Homogenization of Edge-Dislocations as a Weak Limit of de-Rham Currents

DOI10.1007/978-3-030-42683-5_6zbMath1445.74047arXiv1810.12359OpenAlexW2899360098MaRDI QIDQ3300568

Elihu Olami, Raz Kupferman

Publication date: 29 July 2020

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

Full work available at URL: https://arxiv.org/abs/1810.12359

zbMATH Keywords

material structure1-formsingular torsion current

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Micromechanical theories (74A60) Homogenization in equilibrium problems of solid mechanics (74Q05) de Rham theory in global analysis (58A12)

Related Items (2)

Elasto-plastic evolution of single crystals driven by dislocation flow ⋮ Regular and Singular Dislocations

Cites Work

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• Limits of elastic models of converging Riemannian manifolds
• The co-divergence of vector valued currents
• A proposal for a continuum theory of defective crystals
• Riemann-Cartan geometry of nonlinear dislocation mechanics
• Metric description of singular defects in isotropic materials
• The emergence of torsion in the continuum limit of distributed edge-dislocations
• Riemannian surfaces with torsion as homogenization limits of locally Euclidean surfaces with dislocation-type singularities

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