A proof of the Flaherty-Keller formula on the effective property of densely packed elastic composites
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Publication:2283595
DOI10.1007/s00526-019-1692-zzbMath1439.35160arXiv1707.02205OpenAlexW2998568272WikidataQ126395457 ScholiaQ126395457MaRDI QIDQ2283595
Publication date: 10 January 2020
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.02205
Classical linear elasticity (74B05) Bounds on effective properties in solid mechanics (74Q20) Second-order elliptic systems (35J47)
Related Items (8)
An extended Flaherty-Keller formula for an elastic composite with densely packed convex inclusions ⋮ Singularities of the stress concentration in the presence of 𝐶^{1,𝛼}-inclusions with core-shell geometry ⋮ Gradient asymptotics of solutions to the Lamé systems in the presence of two nearly touching \(C^{1, \gamma }\)-inclusions ⋮ Upper and lower bounds for stress concentration in linear elasticity when 𝐶^{1,𝛼} inclusions are close to boundary ⋮ Quantitative analysis of field concentration in presence of closely located inclusions of high contrast ⋮ Quantitative characterization of stress concentration in the presence of closely spaced hard inclusions in two-dimensional linear elasticity ⋮ Bending/tension of plate reinforced by a system of parallel fiber ⋮ Boundary layers on the upper/lower surfaces of reinforced plates
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