Relaxation of the single-slip condition in strain-gradient plasticity

DOI10.1098/RSPA.2014.0098zbMath1348.74070arXiv1402.0114OpenAlexW3105186593WikidataQ51041798 ScholiaQ51041798MaRDI QIDQ2830149

K. Anguige, Patrick W. Dondl

Publication date: 9 November 2016

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0114

zbMATH Keywords

relaxationcalculus of variationsplasticitysingle slipstrain-gradient plasticity

Mathematics Subject Classification ID

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

Related Items (10)

Variational Modeling of Slip: From Crystal Plasticity to Geological Strata ⋮ Rate-Independent versus Viscous Evolution of Laminate Microstructures in Finite Crystal Plasticity ⋮ Variational Gradient Plasticity: Local-Global Updates, Regularization and Laminate Microstructures in Single Crystals ⋮ Energy Estimates, Relaxation, and Existence for Strain-Gradient Plasticity with Cross-Hardening ⋮ Gradient Theory for Geometrically Nonlinear Plasticity via the Homogenization of Dislocations ⋮ Microstructure in Plasticity, a Comparison between Theory and Experiment ⋮ On the existence of minimisers for strain‐gradient single‐crystal plasticity ⋮ An assessment of numerical techniques to find energy-minimizing microstructures associated with nonconvex potentials ⋮ Low volume-fraction microstructures in martensites and crystal plasticity ⋮ Dislocation microstructures and strain-gradient plasticity with one active slip plane

Cites Work

• The evolution of laminates in finite crystal plasticity: a variational approach
• Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity
• Lattice incompatibility and a gradient theory of crystal plasticity
• Dislocation microstructures and the effective behavior of single crystals
• Nonconvex energy minimization and dislocation structures in ductile single crystals
• RELAXATION OF A MODEL IN FINITE PLASTICITY WITH TWO SLIP SYSTEMS
• A model for the evolution of laminates in finite‐strain elastoplasticity
• Relaxation of a class of variational models in crystal plasticity
• On the characterization of geometrically necessary dislocations in finite plasticity

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