Non-local effects by homogenization or 3D-1D dimension reduction in elastic materials reinforced by stiff fibers

DOI10.1016/J.JDE.2015.09.055zbMath1332.35029arXiv1503.07453OpenAlexW1820932862MaRDI QIDQ897790

Roberto Paroni, Ali Sili

Publication date: 7 December 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.07453

zbMATH Keywords

dimension reductionsoft materialperiodic array of rodsstiff material

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (9)

Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: Rigidity and anisotropy ⋮ An uncoupled limit model for a high-contrast problem in a thin multi-structure ⋮ Homogenization of an anisotropic elastic material reinforced by a small volume fraction of very stiff anisotropic fibers. Non local effects. Bending effects. Torsional effects ⋮ Homogenization with strong contrasting diffusivity in a circular oscillating domain with \(L^1\) source term ⋮ The one‐dimensional model for an elliptic equation in a perforated thin anisotropic heterogeneous three‐dimensional structure ⋮ Limit models for thin heterogeneous structures with high contrast ⋮ Strong contrasting diffusivity in general oscillating domains: homogenization of optimal control problems ⋮ On the limit spectrum of a degenerate operator in the framework of periodic homogenization or singular perturbation problems ⋮ On static and evolutionary homogenization in crystal plasticity for stratified composites

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