On a continuum theory of dislocation equilibrium

DOI10.1016/j.ijengsci.2016.05.003zbMath1423.74147OpenAlexW2406327215MaRDI QIDQ1626013

Victor L. Berdichevsky

Publication date: 26 November 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2016.05.003

zbMATH Keywords

continuum theory of dislocationsdislocation equilibriumplastic deformation of twisted beams

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Micromechanical theories (74A60) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Related Items (1)

A continuum theory of screw dislocation equilibrium

Cites Work

• Unnamed Item
• Modelling the torsion of thin metal wires by distortion gradient plasticity
• Asymptotic behaviour of a pile-up of infinite walls of edge dislocations
• On torsion of a single crystal rod
• The structure and energetics of, and the plasticity caused by, Eshelby dislocations
• Variational principles of continuum mechanics. I: Fundamentals
• Thermodynamic coarsening of dislocation mechanics and the size-dependent continuum crystal plasticity
• Continuum theory of dislocations revisited
• Homogenization in micro-plasticity
• On the energy of an elastic rod
• Self-energy of dislocations and dislocation pileups
• Energy of dislocation networks
• Mechanism-based strain gradient plasticity. I: Theory
• Mechanism-based strain gradient plasticity. II: Analysis

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