Material and spatial gauge theories of solids. III: Dynamics of disclination free states

DOI10.1016/0020-7225(89)90018-9zbMath0687.73006OpenAlexW2036519761MaRDI QIDQ1263319

Dominic G. B. Edelen

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0020-7225(89)90018-9

zbMATH Keywords

transformation lawsobjectivityfield equationsintegrability conditionsminimal couplingmaterial frame indifferencetotal Lagrangianfield equations for the material translation compensating fieldsfield intensitiesgauge covariantintrinsically nonlinearmaterial defect fieldsminimal replacementtranslation subgroups

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Micromechanics of solids (74M25) Applications of Lie groups to the sciences; explicit representations (22E70) Micromechanical theories (74A60) Applications of local differential geometry to the sciences (53B50) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (5)

A gauge theory for brittle damage in solids and a peridynamics implementation ⋮ Gauge theory of ``plastically incompressible medium. II: Dispersion relations with dissipation ⋮ A 1-dimensional elastic model with time translation gauge invariance ⋮ Gauge-field-theory solution of the elastic state of a screw dislocation in a dispersive (non-local) crystalline solid ⋮ A gauge theory of relaxing elastic materials containing dislocations

Cites Work

• Matching the inner and outer solutions in the continuum theory of dislocations
• Material and spatial gauge theories of solids. I: Gauge constructs, geometry, and kinematics
• Material and spatial gauge theories of solids. II: Problems with given material dislocation densities
• Unnamed Item

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