Fractal reinforcement of elastic membranes

DOI10.1007/s00205-008-0145-1zbMath1251.74023OpenAlexW2076149673MaRDI QIDQ1041118

Umberto Mosco, Maria Agostina Vivaldi

Publication date: 30 November 2009

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-008-0145-1

zbMATH Keywords

energy functionalhomogenizationspectral convergencesingular elliptic operator

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Energy minimization in equilibrium problems in solid mechanics (74G65) Membranes (74K15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (16)

Asymptotic analysis of an elastic material reinforced with thin fractal strips ⋮ Periodic homogenization for quasi-filling fractal layers ⋮ Reinforcement problems for variational inequalities on fractal sets ⋮ On a discrete self-organized-criticality finite time result ⋮ Graph‐like spaces approximated by discrete graphs and applications ⋮ Homogenization of elastic materials containing self-similar rigid micro-inclusions ⋮ <i>H</i>-Compactness of Elliptic Operators on Weighted Riemannian Manifolds ⋮ Singular homogenization for Sierpinski pre-fractals ⋮ Interfacial contact model in a dense network of elastic materials ⋮ Insulating layers and Robin problems on Koch mixtures ⋮ Mosco-convergence and Wiener measures for conductive thin boundaries ⋮ Dynamical Quasi-Filling Fractal Layers ⋮ Singular \(p\)-homogenization for highly conductive fractal layers ⋮ Thin fractal fibers ⋮ Homogenization of a quasilinear elliptic problem in a fractal-reinforced structure ⋮ Layered fractal fibers and potentials

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