A four-dimensional formulation of defect dynamics and some of its consequences

DOI10.1016/0020-7225(80)90112-3zbMath0453.73106OpenAlexW2071318177MaRDI QIDQ1149303

Dominic G. B. Edelen

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0020-7225(80)90112-3

zbMATH Keywords

exterior calculusdisclinationsdefect dynamicsfour-dimensional formulation45-fold gauge group

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Micromechanical theories (74A60) Exterior differential systems (Cartan theory) (58A15)

Related Items (14)

TOPOLOGICAL STRUCTURE AND EVOLUTION OF SPACE–TIME DISLOCATIONS AND DISCLINATIONS ⋮ A four-dimensional nonlinear geometric theory of defect continuum ⋮ Feynman's proof and non-elastic displacement fields: relationship between magnetic field and defects field ⋮ The kinematics of continua and the concept of connection on classical space-time ⋮ Generalized Helmholtz theorem for multi-forms ⋮ A Yang-Mills type minimal coupling theory for materials with dislocations and disclinations ⋮ Material affine connections for growing solids ⋮ Nonlinear evolutionary problem for a laminated inhomogeneous spherical shell ⋮ Topological structure of dislocation in the gauge field theory of dislocation and disclinations continuum ⋮ Global solutions to problems in the classic theory of static dislocations ⋮ On the Fundamentals of the Three-dimensional Translation Gauge Theory of Dislocations ⋮ Dislocation and displacement fields of finite bodies with given boundary tractions ⋮ Unnamed Item ⋮ Towards a quantum field theory of defects and stresses-quantum vortex dynamics in a film of superfluid helium

Cites Work

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• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• The basic equations of the dynamics of the continuous distribution of dislocations. III: Special problems
• General forms of the dissipation inequality
• General solution of the dissipation inequality
• Die Theorie der Disklinationen
• On a closure of the governing equations of defect dynamics and the resulting theory of the plastic state

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