On the kinematics of finite-deformation plasticity

DOI10.1007/BF01174643zbMath0624.73047MaRDI QIDQ579015

George C. Johnson, Douglas J. Bammann

Publication date: 1987

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

elasticmultiplicative decompositiondeformation gradientpolar decompositionseparatearbitrary material symmetryplastic componentsstress-free configuration

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) 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 (8)

A model for finite-deformation plasticity ⋮ A viscoplastic formulation with elasticity for transient metal forming ⋮ Incompressible inelasticity as an essential ingredient for the validity of the kinematic decomposition \(\mathbf{F} = \mathbf{F}^{\mathrm{e}} \mathbf{F}^{\mathrm{i}}\) ⋮ Historical review of internal state variable theory for inelasticity ⋮ An analysis of texture and plastic spin for planar polycrystals ⋮ A uniquely defined multiplicative elasto-plasticity model with orthotropic yield function and plastic spin ⋮ Derivation of \(\mathbf{F} = \mathbf{F}^{\operatorname{e}} \mathbf{F}^{\operatorname{p}}\) as the continuum limit of crystalline slip ⋮ A discussion of multiplicative decompositions and strain measures

Cites Work

• A discussion of stress rates in finite deformation problems
• Sur la définition de la vitesse de déformation élastique et sa rélation avec la vitesse de contrainte
• Kinematics of deformation processes in materials subjected to finite elastic-plastic strains
• On finite deformation elasto-plasticity
• A general theory of an elastic-plastic continuum
• Some remarks on elastic-plastic deformation at finite strain
• Equations constitutives et directeurs dans les milieux plastiques et viscoplastiques
• A Remark on the Use of the Decomposition F = FeFp in Plasticity
• A Correct Definition of Elastic and Plastic Deformation and Its Computational Significance
• Elastic-Plastic Deformation at Finite Strains
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