3. Modeling A#
3.1. Modelling characteristics: d-plan (QUAD4 + TRIA3)#
Boundary conditions: |
|
side \(\mathrm{AB}\) |
|
side \(\mathrm{EF}\) |
|
press on the face \(\mathrm{AE}\) |
|
Node names: |
\(A=\mathrm{N23}\) |
|
|
\(D=\mathrm{N369}\) |
|
|
3.2. Characteristics of the mesh#
Number of knots: 759
Number of meshes and types: 704 TRIA3, 352 QUAD4
3.3. Tested sizes and results#
Location |
Size |
V Reference value |
Reference type |
Tolerance |
|
point \(A\) |
|||||
Field DEPL, comp. \(X\) |
5.7210-5 |
“ANALYTIQUE” |
1% |
||
Field DEPL, comp. \(Y\) |
“ANALYTIQUE” |
1E-10 (absolute) |
|||
Field SIGM_NOEU, comp. \(\mathit{SIXX}\) |
—60. |
“ANALYTIQUE” |
5% |
||
Field SIGM_NOEU, comp. \(\mathit{SIYY}\) |
“ANALYTIQUE” |
5% |
|||
Field SIGM_NOEU, comp. \(\mathit{SIZZ}\) |
“ANALYTIQUE” |
5% |
|||
Field SIGM_NOEU, comp. \(\mathit{SIXY}\) |
“ANALYTIQUE” |
2 (absolute) |
|||
\(B\) |
|||||
Field DEPL, comp. \(X\) |
3.6410-5 |
“ANALYTIQUE” |
1% |
||
Field DEPL, comp. \(Y\) |
“ANALYTIQUE” |
1E-10 (absolute) |
|||
Field SIGM_NOEU, comp. \(\mathit{SIXX}\) |
“ANALYTIQUE” |
2 (absolute) |
|||
Field SIGM_NOEU, comp. \(\mathit{SIYY}\) |
“ANALYTIQUE” |
5% |
|||
Field SIGM_NOEU, comp. \(\mathit{SIZZ}\) |
“ANALYTIQUE” |
8% |
|||
Field SIGM_NOEU, comp. \(\mathit{SIXY}\) |
“ANALYTIQUE” |
1 (absolute) |
|||
\(C\) |
|||||
Field DEPL, comp. \(X\) |
5.2845910—5 |
“ANALYTIQUE” |
1% |
||
Field DEPL, comp. \(Y\) |
2.1889510—5 |
“ANALYTIQUE” |
1% |
||
Field SIGM_NOEU, comp. \(\mathit{SIXX}\) |
-36.56854 |
“ANALYTIQUE” |
5% |
||
Field SIGM_NOEU, comp. \(\mathit{SIYY}\) |
76.56854 |
“ANALYTIQUE” |
5% |
||
Field SIGM_NOEU, comp. \(\mathit{SIZZ}\) |
“ANALYTIQUE” |
5% |
|||
Field SIGM_NOEU, comp. \(\mathit{SIXY}\) |
-56.56854 |
“ANALYTIQUE” |
5% |
||
\(D\) |
|||||
Field DEPL, comp. \(X\) |
3.3629210—5 |
“ANALYTIQUE” |
1% |
||
Field DEPL, comp. \(Y\) |
1.3929710—5 |
“ANALYTIQUE” |
1% |
||
Field SIGM_NOEU, comp. \(\mathit{SIXX}\) |
5.85786 |
“ANALYTIQUE” |
20% |
||
Field SIGM_NOEU, comp. \(\mathit{SIYY}\) |
34.14214 |
“ANALYTIQUE” |
5% |
||
Field SIGM_NOEU, comp. \(\mathit{SIZZ}\) |
“ANALYTIQUE” |
1% |
|||
Field SIGM_NOEU, comp. \(\mathit{SIXY}\) |
-14.14213 |
“ANALYTIQUE” |
8% |
||
\(E\) |
|||||
Field DEPL, comp. \(X\) |
4.0446510—5 |
“ANALYTIQUE” |
1% |
||
Field DEPL, comp. \(Y\) |
4.0446510—5 |
“ANALYTIQUE” |
1% |
||
Field SIGM_NOEU, comp. \(\mathit{SIXX}\) |
“ANALYTIQUE” |
5% |
|||
Field SIGM_NOEU, comp. \(\mathit{SIYY}\) |
“ANALYTIQUE” |
6% |
|||
Field SIGM_NOEU, comp. \(\mathit{SIZZ}\) |
“ANALYTIQUE” |
1% |
|||
Field SIGM_NOEU, comp. \(\mathit{SIXY}\) |
-80. |
“ANALYTIQUE” |
5% |
||
\(F\) |
“ANALYTIQUE” |
||||
Field DEPL, comp. \(X\) |
2.5738710—5 |
“ANALYTIQUE” |
1% |
||
Field DEPL, comp. \(Y\) |
2.5738710—5 |
“ANALYTIQUE” |
1% |
||
Field SIGM_NOEU, comp. \(\mathit{SIXX}\) |
“ANALYTIQUE” |
7% |
|||
Field SIGM_NOEU, comp. \(\mathit{SIYY}\) |
“ANALYTIQUE” |
5% |
|||
Field SIGM_NOEU, comp. \(\mathit{SIZZ}\) |
“ANALYTIQUE” |
5% |
|||
Field SIGM_NOEU, comp. \(\mathit{SIXY}\) |
-20. |
“ANALYTIQUE” |
5% |
3.4. notes#
The increase in the error, when we go from \(\mathrm{AB}\) to \(\mathrm{CD}\) and then \(\mathrm{EF}\), is due to the mesh (element density QUAD4 lower than in TRIA3).