18. P modeling

Validation of the implementation of law CZM_TAC_MIX in formulation X- FEM. We are testing the opening mode. This modeling is an adaptation to X- FEM of the \(G\) modeling.

18.1. Characteristics of modeling

The line of discontinuity is modelled by an X- FEM interface, which is introduced into the model by the DEFI_FISS_XFEM operator, with TYPE_DISCONTINUITE =” INTERFACE “. This line crosses the block from one end to the other. It is located at a distance \(\mathrm{0,4}\) from the left edge and crosses the elements (see fig.2). The interface is said to be non-compliant.

The contact elements are introduced by the discretization CONTACT =” STANDARD “in the operator MODI_MODELE_XFEM.

The cohesive law is then defined in the operator DEFI_CONTACT, by the keywords ALGO_CONT =” CZM “and RELATION =” CZM_TAC_MIX”.

Surface elements are of type D_ PLAN.

18.2. Characteristics of the mesh

The square is discretized at the rate of \(4\) elements per side. Therefore:

Number of elements, type HEXA8: 16

Number of knots: 65.

18.3. Tested sizes and results

The remark on control mentioned for modeling A also applies to this modeling. Strictly speaking, no longer having any interface elements in the model, we replace the tests on SIGN and SIGTX by tests on the contact multipliers X- FEM LAGS_C and LAGS_F1 respectively.

Fashion \(I\)

Size tested	Reference	Tolerance ( \(\text{\%}\) )
ETA_PILO	8.29181D-01	0.10
DXsur node 2	2.16506D-08	0.10
SIXXsur mesh 32	7.37899D-01	0.10
LAGS_Csur node 9	3.47849D-01	0.10
LAGS_F1sur node 9	0.D+00	0.10