Modeling of rod-structures in nonlinear elasticity [Modélisation des structures-poutres en élasticité non linéaire.]

摘要

This Note deals with the modeling of a structure made of straight elastic rods whose thickness tends to 0. We show that, upon an adequate scaling, the infimum of the total elastic energy tends to the minimum of a functional which depends on fields defined on the centerlines of the rods.