Continuum elasticity with topological defects, including dislocations and extra-matter

DOI10.1088/0305-4470/35/7/317zbMath1035.74006OpenAlexW2170738931MaRDI QIDQ4534817

Mirfaez Miri, N. Rivier

Publication date: 11 June 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/35/7/317

zbMATH Keywords

integral equationstraintorsioncurvaturePoisson equationdisclinationsgeometrical field theorynonmetricity tensors

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Micromechanical theories (74A60) Elastic materials (74B99)

Related Items (13)

Limits of elastic models of converging Riemannian manifolds ⋮ Non-metricity and the Nonlinear Mechanics of Distributed Point Defects ⋮ Non-metric connection and metric anomalies in materially uniform elastic solids ⋮ Unnamed Item ⋮ On the Lagrangian and instability of medium with defects ⋮ Non-metricity in the continuum limit of randomly-distributed point defects ⋮ Material affine connections for growing solids ⋮ Contorsion of material connection in growing solids ⋮ Riemann-Cartan geometry of nonlinear dislocation mechanics ⋮ COSMIC DEFECT COSMOLOGY ⋮ Finite incompatible deformations in elastic solids: relativistic approach ⋮ Unnamed Item ⋮ Metric description of singular defects in isotropic materials

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