Energy of dislocation networks

DOI10.1016/j.ijengsci.2016.02.011zbMath1423.74146OpenAlexW2327613356MaRDI QIDQ1625989

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.2016.02.011

zbMATH Keywords

homogenizationcontinuum theory of dislocationsenergy of dislocation line

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Statistical mechanics of crystals (82D25)

Related Items (4)

On a continuum theory of dislocation equilibrium ⋮ A continuum theory of screw dislocation equilibrium ⋮ A stochastic study of the collective effect of random distributions of dislocations ⋮ Derivation of strain-gradient plasticity from a generalized Peierls-Nabarro model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic behaviour of a pile-up of infinite walls of edge 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
• Thermodynamic coarsening of dislocation mechanics and the size-dependent continuum crystal plasticity
• Continuum theory of dislocations revisited
• Relations between grain boundary character distribution, misorientation distribution and two-point orientation distribution
• Self-energy of dislocations and dislocation pileups
• A non-singular continuum theory of dislocations
• The solid angle and the Burgers formula in the theory of gradient elasticity: line integral representation

This page was built for publication: Energy of dislocation networks