Two-dimensional defective crystals with non-constant dislocation density and unimodular solvable group structure

DOI10.1007/s10659-018-9680-7zbMath1411.74022OpenAlexW2809729913WikidataQ129601648 ScholiaQ129601648MaRDI QIDQ2633445

Maxim Zyskin, Parry, Gareth P.

Publication date: 8 May 2019

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

Full work available at URL: https://doi.org/10.1007/s10659-018-9680-7

zbMATH Keywords

Lie groupsdefectscrystals

Mathematics Subject Classification ID

Texture in solid mechanics (74E25) Granularity (74E20)

Cites Work

• On defect-preserving deformations in crystals
• A proposal for a continuum theory of defective crystals
• Equilibrium configurations of defective crystals
• Geometrical structure of two-dimensional crystals with non-constant dislocation density
• Flows on some three dimensional homogeneous spaces
• A complete list of invariants for defective crystals
• Left invariant metrics and curvatures on simply connected three-dimensional Lie groups
• Elastic scalar invariants in the theory of defective crystals
• On symmetries of crystals with defects related to a class of solvable groups (S₁)
• A global formulation of the Lie theory of transformation groups
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