Material and spatial gauge theories of solids. I: Gauge constructs, geometry, and kinematics (Q1263317)
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scientific article; zbMATH DE number 4126750
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Material and spatial gauge theories of solids. I: Gauge constructs, geometry, and kinematics |
scientific article; zbMATH DE number 4126750 |
Statements
Material and spatial gauge theories of solids. I: Gauge constructs, geometry, and kinematics (English)
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1989
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continuous distributions of defects
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local internal and external symmetries
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invariance of the Lagrangian
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global action of internal (spatial) and external (material)
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symmetry groups
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invariance under local action of both groups of symmetries
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minimal replacement construct of gauge theory
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nontrivial spatial and material gauge connections
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two sets of Cartan equations of structure
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two different types of torsion and curvature
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spatial torsion
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microcracks
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microrotations
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material torsion
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dislocations
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disclinations
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energy dissipation mechanisms
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global action of internal (spatial) and external (material) symmetry groups
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