A Yang-Mills type minimal coupling theory for materials with dislocations and disclinations

DOI10.1016/0020-7225(82)90049-0zbMath0468.73134OpenAlexW2057026422MaRDI QIDQ1156565

Dominic G. B. Edelen, Aida Kadic

Publication date: 1982

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(82)90049-0

zbMATH Keywords

6-parameter gauge groupdisclination fieldshomogeneity breakingrotational dislocationstranslational dislocationsYang-Mills universal gauge theory construction

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Micromechanics of solids (74M25) Micromechanical theories (74A60) Constructive quantum field theory (81T08) Variational principles of physics (49S05)

Related Items (12)

Dispersion relations for the linearized field equations of dislocation dynamics ⋮ A Yang-Mills type of equation for the compatibility conditions ⋮ On the traction boundary value problem in the linearized gauge theory of dislocations ⋮ Effective stress in the gauge theory of dislocations ⋮ A conformal gauge theory of solids: insights into a class of electromechanical and magnetomechanical phenomena ⋮ Gauge theory of ``plastically incompressible medium without dissipation. I: Dispersion relations and propagation of perturbations without dissipation ⋮ Gauge theory of ``plastically incompressible medium. II: Dispersion relations with dissipation ⋮ A modified peridynamics correspondence principle: removal of zero-energy deformation and other implications ⋮ On the nonlinear continuum theory of dislocations: a gauge field theoretical approach ⋮ The topological structure of the space–time disclination ⋮ Dislocation and displacement fields of finite bodies with given boundary tractions ⋮ Gauge field theory of a continuum with dislocations and disclinations

Cites Work

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• A four-dimensional formulation of defect dynamics and some of its consequences
• Fiber bundle techniques in gauge theories. Lectures in mathematical physics at the University of Texas at Austin. Edited by A. Böhm and J. D. Dollard
• The Forces Exerted on Dislocations and the Stress Fields Produced by Them

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