Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.554 SNIP: 0.82 CiteScore™: 2

ISSN Print: 1543-1649
ISSN Online: 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

ABSTRACT

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.


Articles with similar content:

Adiabatic Shear Band Localizations in BCC Metals at High Strain Rates and Various Initial Temperatures
International Journal for Multiscale Computational Engineering, Vol.5, 2007, issue 3-4
Farid H. Abed, George Voyiadjis
HIGH-FREQUENCY APPROXIMATION OF PLANE WAVE PROPAGATION IN AN ELASTIC MEDIUM WITH PERIODIC DISTRIBUTION OF CRACKS
Composites: Mechanics, Computations, Applications: An International Journal, Vol.8, 2017, issue 4
Alexey Talonov, Viktoria L. Savatorova, Alexander N. Vlasov
DEFORMATION OF A THIN LAYER THAT IS BONDED TO A MASSIVE SUBSTRATE IN THE THEORY OF THERMOELASTIC MATERIALS WITH VOIDS
Nanoscience and Technology: An International Journal, Vol.5, 2014, issue 1
Yury Solyaev, Sergey A. Lurie
ON THE HOMOGENEITY HYPOTHESIS, SCALE PARAMETERS OF LENGTH, AND ON THE EDGE EFFECT FOR THE ISOTROPIC COSSERAT CONTINUUM
Composites: Mechanics, Computations, Applications: An International Journal, Vol.2, 2011, issue 1
A. A. Adamov
FREE VIBRATION PROPERTY ANALYSIS OF COMPOSITE LAMINATED MICROPLATES BASED ON DIFFERENT HYPOTHESES IN COUPLE STRESS CONSTITUTIVE EQUATIONS
International Journal for Multiscale Computational Engineering, Vol.16, 2018, issue 2
Shengqi Yang, Shutian Liu