Nonlinearly elastic shell models: A formal asymptotic approach. II: The flexural model
From MaRDI portal
Publication:1270666
DOI10.1007/s002050050096zbMath0906.73042OpenAlexW2060201914MaRDI QIDQ1270666
Bernadette Miara, Veronique Lods
Publication date: 3 November 1998
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002050050096
Related Items (18)
Analysis of multiplicity for a class of problems in calculus of variations ⋮ An introduction to differential geometry with applications to elasticity ⋮ A GEOMETRICALLY EXACT PLANAR COSSERAT SHELL-MODEL WITH MICROSTRUCTURE: EXISTENCE OF MINIMIZERS FOR ZERO COSSERAT COUPLE MODULUS ⋮ A geometric theory of nonlinear morphoelastic shells ⋮ NONLINEARLY ELASTIC THIN PLATE MODELS FOR A CLASS OF OGDEN MATERIALS II: THE BENDING MODEL ⋮ Asymptotic justification of equations for von Kármán membrane shells ⋮ Koiter's shell theory from the perspective of three-dimensional nonlinear elasticity ⋮ The continuity of a surface as a function of its two fundamental forms. ⋮ The isotropic Cosserat shell model including terms up to \(O(h^5)\). I: Derivation in matrix notation ⋮ Computing singular perturbations for linear elliptic shells ⋮ Enhanced models for the nonlinear bending of planar rods: localization phenomena and multistability ⋮ Nonlinearly elastic membrane model for heterogeneous plates: a formal asymptotic approach by using a new double scale variational formulation ⋮ A new approximate model of nonlinearly elastic flexural shell and its numerical computation ⋮ Transformation cloaking in elastic plates ⋮ Nonlinearly elastic membrane model for heterogeneous shells by using a new double scale variational formulation: A formal asymptotic approach ⋮ Two-Dimensional Nonlinear Shell Model of Koiter's Type with Variable Thickness ⋮ Derivation of a Hierarchy of Nonlinear Two-dimensional Models For Heterogeneous Plates ⋮ A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit. I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus
This page was built for publication: Nonlinearly elastic shell models: A formal asymptotic approach. II: The flexural model