5. Validation#

5.1. Incompressible elastic case#

Test SSLV130 (cf. [V3.04.130]) makes it possible to verify the validity of the modeling in the case of an incompressible elastic cylinder subjected to internal pressure. Its equivalent in large deformations also exists: test SSNV112 (cf. [V6.04.112]).

5.2. Elasto-plastic case#

The purpose of this example is to illustrate the contribution of incompressible modeling in the case where plastic deformations are important in relation to elastic deformations. For this purpose, an axisymmetrically notched specimen is studied, subject to forced displacement. The geometry and the load are shown in the figure below. The mesh consists of 548 TRI6.

_images/1003EA140000168800001E48C3A17A058B6BF512.svg

The behavior of the material is of the elastoplastic type with linear isotropic work hardening (VMIS_ISOT_LINE). The settings are as follows:

  • \(E\mathrm{=}200000\mathit{MPa}\)

  • \(\nu \mathrm{=}0.3\)

  • \({\sigma }_{y}\mathrm{=}200\mathit{MPa}\)

  • \({E}_{T}\mathrm{=}1000\mathit{MPa}\)

In figure suivante, we compare the constraint \({\sigma }_{\mathit{yy}}\) obtained on path \(\mathit{FC}\) (cf. [r3.06.08-fig-val1]) with the classical modeling AXIS and modeling AXIS_INCO_UPG.

_images/100D4752000041A100002E4DA558B7D4EEEE576A.svg

It can be seen very clearly that the solution obtained with the incompressible formulation makes it possible to get rid of parasitic oscillations.