A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on the accumulation of geometrically necessary dislocations

DOI10.1016/j.ijplas.2010.02.002zbMath1432.74047OpenAlexW1992978666MaRDI QIDQ422647

Morton E. Gurtin

Publication date: 18 May 2012

Published in: International Journal of Plasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijplas.2010.02.002

zbMATH Keywords

second law of thermodynamicsprinciple of virtual powerwork hardeningmicroscopic force balancesnonlocal flow rule

Mathematics Subject Classification ID

Crystalline structure (74E15) Large-strain, rate-dependent theories of plasticity (74C20) Micromechanical theories (74A60) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

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Cites Work

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• A thermodynamic internal variable model for the partition of plastic work into heat and stored energy in metals
• A comparison of nonlocal continuum and discrete dislocation plasticity predictions.
• The Burgers vector and the flow of screw and edge dislocations in finite-deformation single-crystal plasticity
• A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on densities of geometrically necessary dislocations
• Scale-dependent crystal plasticity framework with dislocation density and grain boundary effects
• On the characterization of geometrically necessary dislocations in finite plasticity
• A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations

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