Material and spatial gauge theories of solids. I: Gauge constructs, geometry, and kinematics
type: Item
instance of: scholarly article
title: Material and spatial gauge theories of solids. I: Gauge constructs, geometry, and kinematics
zbMATH Open document ID: 0687.73004
DOI: 10.1016/0020-7225(89)90132-8
author: Dimitris C. Lagoudas
author: Dominic G. B. Edelen
published in: International Journal of Engineering Science
publication date: 1989-01-01T00:00:00Z
Mathematics Subject Classification ID: 74A99
Mathematics Subject Classification ID: 74A60
Mathematics Subject Classification ID: 74M25
Mathematics Subject Classification ID: 22E70
Mathematics Subject Classification ID: 81T60
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 53A17
zbMATH DE Number: 4126750
zbMATH Keywords: continuous distributions of defects
zbMATH Keywords: local internal and external symmetries
zbMATH Keywords: invariance of the Lagrangian
zbMATH Keywords: global action of internal (spatial) and external (material)
zbMATH Keywords: symmetry groups
zbMATH Keywords: invariance under local action of both groups of symmetries
zbMATH Keywords: minimal replacement construct of gauge theory
zbMATH Keywords: nontrivial spatial and material gauge connections
zbMATH Keywords: two sets of Cartan equations of structure
zbMATH Keywords: two different types of torsion and curvature
zbMATH Keywords: spatial torsion
zbMATH Keywords: microcracks
zbMATH Keywords: microrotations
zbMATH Keywords: material torsion
zbMATH Keywords: dislocations
zbMATH Keywords: disclinations
zbMATH Keywords: energy dissipation mechanisms
zbMATH Keywords: global action of internal (spatial) and external (material) symmetry groups
MaRDI profile type: Publication
full work available at URL: 0020-7225(89)90132-8
OpenAlex ID: W2088780224
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description: scientific article; zbMATH DE number 4126750