4. B modeling#

4.1. Characteristics of modeling#

This is a 3D_HM modeling using quadratic HM- XFEM elements. The column on which the modeling is performed is divided into 5 HEXA20. The interface is unmeshed and cuts off the central element. So we have 3 HM- XFEM elements and 2 classical HM elements (the two hexahedra that form the ends of the column). As indicated in the Figure, the 3 elements XFEM are subdivided into sub-tetrahedra (to perform the Gauss-Legendre integration on either side of the lips of the interface, but these tetrahedral sub-elements are not elements of the mesh).

Figure 4.1-a : Characteristics of modelling

_images/10000201000001F90000031D78A19AF7313F49D9.png

4.2. Characteristics of the mesh#

The mesh consists of 5 quadratic hexahedral cells (HEXA20).

4.3. Tested sizes and results#

The results (resolution with STAT_NON_LINE) are summarised in the table below. To test all the nodes of the bar at the same time, we calculate MIN and MAX.

Quantities tested

Reference type

Reference value

Tolerance (%)

PRE1 (Z=4mand Z=6m) MIN

“ANALYTIQUE”

8 MPa

0.001

PRE1 (Z=4mand Z=6m) MAX

“ANALYTIQUE”

8 MPa

0.001

LAG_FLI (below) MIN

“ANALYTIQUE”

4.07748 kg.m²/s

0.01

LAG_FLS (above) MAX

“ANALYTIQUE”

4.07748 kg.m²/s

0.01