Stability of dislocation networks of low angle grain boundaries using a continuum energy formulation

DOI10.3934/dcdsb.2017183zbMath1419.82068OpenAlexW2739711398MaRDI QIDQ1756809

Xiaodong Yan, Yang Xiang

Publication date: 27 December 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2017183

zbMATH Keywords

stabilitydislocationcalculus of variationscontinuum modelgrain boundary

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (1)

Continuum Model and Numerical Method for Dislocation Structure and Energy of Grain Boundaries

Cites Work

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• Continuum framework for dislocation structure, energy and dynamics of dislocation arrays and low angle grain boundaries
• Improved Sobolev Inequalities
• Dislocation Models of Crystal Grain Boundaries

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