Variational formulations for single-crystal strain-gradient plasticity at large deformations

DOI10.1002/gamm.201310009zbMath1276.74008OpenAlexW1589579061MaRDI QIDQ2864831

Reddy, B. Daya

Publication date: 26 November 2013

Published in: GAMM-Mitteilungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/gamm.201310009

zbMATH Keywords

variational problemlarge deformationsstrain-gradient plasticitydissipation functionsingle-crystal plasticity

Mathematics Subject Classification ID

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) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)

Cites Work

• The role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. I: Polycrystalline plasticity
• The role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. II: Single-crystal plasticity
• Modeling of polycrystals using a gradient crystal plasticity theory that includes dissipative micro-stresses
• A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on the accumulation of geometrically necessary dislocations
• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• On the continuum formulation of higher-gradient plasticity for single and polycrystals
• Indentation size effects in crystalline materials: a law for strain gradient plasticity
• A unified treatment of strain gradient plasticity
• A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations
• A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on densities of geometrically necessary dislocations
• Finite element analysis and algorithms for single-crystal strain-gradient plasticity
• Elastic-Plastic Deformation at Finite Strains
• A reformulation of strain gradient plasticity.
• A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations

This page was built for publication: Variational formulations for single-crystal strain-gradient plasticity at large deformations