Incompatibility-governed singularities in linear elasticity with dislocations

DOI10.1177/1081286516642817zbMath1391.74024OpenAlexW2402348708MaRDI QIDQ4563211

Nicolas Van Goethem

Publication date: 7 June 2018

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

Full work available at URL: https://doi.org/10.1177/1081286516642817

zbMATH Keywords

linear elasticitydislocationsincompatibility

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Stress concentrations, singularities in solid mechanics (74G70)

Related Items (7)

Existence and asymptotic results for an intrinsic model of small-strain incompatible elasticity ⋮ A Variational Approach to Single Crystals with Dislocations ⋮ The Incompatibility Operator: from Riemann’s Intrinsic View of Geometry to a New Model of Elasto-Plasticity ⋮ Analytic and geometric properties of dislocation singularities ⋮ Topological defects and metric anomalies as sources of incompatibility for piecewise smooth strain fields ⋮ Incompatibility-governed elasto-plasticity for continua with dislocations ⋮ The Frank tensor as a boundary condition in intrinsic linearized elasticity

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• Analysis of the Incompatibility Operator and Application in Intrinsic Elasticity with Dislocations

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