A distributional approach to 2D Volterra dislocations at the continuum scale

DOI10.1017/S0956792512000010zbMath1376.74003OpenAlexW1999417649MaRDI QIDQ2888864

Nicolas Van Goethem, François Dupret

Publication date: 4 June 2012

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792512000010

zbMATH Keywords

distribution theorydisclinationstrain incompatibilitydefect density tensor

Mathematics Subject Classification ID

Crystalline structure (74E15) Micromechanical theories (74A60)

Related Items (10)

Variational evolution of dislocations in single crystals ⋮ DIRECT EXPRESSION OF INCOMPATIBILITY IN CURVILINEAR SYSTEMS ⋮ Existence and asymptotic results for an intrinsic model of small-strain incompatible elasticity ⋮ A distributional approach to the geometry of \(2D\) dislocations at the continuum scale ⋮ The Incompatibility Operator: from Riemann’s Intrinsic View of Geometry to a New Model of Elasto-Plasticity ⋮ Cauchy elasticity with dislocations in the small strain assumption ⋮ Incompatibility-governed elasto-plasticity for continua with dislocations ⋮ Analysis of the Incompatibility Operator and Application in Intrinsic Elasticity with Dislocations ⋮ Poincaré path integrals for elasticity ⋮ Fields of bounded deformation for mesoscopic dislocations

Cites Work

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• Duality and symmetry lost in solid mechanics
• The energy of elastic defects: a distributional approach
• Geometry and thermomechanics of structural rearrangements: Ekkehart Kröner's legacy Plenary lecture presented at the 80th Annual GAMM Conference, Augsburg, 25-28 March 2002

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