Abstract
This paper presents a refined model of the stress distribution in cylindrical assemblies. Compared to the first model developed by the authors, the present study takes into account the radial stress in the assembly, σ (i) rr(r). We first write all the components of the stress field function of the axial stress, σ (1) zz(z), in the first tube, and then we introduce these components into the potential energy formulation. We apply a variational method to the potential energy of deformation and solve the differential equation to obtain the minimum and at the same time the axial stress, σ (1) zz(z). This model predicts better the intensity and stress distributions in the assembly.