The \(T(3)\)-gauge model, the Einstein-like gauge equation, and Volterra dislocations with modified asymptotics.

DOI10.1006/aphy.2000.6088zbMath1051.74003arXivcond-mat/9901316OpenAlexW1573450433MaRDI QIDQ5938521

No author found.

Publication date: 22 July 2001

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9901316

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Micromechanical theories (74A60)

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Cites Work

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• Metric-torsion gauge theory of continuum line defects
• Matching the inner and outer solutions in the continuum theory of dislocations
• Nicht-lineare Elastizitätstheorie der Versetzungen und Eigenspannungen
• Geometrical theories of gravitation with short-range forces
• A gauge theory of dislocations and disclinations
• Gauge field theory of a continuum with dislocations and disclinations
• A gauge theory of defects in media with microstructure
• Edge and screw dislocations in the linearized gauge theory of defects
• Gauge theory of ``plastically incompressible medium without dissipation. I: Dispersion relations and propagation of perturbations without dissipation
• Dislocations and gauge invariance
• Scattering on dislocations and cosmic strings in the geometric theory of defects
• A gauge theory of relaxing elastic materials containing dislocations
• Finite element implementation of the gauge theory of damage
• A correct, globally defined solution of the screw dislocation problem in the gauge theory of defects
• Theory of defects in solids and three-dimensional gravity
• Nonlinear elastic problems in dislocation theory: a gauge approach
• Remark on Groups and Internal Structure in Continuum Mechanics
• Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies