutive functions in solid mechanics (74A20) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (11)

Generalized Coupled Thermoplasticity Taking into Account Large Strains: Part I. Conditions of Uniqueness of the Solution of Boundary-Value Problem and Bifurcation Criteria ⋮ formulation of models for extended crystal plasticity at large deformation ⋮ The directional instability problem in systems with frictional contacts. ⋮ On uniqueness for frictional contact rate problems ⋮ Analysis of stability and bifurcation in nonlinear mechanics with dissipation ⋮ Material instability and strain-rate discontinuities in incrementally nonlinear continua ⋮ Macroscopic effects of micro-shear banding in plasticity of metals ⋮ General conditions for uniqueness in materials with multiple mechanisms of inelastic deformation ⋮ The Local Conditions of Uniqueness and Plastic Strain Localization Part I: Determination of the Critical Hardening Moduli for Some Elastoplastic Materials ⋮ 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 ⋮ On thermodynamic- and variational-based formulations of models for inelastic continua with internal lengthscales

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