Gauge field theory of a continuum with dislocations and disclinations

DOI10.1016/0020-7225(86)90042-XzbMath0587.73001OpenAlexW2017237882MaRDI QIDQ1072733

B. George

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0020-7225(86)90042-x

zbMATH Keywords

constitutive relationsvariational principleLagrangian densityaffine connectioncovarianttorsion tensordisclinationsdecomposedgoverning field equationsgauge connectiongauge potential partgauge transformation.geometrical structure of a material manifoldinternal energy density functionsmacroscopically isotropic materialplastic imperfectionspure vielbein part

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Micromechanical theories (74A60) Plastic materials, materials of stress-rate and internal-variable type (74C99) Quantum field theory; related classical field theories (81T99) Theory of constitutive functions in solid mechanics (74A20) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (12)

TOPOLOGICAL STRUCTURE AND EVOLUTION OF SPACE–TIME DISLOCATIONS AND DISCLINATIONS ⋮ A four-dimensional nonlinear geometric theory of defect continuum ⋮ On a version of the nonlinear equations of the nonlocal moment theory of plasticity of materials with mobile disclinations ⋮ The branch process of cosmic strings ⋮ A new topological aspect of the arbitrary dimensional topological defects ⋮ A new gauge field theory of a continuum with dislocations and disclinations ⋮ Topological current structure of dislocations in the 4-dimensional gauge field theory of dislocation and disclination continuum ⋮ The \(T(3)\)-gauge model, the Einstein-like gauge equation, and Volterra dislocations with modified asymptotics. ⋮ Models of Continuum with Microcrack Distribution ⋮ The branch processes of Chern-Simons (CS) \(p\)-branes ⋮ The topological structure of the space–time disclination ⋮ Torsion structure in Riemann-Cartan manifold and dislocation

Cites Work

• Modern differential geometric techniques in the theory of continuous distributions of dislocations
• Nicht-lineare Elastizitätstheorie der Versetzungen und Eigenspannungen
• A Yang-Mills type minimal coupling theory for materials with dislocations and disclinations
• Invariant Theoretical Interpretation of Interaction
• Interaction of Neutrinos and Gravitational Fields
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
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