Computational homogenization of periodic beam-like structures

Patrice Cartraud (1) , Tanguy Messager (1)

1 GeM - Institut de Recherche en Génie Civil et Mécanique

This paper is concerned with the computation of the effective elastic properties of periodic beam-like structures. The homogenization theory is used and leads to an equivalent anisotropic Navier-Bernoulli-Saint-Venant beam. The overall behavior is obtained from the solution of basic cell problems posed on the three-dimensional period of the structure and solved using three-dimensional finite element implementation. This procedure is first applied to two corrugated zigzag and sinus beams subjected to in-plane loading. Next, the axial elastic properties of a stranded '6 + 1' wire-cable are computed. The effective properties values obtained appear to be very close to analytical reference results showing the efficiency of the approach.

Mots clés: Homogenization; Effective properties; Beam; Finite element method; Cable

Domaines: Mécanique [physics.med-ph]; Matériaux

Patrice Cartraud, Tanguy Messager. Computational homogenization of periodic beam-like structures. International Journal of Solids and Structures, 2006, 43 (34), pp.686-696. ⟨10.1016/j.ijsolstr.2005.03.063⟩. ⟨hal-01005985⟩