Hodge duality and continuum theory of defects

DOI10.1088/0305-4470/32/44/103zbMath0960.74008OpenAlexW1984012257MaRDI QIDQ4947854

Hiroyuki Nagahama, Kazuhito Yamasaki

Publication date: 25 April 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/32/44/103

zbMATH Keywords

differential formsBianchi identities\(p\)-formCartan structure equationscouple-stress and angular momentum 2-formdefect fielddislocation 2-formHodge duality transformationsstress space-time

Mathematics Subject Classification ID

Fracture and damage (74R99) General theory of differentiable manifolds (58A99) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (4)

Feynman's proof and non-elastic displacement fields: relationship between magnetic field and defects field ⋮ Connection Structures of Topological Singularity in Micromechanics from a Viewpoint of Generalized Finsler Space ⋮ Finsler geometry of topological singularities for multi-valued fields: Applications to continuum theory of defects ⋮ Hodge duality between stress space and strain space in anisotropic media

This page was built for publication: Hodge duality and continuum theory of defects