Discrete structures in continuum descriptions of defective crystals

DOI10.1098/rsta.2015.0172zbMath1353.82073OpenAlexW2238568538WikidataQ39609891 ScholiaQ39609891MaRDI QIDQ2955855

Parry, Gareth P.

Publication date: 13 January 2017

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://europepmc.org/articles/pmc4810884

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25)

Related Items (max. 100)

The structure of almost Abelian Lie algebras ⋮ Almost abelian Lie groups, subgroups and quotients ⋮ A Kinematics of Defects in Solid Crystals ⋮ Geometrical structure of two-dimensional crystals with non-constant dislocation density ⋮ Connection and curvature in crystals with non-constant dislocation density

Cites Work

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• Group elastic symmetries common to continuum and discrete defective crystals
• The structure of uniform discrete defective crystals
• On defect-preserving deformations in crystals
• A proposal for a continuum theory of defective crystals
• Equilibrium configurations of defective crystals
• Integrability of Lie brackets
• Flows on Homogeneous Spaces. (AM-53)
• A complete list of invariants for defective crystals
• Elastic scalar invariants in the theory of defective crystals
• The classifying Lie algebroid of a geometric structure I: Classes of coframes
• A global formulation of the Lie theory of transformation groups
• Elastic-Plastic Deformation at Finite Strains

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