scientific article

Dominic G. B. Edelen, Dimitris C. Lagoudas

Publication date: 5 June 1993

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

scaling Noether theorem material symmetry dislocations charge completely integrable disclinations Yang-Mills minimal replacement construct field quantities static and dynamic problems observable quantities one-forms linear homotopy operators anti-exact exterior differential forms anti-exact gauge balances of linear momentum Burgers and Frank vectors Cartan equations of structure complete integrability of distortion covariant under the action of the fundamental gauge group dynamically complete gauge theory for matrix Lie groups harmonic-wave dispersion behavior kinematic equations of defect dynamics kinematics of defects kinetics of elastic dielectrics with defects Kröner's gauge and internal observers local action of the gauge group mechanical and electro-magnetic observables nonlinear vectorial version of the Proca type equation nonrelativistic framework nontrivial system of Abelian gauge transformations orbits of a gauge group rational procedures of approximation solutions of the linearized version of the field equations unified four-dimensional space-time background Yang-Mills minimal coupling construct

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Statistical mechanics of crystals (82D25) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Micromechanical theories (74A60) Applications of global differential geometry to the sciences (53C80) Exterior differential systems (Cartan theory) (58A15) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

Related Items

Space-time defect solutions of the Einstein field equations, On Finsler geometry and applications in mechanics: review and new perspectives, On the Nonlinear Mechanics of Bravais Crystals with Continuous Distributions of Defects, Recasting theory of elasticity with micro-finite elements, A trial of the gauge theory for the stress-function space, Feynman's proof and non-elastic displacement fields: relationship between magnetic field and defects field, Crystal dislocations and Dirac monopoles, A correct, globally defined solution of the screw dislocation problem in the gauge theory of defects, Unnamed Item, Electron energy can oscillate near a crystal dislocation, A screw dislocation in a functionally graded material using the translation gauge theory of dislocations, Mechanics of dislocations and metadislocations in quasicrystals and their approximants: power invariance and balance, Gravity and gauge: A new perspective, Mechanics and physics of disclinations in solids, The differential geometry of elementary point and line defects in Bravais crystals, On anholonomic deformation, geometry, and differentiation, THE PRINCIPLE OF LOCAL ROTATIONAL INVARIANCE AND THE COEXISTENCE OF MAGNETISM, CHARGE AND SUPERCONDUCTIVITY, Pure gauge theory of the Cosserat surface, Gauge-field-theory solution of the elastic state of a screw dislocation in a dispersive (non-local) crystalline solid, On the nonlinear continuum theory of dislocations: a gauge field theoretical approach, Matching the inner and outer solutions in the continuum theory of dislocations, Dislocations in Generalized Continuum Mechanics, Models of Continuum with Microcrack Distribution, Breaking of global gauge symmetries on a spatial-temporal subdomain, Kinematics of media with continuously changing topology, Tensor-tensor model of gravity