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International Journal for Multiscale Computational Engineering
Facteur d'impact: 1.016 Facteur d'impact sur 5 ans: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Imprimer: 1543-1649
ISSN En ligne: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v3.i3.50
pages 313-336

Membrane-Bending Coupling in Laminated Shells: Asymptotics and Implementation

H. Ranarivelo
Laboratoire de Mecanique, Modelisation Mathematique et numerique, Universite de Caen, BP 5186,14032 Caen, France
J. Sanchez-Hubert
Laboratoire de Modelisation en Mecanique, Universite Pierre et Marie Curie (Paris VI), 4 place Jussieu, 75252 Paris, France

RÉSUMÉ

Generalized elasticity coefficients including membrane-bending coupling terms appear in thin (i.e., with very small relative thickness) shell theory when the material is heterogeneous. In this paper, we give a method to compute coefficients in the case of multilayered shells. A new program is implemented in the finite element code Modulef The numerical experiments are concerned with inhibited (i.e., such that the middle surface S with kinematic boundary conditions is geometrically rigid or, equivalently, that the boundary conditions are such that S does not admit “pure bending,” i.e., displacements keeping the length invariant on S) multilayered thin shells with hyperbolic middle surface involving a composite material with unidirectional fibers. The model considered here is that deduced from asymptotic theory. Two different cases of loading are considered. We observe that the presence of anisotropy modifies the quantitative results obtained for an isotropic homogeneous material, but not the qualitative trends of the solutions.


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