Homogenization of the anisotropic heterogeneous linearized elasticity system in thin reticulated structures
Juan Casado‐Díaz, Manuel Luna‐Laynez · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2004
The aim of this paper is to study the asymptotic behaviour of the solutions of the linearized elasticity system, posed on thin reticulated structures involving several small parameters. We show that this behaviour depends on the relative size of the parameters. In each case, we obtain a limit system where the microstructure and macrostructure appear simultaneously. From it, we get a suitable approximation in L2 of the displacements and the linearized strain tensor.