Homogenization of thin piezoelectric perforated shells

DOI10.1051/m2an:2007046zbMath1138.74039OpenAlexW2127028574MaRDI QIDQ5900101

Bernadette Miara, Houari Mechkour, Marius Ghergu, Georges Griso

Publication date: 18 June 2008

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2007__41_5_875_0

zbMATH Keywords

existenceKoiter shell modelperiodic unfolding methodKorn's inequality

Mathematics Subject Classification ID

Shells (74K25) Electromagnetic effects in solid mechanics (74F15) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (7)

Mathematical modeling of planar physically nonlinear inhomogeneous plates with rectangular cuts in the three-dimensional formulation ⋮ Mathematical and numerical analysis of an obstacle problem for elastic piezoelectric beams ⋮ Asymptotic analysis of perforated shallow shells ⋮ Derivation of a homogenized von-Kármán shell theory from 3D elasticity ⋮ Second-order asymptotic analysis and computations of axially and spherically symmetric piezoelectric problems for composite structures ⋮ Asymptotic analysis for periodic perforated shells ⋮ Modeling of thin isotropic elastic plates with small piezoelectric inclusions and distributed electric circuits

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