6. Examples

The following tables describe some test cases using the TUYAU element.

6.1. Linear static analysis

SSLL101	Title: Hovgaard problem. Static analysis of three-dimensional pipes with bends Documentation V: [] Modelling: SSLL101D TUYAU_6M SEG3 SSLL101C TUYAU_3M SEG3 SSLL101E TUYAU_3M SEG4
SSLL106	Title: Straight tube subject to multiple loads. V Documentation: [] Models: SSLL106B TUYAU_3M SEG3 SSLL106E TUYAU_3M SEG4 SSLL106D TUYAU_6M SEG3 Loads: a pull, 2 shear forces, 2 bending moments, a twist and a pressure. It makes it possible to test displacements, nodal forces and stresses and deformations at Gauss points, compared to an analytical reference solution. The mesh used is the same for all four models. Models A and C use MECA_STATIQUE, while models B and D use STAT_NON_LINEpour resolution.
SSLX102	Title: Bended pipe. V Documentation: [] Modelling: SSLX102B TUYAU_3M SEG3 SSLX102C TUYAU_6M SEG3

6.2. Nonlinear static material analysis

SSNL503	Title: Elasto-plastic ruin of a thin bent pipe. Documentation V: [] Modelings: **SSNL503A TUYAU_3M SEG3 ;;**Loading**: thin bent pipe subjected to a bend in its plane and has an internal pressure with a shape effect.
SSNl106	Title: Beam embedded at one end and loaded by traction with linear work hardening or a moment of perfect plasticity. V Documentation: [] Models: SSNL106E TUYAU_3M SEG3 SSNL106F TUYAU_3M SEG4 SSNL106G TUYAU_6M SEG3 Loads: a pull, 2 shear forces, 2 bending moments, a twist and a pressure. Models A and C use MECA_STATIQUE, while models B and D use STAT_NON_LINEpour resolution.
HSNV100	Title: Thermoplasticity in simple traction of a pipe. V Documentation: [] Modelling: HSNV100C TUYAU_3M SEG3 HSNV100D TUYAU_6M SEG3

6.3. Modal analysis in dynamics

SDLX02	Title::Hovgaard problem. Dynamic analysis of three-dimensional pipes with bends. V Documentation: [] Models: SDLX02D TUYAU_3M SEG3 SDLX02F TUYAU_3M SEG4 SDLX02E TUYAU_6M SEG3
SDLL14	Title: Vibration mode of a thin pipe elbow. V Documentation: [] Models: SDLL14A TUYAU_3M SEG3 SDLL14C TUYAU_3M SEG4 SDLL14B TUYAU_6M SEG3

6.4. Nonlinear dynamic analysis

ELSA	Title: Nonlinear seismic analysis of a pipe line. Documentation V: [] Modelling: **ELSA01B TUYAU_3M SEG3 ELSA01C TUYAU_3M SEG4 ;;** Loads**: seismic excitation is imposed on the line. This leads to partial plasticization (1%) of the elbows only.