Homogenization Limits of the Equations of Elasticity in Thin Domains

DOI10.1137/0518034zbMath0614.73012OpenAlexW1977112071MaRDI QIDQ4721708

Alain Damlamian, Michael S. Vogelius

Publication date: 1987

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/3452

zbMATH Keywords

periodicitypure bendingquasiperiodicityoptimal designflatboundedness conditionsconstitutive elastic lawfourth order, two- dimensional plate equation on the plate midplanelimiting vertical displacementslinearly elastic three-dimensional plateplate thickness approaching zerorapidly varying compositionuniform coercivity

Mathematics Subject Classification ID

Plates (74K20) Inhomogeneity in solid mechanics (74E05) Composite and mixture properties (74E30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Optimization problems in solid mechanics (74P99)

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