Nonlinear analysis of laminated shells with alternating stiff/soft lay-up
File(s)
Accepted version
Author(s)
Liang, Y
Izzuddin, BA
Type
Journal Article
Abstract
This paper proposes a multi-layer formulation for the nonlinear analysis of laminated shells with an alternating stiff/soft lay-up. The zigzag variation of planar displacements is taken into account by adding to the Reissner–Mindlin formulation a specific set of zigzag function which is effective for the considered lay-up. Furthermore, a piecewise linear through-thickness distribution of the material transverse shear strain is assumed, which agrees well with the real distribution. The proposed lamination model with a low-order nonlinear strain–displacement relationship is incorporated within a co-rotational framework for geometric nonlinear analysis, thus upgrading the low-order local element formulation to large displacement analysis with relative ease. In addition, a local shell system is employed for direct definition of the additional zigzag displacement fields and associated parameters, which are thus excluded from the large displacement co-rotational transformations. The application of the proposed laminated shell modelling approach is illustrated in this paper for a 9-noded co-rotational shell element, which utilises the Mixed Interpolation of Tensorial Components (MITC) method in the local system for overcoming locking effects. Several linear and nonlinear numerical examples of multi-layer shell structures with alternating stiff/soft lay-ups are used to illustrate the effectiveness and efficiency of the proposed modelling approach.
Date Issued
2015-08-17
Date Acceptance
2015-08-17
Citation
Composite Structures, 2015, 133, pp.1220-1236
ISSN
1879-1085
Publisher
Elsevier
Start Page
1220
End Page
1236
Journal / Book Title
Composite Structures
Volume
133
Copyright Statement
© 2015, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Subjects
Science & Technology
Technology
Materials Science, Composites
Materials Science
Multi-layer
Alternating stiff/soft lay-up
Zigzag effect
Transverse shear strain
Large displacement
SANDWICH PLATES
ZIGZAG FUNCTIONS
FINITE-ELEMENT
COMPOSITE
DEFORMATION
FORMULATION
MITC9
Publication Status
Published