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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 67
COMPUTATIONAL TECHNIQUES FOR MATERIALS, COMPOSITES AND COMPOSITE STRUCTURES Edited by: B.H.V. Topping
Paper VII.4
A Continuum based 3D-Shell Element for Computation of Laminated Structures and Finite Strain Plasticity Problems S. Klinkel+, W. Wagner+ and F. Gruttmann#
+Institut für Baustatik, Universität Karlsruhe TH, Karlsruhe, Germany
S. Klinkel, W. Wagner, F. Gruttmann, "A Continuum based 3D-Shell Element for Computation of Laminated Structures and Finite Strain Plasticity Problems", in B.H.V. Topping, (Editor), "Computational Techniques for Materials, Composites and Composite Structures", Civil-Comp Press, Edinburgh, UK, pp 297-310, 2000. doi:10.4203/ccp.67.7.4
Abstract
In this paper a continuum based 3D-shell element for the
nonlinear analysis of laminated shell structures is derived.
The basis of the present finite element formulation
is the standard 8-node brick element with tri-linear
shape functions. Especially for thin structures under certain
loading cases the displacement based element is too
stiff and tends to lock. Therefore we use assumed natural
strain and enhanced assumed strain methods to improve
the relative poor element behaviour. The anisotropic material
behaviour of layered shells is modeled using a linear
elastic orthotropic material law in each layer. Furthermore,
a physical noulinear material law for finite strain J2-plasticity is implemented. It is based on a multiplicative
split of the deformation gradient in an elastic and plastic
part. Preserving the special interpolations of shear and
thickness strains of the Green-Lagrangean strain tensor,
a Lagrangean formulation of the flow rule and the elastoplastic
tangent modul is introduced. Linear and nonlinear
examples show the applicability and effectivity of the element
formulation.
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