Group Properties of Defective Crystal Structures

DOI10.1177/10812865030085006zbMath1072.74016OpenAlexW2093325920MaRDI QIDQ4467317

Parry, Gareth P.

Publication date: 9 June 2004

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

Full work available at URL: https://doi.org/10.1177/10812865030085006

zbMATH Keywords

energy functionsmaterial symmetry groupuniform dislocation density tensor

Mathematics Subject Classification ID

Crystalline structure (74E15) Statistical mechanics of crystals (82D25) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items

Geometric characterization of continuously defective elastic crystals ⋮ The structure of uniform discrete defective crystals ⋮ Continuously defective crystals with a prescribed dislocation density ⋮ Reconciliation of local and global symmetries for a class of crystals with defects ⋮ On symmetries of crystals with defects related to a class of solvable groups (S₁) ⋮ A classification of the symmetries of uniform discrete defective crystals ⋮ A Kinematics of Defects in Solid Crystals ⋮ Elastic symmetries of defective crystals ⋮ Rotational symmetries of crystals with defects ⋮ Connection and curvature in crystals with non-constant dislocation density

Cites Work

• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
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• On \(\nu +1\)-lattices
• Lie groups and algebras with applications to physics, geometry, and mechanics
• A proposal for a continuum theory of defective crystals
• Equilibrium configurations of defective crystals
• Lie Algebras and Inhomogeneous Simple Materials
• A complete list of invariants for defective crystals
• Elastic scalar invariants in the theory of defective crystals
• Invariant line integrals in the theory of defective crystals
• The moving frame, and defects in crystals