3. Modeling A#

3.1. Characteristics of modeling#

This is a D_ PLAN_HM modeling using quadratic HM- XFEM elements.

3.2. Characteristics of the mesh#

The block on which the modeling is performed is divided into 25 QUAD8.

3.3. Tested sizes and results#

We test the value of the vertical movements for the nodes \(A\), \(B\) and \(C\) which are located on each of the three interface branches. The tolerance is set to \({10}^{-6}\). These values are summarized in the table below:

Quantities tested

Reference type

Reference value

Tolerance

DY (node A)

“ANALYTIQUE”

4.E-5

1, E-06

DY (node B)

“ANALYTIQUE”

4.E-5

1, E-06

DY (node C)

“ANALYTIQUE”

6.E-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 C)

“ANALYTIQUE”

-4.7E-5

1, E-06

3.4. notes#

We also visualized the field of movement in the directions \(x\) and \(y\) (Figure and Figure). It is checked that the bar behaves like a non-cracked bar.

_images/10000000000004B2000002F3DC258A147A83DE20.png

Figure 3.4-a : Field of movement by direction (O x )

_images/10000000000004B2000002F38DBD58BB15E1B40A.png

Figure 3.4-b: Field of movement according to direction (Oy)