v3.04.130 SSLV130 - Incompressible hollow cylinder#
Summary:
This test makes it possible to validate the almost incompressible elements in statics for a three-dimensional, axisymmetric or two-dimensional problem (plane deformations). We consider a hollow cylinder subjected to internal pressure. The material has a coefficient of POISSON equal to 0.4999 and the almost incompressible elements are used (modeling INCO_UPG and INCO_UP). In all modeling cases, the test is carried out by imposing or not imposing the perfect incompressibility condition if necessary (DDL_IMPO and GONF =0)
Five models are performed for this problem.
Modeling INCO_UPG is tested in the following configurations:
modeling \(A\): 3D modeling INCO_UPG with HEXA20;
modeling \(B\): 3D modeling_ INCO_UPGavec of TETRA10;
modeling \(E\): 3D modeling_ INCO_UPGavec of PENTA15;
modeling \(C\): modeling D_ PLAN_INCO_UPG with a mixed mesh TRIA6/QUAD8;
modeling \(D\): modeling AXIS_INCO_UPG with a mixed mesh TRIA6/QUAD8.
Modeling INCO_UP is tested in the following configurations:
modeling \(A\): 3D modeling INCO_UP with HEXA20;
modeling \(B\): 3D_ INCO_UPavec modeling of TETRA10 and with TETRA4;
modeling \(C\): modeling D_ PLAN_INCO_UP with a mixed mesh TRIA6/QUAD8 and with TRIA3;
modeling \(D\): modeling AXIS_INCO_UP with a mixed mesh TRIA6/QUAD8 and with TRIA3.
Modeling INCO_UPO is tested in the following configurations:
modeling \(A\): 3D modeling INCO_UPO with HEXA8;
modeling \(B\): 3D modeling_ INCO_UPOavec of TETRA4;
modeling \(E\): 3D modeling_ INCO_UPOavec of PENTA6;
modeling \(C\): modeling D_ PLAN_INCO_UPO with a mixed mesh TRIA6/QUAD8;
modeling \(D\): modeling AXIS_INCO_UPO with a mixed mesh TRIA6/QUAD8.
This test is similar to test SSLV100.
The numerical results are satisfactory for all models. The fact of explicitly imposing the incompressibility condition has very little influence on the results. Linear elements for 2-field modeling are logically a bit less accurate than quadratic elements.