11. Modeling I#

With modeling I, we are undertaking to validate option CHAR_MECA_FLUX for the HM- XFEM elements. G modeling is used as a reference.

11.1. Characteristics of modeling#

This modeling is an HM- XFEM modeling.

The characteristics are the same as for G modeling.

11.2. Characteristics of the mesh#

The initial mesh is the same as in the G model but the cube is cut in two by a vertical crack.

_images/1000000000000279000001C790A7DA4841C55073.jpg

11.3. The same boundary conditions are applied as in modeling G. In this modeling, the edge elements located on the upper and lower faces of the cube and on which the boundary conditions are applied are edge elements HM- XFEMnon that conform to the crack. They are then cut into sub-elements so as to be compatible with the crack. No load is applied to the crack.#

_images/100000000000067100000381E02DED9173082630.png

11.4. Quantities and tested results#

The minimum and maximum values of the pore pressure on the lower face and the upper face of the cube are tested with respect to the G modeling.

Quantities tested

Reference type

Reference value

Tolerance

PRE1 (top side) MIN

“AUTRE ASTER”

“1.20598944073E+16

1.0E-04

PRE1 (top side) MAX

“AUTRE ASTER”

“1.20598944073E+16

1.0E-04

PRE1 (bottom side) MIN

“AUTRE ASTER”

“1.20576822134E+16

1.0E-04

PRE1 (bottom side) MAX

“AUTRE ASTER”

“1.20576822135E+16

1.0E-04

These results, which are very similar to those obtained in the G modeling, ensure that the hydraulic behavior of the HM- XFEM elements is similar to the hydraulic behavior of the HM elements. In particular, option CHAR_MECA_FLUX is validated for HM- XFEM elements.