Non-metricity and the Nonlinear Mechanics of Distributed Point Defects

DOI10.1007/978-3-319-18573-6_8zbMath1325.74020OpenAlexW2253082377MaRDI QIDQ3449741

Arash Yavari, Alain Goriely

Publication date: 5 November 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18573-6_8

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Micromechanical theories (74A60) Applications of global differential geometry to the sciences (53C80)

Related Items (1)

Manifolds in a Theory of Microstructures

Cites Work

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• The differential geometry of elementary point and line defects in Bravais crystals
• Finite strain solutions in compressible isotropic elasticity
• A view of the relation between the continuum theory of lattice defects and non-Euclidean geometry in the linear approximation
• Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\)
• Volume-forms and minimal action principles in affine manifolds
• Riemann-Cartan geometry of nonlinear dislocation mechanics
• Continuum elasticity with topological defects, including dislocations and extra-matter
• Riemann–Cartan geometry of nonlinear disclination mechanics
• Weyl geometry and the nonlinear mechanics of distributed point defects
• Nonlinear elastic inclusions in isotropic solids
• The Large Scale Structure of Space-Time
• Distortion of a Crystal by Point Imperfections

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