.. _U3.11.06: **u3.11.06** Models TUYAU_3M and TUYAU_6M =============================================== **Summary:** This document describes for models TUYAU_3M and TUYAU_6M: * the degrees of freedom carried by the finite elements that support modeling, * the related support meshes, * the loads supported, * non-linear possibilities, * test cases implementing the models. The models TUYAU_3M and TUYAU_6M correspond to a formulation of linear elements of straight or curved pipes, which rely on Timoshenko beam kinematics for the movements and rotations of the average fiber and on a shell kinematics for the deformations of the cross section (ovalization, warping, swelling). These transverse deformations are broken down into Fourier series. Modeling TUYAU_3M takes into account a maximum of 3 modes, while modeling TUYAU_6M takes into account 6 Fourier modes. These models can be used for three-dimensional pipe problems in linear or non-linear mechanical analysis and in small displacements. .. toctree:: :hidden: self .. toctree:: :maxdepth: 2 :numbered: Discr_tisation Affectation_des_caract_ristiques Chargements_support_s Possibilit_s_non-lin_aires Exemples_de_mise_en__uvre___cas-tests