Saint-Venant’s problem for Cosserat shells with voids

In this paper we investigate the mechanical behavior of Cosserat shells made from a material with voids. We formulate Saint-Venant’s problem for cylindrical shells and determine the solution of the relaxed problem. Then, we apply the theoretical results to study the deformation of circular cylindrical shells. We also compare the solution of Saint-Venant’s problem for Cosserat shells with corresponding results from the classical theory of shells.