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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 79
PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping and C.A. Mota Soares
Paper 203
Modeling of Sandwich Structures and Localisation of 3D Displacements and Stresses M. Guessasma, A. Saidi and P. Coorevits
Université de Picardie Jules Verne, Saint-Quentin, France Full Bibliographic Reference for this paper
M. Guessasma, A. Saidi, P. Coorevits, "Modeling of Sandwich Structures and Localisation of 3D Displacements and Stresses", in B.H.V. Topping, C.A. Mota Soares, (Editors), "Proceedings of the Seventh International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 203, 2004. doi:10.4203/ccp.79.203
Keywords: homogenisation, sandwich structure, orthotropic plate, shells.
Summary
The sandwich structures studied are made up of two thin sheets enclosing a given
type of core: longitudinal stiffeners, honeycomb or other. These structures are
characterized by a geometrical heterogeneity of their thickness, which makes their
3D modeling very difficult.
The heterogeneous three-dimensional (3D) structure is then replaced by an
orthotropic two dimensional (2D) layered plate structure, on which it will be
possible to perform calculations with reduced computing time. This transformation
is enabled by using the homogenisation method of periodic media based on
multi-scale asymptotic expansions [1,2]. A previous study [3] allowed us to determine the
overall effective behaviour of the equivalent plate by solving a set of six problems
posed on a Representative Elementary Volume R.E.V. These problems correspond
to the six elementary loadings constituting a basis for the generalized stresses
The localisation of the 3D stress solution
Due to their excellent mechanical performances, the sandwich shells are excellent candidates in many domains of industry. To model the equivalent behaviour of these structures, we have applied the homogenisation method of periodic media which has already been implemented for the sandwich plates. The equivalent model is an orthotropic layered shell made up of the superposition of three shells; it exactly reproduces the homogenised behaviour. The quality of the results given by this model is estimated by simulating several mechanical tests. The error indicators in terms of stress and displacement are then calculated. References
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