Continuum Modeling of Lattice Structures in Large Displacement Framework

International audienceWe 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