Geometric characterization of continuously defective elastic crystals

DOI10.1177/10812865211058769OpenAlexW4200108748MaRDI QIDQ5041609

Marek Elżanowski

Publication date: 14 October 2022

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

Full work available at URL: https://doi.org/10.1177/10812865211058769

zbMATH Keywords

homogeneous spacescurvatureinvariant connectionselastic crystalscontinuous distributions of defects

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Cites Work

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• A proposal for a continuum theory of defective crystals
• Material symmetry in a theory of continuously defective crystals
• Transformation groups in differential geometry.
• On Invariant Connections over a Principal Fibre Bundle
• A Kinematics of Defects in Solid Crystals
• Group Properties of Defective Crystal Structures
• Elastic scalar invariants in the theory of defective crystals
• Riemann–Cartan geometry of nonlinear disclination mechanics
• Connection and curvature in crystals with non-constant dislocation density
• The Geometrical Language of Continuum Mechanics
• Elastic-Plastic Deformation at Finite Strains

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