A gauge theory of relaxing elastic materials containing dislocations

DOI10.1016/0020-7225(94)90008-6zbMath0790.73064OpenAlexW2161968686MaRDI QIDQ1315713

A. Kadić-Galeb, Romesh C. Batra

Publication date: 24 March 1994

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

Full work available at URL: https://doi.org/10.1016/0020-7225(94)90008-6

zbMATH Keywords

generalized LagrangianYang-Mills gauge theorydislocation currents

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Yang-Mills and other gauge theories in quantum field theory (81T13) Micromechanical theories (74A60)

Related Items

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

Cites Work

• Matching the inner and outer solutions in the continuum theory of dislocations
• A gauge theory of damage
• A gauge theory of defects in media with microstructure
• Gauge theory of vortices in a fluid
• Gauge theory for an elementary dissipative process
• Material and spatial gauge theories of solids. II: Problems with given material dislocation densities
• Material and spatial gauge theories of solids. III: Dynamics of disclination free states
• Conservation of Isotopic Spin and Isotopic Gauge Invariance