On the integrability of second-order \(G\)-structures with applications to continuous theorems of dislocations

DOI10.1016/0034-4877(93)90008-3zbMath0811.53023OpenAlexW2047841394MaRDI QIDQ1340770

Marcelo Epstein, Manuel de León

Publication date: 24 April 1995

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(93)90008-3

zbMATH Keywords

integrabilityelastic bodydislocationsdisclinationssecond-order \(G\)-structuressecond-order inhomogeneity

Mathematics Subject Classification ID

Elastic materials (74B99) (G)-structures (53C10)

Related Items (11)

Toward a Complete Second-Order Evolution Law ⋮ On frames defined by horizontal spaces ⋮ Homogeneity conditions for generalized Cosserat media ⋮ Lie groupoids and algebroids applied to the study of uniformity and homogeneity of Cosserat media ⋮ New notions of uniformity and homogeneity of Cosserat media ⋮ A geometric model for non-uniform processes of morphogenesis ⋮ Mass transport in morphogenetic processes: a second gradient theory for volumetric growth and material remodeling ⋮ Geometry and balance of hyperstresses ⋮ Geometrical theory of dislocations in bodies with microstructure ⋮ The geometry of uniformity in second-grade elasticity ⋮ Geometrical theory of uniform Cosserat media

Cites Work

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• Modern differential geometric techniques in the theory of continuous distributions of dislocations
• G-structures and material homogeneity
• The symmetry group of second-grade materials
• Theories of elasticity with couple-stress
• On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations
• Sur quelques propriétés des G-structures

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