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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 33
DEVELOPMENTS IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING
Edited by: B.H.V. Topping
Paper IX.2

Continuum Modeling of Lattice Structures in Large Displacement Framework

G. Moreau and D. Caillerie

Laboratory of Soils, Solids and Structures, University of Grenoble, Grenoble, France

Full Bibliographic Reference for this paper
G. Moreau, D. Caillerie, "Continuum Modeling of Lattice Structures in Large Displacement Framework", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 245-252, 1995. doi:10.4203/ccp.33.9.2
Abstract
We consider a very large periodic truss call lattices structures. In classical calculus, the periodic truss character and his global geometric are forgotten. With the homogenization method that we have developed, the lattice is replace by a continuum model which approaches in a certain sense the real structure. This is true when the number of constitutive cells becomes large. The homogenization method had been developed in linear static case and in free vibration. This paper generalizes it for the large displacement assumption. The truss equilibrium is written on the unknown deformed configuration.

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