A four-dimensional nonlinear geometric theory of defect continuum

DOI10.1016/0020-7225(90)90130-BzbMath0718.73074OpenAlexW2093466092MaRDI QIDQ2639694

Yanyan Li

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0020-7225(90)90130-b

zbMATH Keywords

dislocationsBianchi identitiesdisclinationsEuclideanmicroscopic defectsnon-Euclidean4-dimensional nonrelativistic space-time material manifoldCartan connectinsdeformation of macroscopic continuumset of total covariant nonlinear continuity equations of defect dynamics

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Micromechanical theories (74A60) Differential geometric aspects in kinematics (53A17)

Related Items (4)

THE QUANTIZATION AND PRODUCTION OF THE SPACE–TIME DEFECTS IN THE EARLY UNIVERSE ⋮ The origin and bifurcation of the space-time defects in the early universe ⋮ Gauge potential decomposition, space-time defects, and Planck’s constant ⋮ The branch processes of Chern-Simons (CS) \(p\)-branes

Cites Work

• A gauge theory of dislocations and disclinations
• Gauge field theory of a continuum with dislocations and disclinations
• Duality principle of conservation laws in dislocation continuum
• A four-dimensional formulation of defect dynamics and some of its consequences
• Invariant Theoretical Interpretation of Interaction
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