Group elastic symmetries common to continuum and discrete defective crystals

DOI10.1007/s10659-013-9450-5zbMath1408.74007OpenAlexW1987887723MaRDI QIDQ464307

Rachel Nicks, Parry, Gareth P.

Publication date: 17 October 2014

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: http://eprints.nottingham.ac.uk/2054/

zbMATH Keywords

inelastic deformationLie groupdislocation density tensorelastic deformationCartan torsioncontinuous automorphisms

Mathematics Subject Classification ID

Crystalline structure (74E15) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of differential geometry to physics (53Z05) Theory of constitutive functions in solid mechanics (74A20)

Related Items

A single theory for some quasi-static, supersonic, atomic, and tectonic scale applications of dislocations ⋮ Discrete structures in continuum descriptions of defective crystals ⋮ A classification of the symmetries of uniform discrete defective crystals ⋮ Geometrical structure of two-dimensional crystals with non-constant dislocation density

Cites Work

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• A proposal for a continuum theory of defective crystals
• Material symmetry in a theory of continuously defective crystals
• Flat manifolds with parallel torsion
• Flows on Homogeneous Spaces. (AM-53)
• Left invariant metrics and curvatures on simply connected three-dimensional Lie groups
• LATTICES IN SOLVABLE LIE GROUPS AND DEFORMATIONS OF HOMOGENEOUS SPACES
• Reversing symmetry group of and matrices with connections to cat maps and trace maps
• On symmetries of crystals with defects related to a class of solvable groups (S₁)
• Some remarks on the continuum theory of defects in solids