Riemannian surfaces with torsion as homogenization limits of locally Euclidean surfaces with dislocation-type singularities
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Publication:5507003
DOI10.1017/S0308210515000773zbMath1355.53075arXiv1410.2909WikidataQ115335794 ScholiaQ115335794MaRDI QIDQ5507003
Publication date: 16 December 2016
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.2909
Applications of differential geometry to physics (53Z05) Global differential geometry (53C99) Theory of singularities and catastrophe theory (58K99) Applications of global analysis to the sciences (58Z99)
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Limits of elastic models of converging Riemannian manifolds ⋮ Continuum dynamics on manifolds: application to elasticity of residually-stressed bodies ⋮ Non-metricity in the continuum limit of randomly-distributed point defects ⋮ Homogenization of Edge-Dislocations as a Weak Limit of de-Rham Currents ⋮ Limits of Distributed Dislocations in Geometric and Constitutive Paradigms ⋮ Affine Killing vector fields on homogeneous surfaces with torsion ⋮ Variational convergence of discrete geometrically-incompatible elastic models ⋮ Reshetnyak rigidity for Riemannian manifolds
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