3. Modeling A#

3.1. Characteristics of modeling#

We use DKT elements.

3.2. Characteristics of the mesh#

The mesh contains 400 elements of type QUAD4.

_images/10000000000003200000025DFEA4B5315BBC97AE.png

Figure 4. Geometry meshing

3.3. Tested sizes and results#

It is proposed to record the values of the various quantity fields in line with the point “N2”, obtained at the intersection of the two lines” END “and” LOWER “; basically, it is the coordinate point (0.12000, -1500).

For this reason, we start by testing the values of the arrows and constrictions/elongations obtained, by comparing these values to the theoretical values proposed at the level of §2.2.

Identification

C value calculated (mm)

Relative error (%)

Point \(N2\) - \(\mathit{DZ}\)/Case “shearlD1”

-44.237

3.84

Point \(N2\) - \(\mathit{DZ}\)/Case “ShearlD2”

-88.474

3.84

Point \(N2\) - \(\mathit{DZ}\)/Case “shearlD3”

-132.711

3.84

Point \(N2\) - \(\mathit{DY}\)/Case “tractLD1”

0.437

6.92

Point \(N2\) - \(\mathit{DY}\)/Case “tractLD2”

0.874

1.81

Point \(N2\) - \(\mathit{DY}\)/Case “tractLD3”

1.311

1.44

Point \(N2\) - \(\mathit{DY}\)/Case “ComprLD1”

-0.655

2.17

Point \(N2\) - \(\mathit{DY}\)/Case “ComprLD2”

-1.311

1.44

It is then proposed to record the values taken by the component “DNSYI” of the reinforcement field at the level of the mesh encircling the node “N2” (in the command file, this mesh has the name of “EXTREMITE”):

Identification

Value c calculated (mm2)

Mesh \(\mathit{EXTREMITE}\) - \(\mathit{DNSXI}\)/Case “ShearlD1”

1.769

Mesh \(\mathit{EXTREMITE}\) - \(\mathit{DNSXI}\)/Case “ShearlD2”

1.559

Mesh \(\mathit{EXTREMITE}\) - \(\mathit{DNSXI}\)/Case “ShearlD3”

2.510

Mesh \(\mathit{EXTREMITE}\) - \(\mathit{DNSXI}\)/Case “tractLD1”

0.045

Mesh \(\mathit{EXTREMITE}\) - \(\mathit{DNSXI}\)/Case “tractLD2”

0.045

Mesh \(\mathit{EXTREMITE}\) - \(\mathit{DNSXI}\)/Case “tractLD3”

0.072

Mesh \(\mathit{EXTREMITE}\) - \(\mathit{DNSXI}\)/Cas” compLD1 “

0.051

Mesh \(\mathit{EXTREMITE}\) - \(\mathit{DNSXI}\)/Case “ComprLD2”

0.108

Mesh \(\mathit{EXTREMITE}\) - \(\mathit{DNSXI}\)/Case “COMB_DIME_ACIER”

2.510

Mesh \(\mathit{EXTREMITE}\) - \(\mathit{DNSXI}\)/Case “COMB_DIME_ORDRE”

3