  In this paper we study the asymptotic behaviour via Gamma-convergence of some
integral functionals which model some multi-dimensional structures and depend
explicitly on the linearized strain tensor. The functionals are defined in
particular classes of functions with bounded deformation while the limit
problem is set in the usual framework of Sobolev spaces or BD. We also
construct an example of such functionals showing that under some special
assumptions we can have non local effects.
