Connection and curvature in crystals with non-constant dislocation density

DOI10.1177/1081286518791008zbMath1425.74121OpenAlexW2886520327MaRDI QIDQ5244335

Marek Elżanowski, Parry, Gareth P.

Publication date: 20 November 2019

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286518791008

zbMATH Keywords

homogeneous spacesconnectionsdisclinationselastic crystalscontinuous distributions of defects

Mathematics Subject Classification ID

Crystalline structure (74E15) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of differential geometry to physics (53Z05)

Related Items (2)

Geometric characterization of continuously defective elastic crystals ⋮ A Kinematics of Defects in Solid Crystals

Cites Work

• A proposal for a continuum theory of defective crystals
• Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Transl. from the Russian by A. Kozlowski
• Material symmetry in a theory of continuously defective crystals
• Discrete structures in continuum descriptions of defective crystals
• A complete list of invariants for defective crystals
• Group Properties of Defective Crystal Structures
• Elastic scalar invariants in the theory of defective crystals
• A global formulation of the Lie theory of transformation groups
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