Dispersion relations for the linearized field equations of dislocation dynamics

DOI10.1016/0020-7225(88)90034-1zbMath0662.73026OpenAlexW2074556571MaRDI QIDQ1114483

Dominic G. B. Edelen, Dimitris C. Lagoudas

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0020-7225(88)90034-1

zbMATH Keywords

longitudinalconstitutive lawsfirst order approximationanelastic behavioranelastic distortionasymptotic expansion of full nonlinear set of field equationsdecomposition of distortion into elastic and anelastic partsdefect Lagrangiandislocation fieldsfield equations for internal fieldsinfinitely extended space-time domainmeasuring additional material constantspartially (hyper) elastic materialtransverse elastic wavesYang-Mills type gauge theory of dislocations

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Nonlinear elasticity (74B20) Micromechanics of solids (74M25) Wave scattering in solid mechanics (74J20) Micromechanical theories (74A60)

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Plane harmonic waves in the linearized gauge theory of dislocations ⋮ Gauge model of ``plastically incompressible medium. Configurations of normal oscillations with energy dissipation ⋮ Propagation of a transverse wave through the interface of elastic-plastic bodies with dislocations ⋮ 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 ⋮ On the relevance of generalized disclinations in defect mechanics

Cites Work

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• A gauge theory of dislocations and disclinations
• Boundary tractions in the gauge theory of dislocations and disclinations
• Elastic precursor decay and radiation from nonuniformly moving dislocations
• A Yang-Mills type minimal coupling theory for materials with dislocations and disclinations
• The interaction of kinks and elastic waves