A continuum theory of screw dislocation equilibrium

DOI10.1016/j.ijengsci.2017.03.012zbMath1423.74121OpenAlexW2599544102MaRDI QIDQ1626441

Victor L. Berdichevsky

Publication date: 27 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.2017.03.012

zbMATH Keywords

continuum theory of dislocationsdislocation equilibriumEshelby dislocationsmicrostructure energy

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Inhomogeneity in solid mechanics (74E05) Micromechanics of solids (74M25) Micromechanical theories (74A60) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Related Items (2)

Dislocation impediment by the grain boundaries in polycrystals ⋮ Modelling the effect of surface passivation within higher-order strain gradient plasticity: the case of wire torsion

Cites Work

• The structure and energetics of, and the plasticity caused by, Eshelby dislocations
• Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity
• Singularity-free dislocation dynamics with strain gradient elasticity
• Variational principles of continuum mechanics. I: Fundamentals
• Non-homogeneous media and vibration theory
• Energy of dislocation networks
• On a continuum theory of dislocation equilibrium
• A non-singular continuum theory of dislocations
• Energy distribution in a neutral gas of point vortices.
• The solid angle and the Burgers formula in the theory of gradient elasticity: line integral representation
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