This paper presents a study of the stress analysis in cylindrical assemblies. For the present study we use a cylindrical assembly of two tubes. We write all the components of the stress field function of the Ϭ⁽¹⁾zz (z) stress in the first tube and then we introduce these components into the potential energy formulation. Our method is a variational method applied on the potential energy of deformation. The model can predict the intensity and the distributions of stresses in the assembly. We can also analyse the influence of some geometrical or material parameters on the stress field.