Renormalized energy of a dislocation loop in a 3D anisotropic body

DOI10.1007/s10659-023-10017-wzbMath1526.35147OpenAlexW4381573681MaRDI QIDQ6064100

Šilhavý, Miroslav

Publication date: 8 November 2023

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-023-10017-w

zbMATH Keywords

energydislocation loopsingularities of elastic fields

Mathematics Subject Classification ID

Stress concentrations, singularities in solid mechanics (74G70) PDEs in connection with mechanics of deformable solids (35Q74) Second-order elliptic systems (35J47)

Cites Work

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• Currents and dislocations at the continuum scale
• The line-tension approximation as the dilute limit of linear-elastic dislocations
• Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity
• Partial differential equations. I: Basic theory
• Normal currents: structure, duality pairings and div-curl lemmas
• The Radon transform.
• Curvature Measures
• On the Motion of Curved Dislocations in Three Dimensions: Simplified Linearized Elasticity
• The Minimum Norm Projection on C 2 -Manifolds in R n
• Nonlinear orthogonal projection
• A Variational Approach to Single Crystals with Dislocations
• Renormalized Energy and Peach-K\"ohler Forces for Screw Dislocations with Antiplane Shear
• Renormalized Energy and Forces on Dislocations