4. B modeling#
4.1. Characteristics of modeling#
This is a 3D_HM modeling using quadratic HM- XFEM elements.
4.2. Characteristics of the mesh#
The block on which the modeling is performed is divided into 25 HEXA20.
4.3. Tested quantities and results#
We test the value of the vertical movements for the nodes \(A\), \(A\text{'}\),,, \(B\),, \(B\text{'}\), \(C\) and \(C\text{'}\) on both sides of the interface. The tolerance is set to \({10}^{-6}\). These values are summarised in the table below:
Quantities tested |
Reference type |
Reference value |
Tolerance |
DZ (node A) |
“ANALYTIQUE” |
4.E-5 |
1, E-06 |
DZ (node A”) |
“ANALYTIQUE” |
4.E-5 |
1, E-06 |
DZ (Node B) |
“ANALYTIQUE” |
4.E-5 |
1, E-06 |
DZ (node B”) |
“ANALYTIQUE” |
4.E-5 |
1, E-06 |
DZ (Node C) |
“ANALYTIQUE” |
6.E-5 |
1, E-06 |
DZ (node C”) |
“ANALYTIQUE” |
6.E-5 |
1, E-06 |
DX (Node A) |
“ANALYTIQUE” |
-5.7E-5 |
1, E-06 |
DX (node A”) |
“ANALYTIQUE” |
-5.7E-5 |
1, E-06 |
DX (Node B) |
“ANALYTIQUE” |
-4.3E-5 |
1, E-06 |
DX (Node B”) |
“ANALYTIQUE” |
-4.3E-5 |
1, E-06 |
DX (Node C) |
“ANALYTIQUE” |
-4.7E-5 |
1, E-06 |
DX (node C”) |
“ANALYTIQUE” |
-4.7E-5 |
1, E-06 |
4.4. notes#
We also visualized the field of movement in direction \(z\) (Figure and Figure). It is checked that the bar behaves like a non-cracked bar.
Figure 4.4-a : Field of movement in direction (O x ) and deformed
Figure 4.4-b: Field of movement along the direction (Oz) and deformed