A geometrically nonlinear Cosserat (micropolar) curvy shell model via gamma convergence

DOI10.1007/s00332-023-09906-0zbMath1524.74008arXiv2207.08541MaRDI QIDQ6174601

Patrizio Neff, Ionel-Dumitrel Ghiba, Maryam Mohammadi Saem

Publication date: 14 July 2023

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.08541

zbMATH Keywords

dimensional reductiongamma-convergenceCosserat shellgeneralized continuaCosserat theorynonlinear scalingmicrorotationsmicropolar shellmultiplicative splitcurved reference configurationmembrane shell model

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Energy minimization in equilibrium problems in solid mechanics (74G65) Shells (74K25) Kinematics of deformation (74A05) Micromechanical theories (74A60) Homogenization in equilibrium problems of solid mechanics (74Q05) Membranes (74K15)

Related Items (2)

A linear isotropic Cosserat shell model including terms up to \(O(h^5)\). Existence and uniqueness ⋮ A geometrically nonlinear Cosserat shell model for orientable and non-orientable surfaces: discretization with geometric finite elements

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