6. B modeling results#
6.1. Tested values#
Identification |
Reference |
Test |
Tolerance |
\({\epsilon }_{\mathit{yy}}\) \(t=60s\) |
—1.0309 10—2 |
|
|
\({\sigma }_{\mathit{zz}}\) \(t\mathrm{=}60s\) |
265.73 106 |
|
|
\(p\) \(t=60s\) |
5.7213 10—3 |
|
|
\({\epsilon }_{\mathit{yy}}^{\mathit{th}}\) \(t=60s\) |
-7.05 10—3 |
|
|
\({\epsilon }_{\mathit{yy}}^{\mathit{meca}}\) \(t=60s\) |
-3.2593 10—3 |
|
|
\({\epsilon }_{\mathit{yy}}^{\mathit{plas}}\) \(t=60s\) |
-2.8607 10—3 |
|
|
\({\epsilon }_{\mathit{yy}}\) \(t=89s\) |
—1.0325 10—2 |
|
|
\(p\) \(t\mathrm{=}89s\) |
5.7213 10—3 |
|
|
\({\sigma }_{\mathit{zz}}\) \(t\mathrm{=}89s\) |
—13.545 106 |
|
|
\({\epsilon }_{\mathit{yy}}^{\mathit{th}}\) \(t=89s\) |
-6.8751 10—3 |
|
|
\({\epsilon }_{\mathit{yy}}^{\mathit{meca}}\) \(t=89s\) |
-3.4511 10—3 |
|
|
\({\epsilon }_{\mathit{yy}}^{\mathit{plas}}\) \(t=89s\) |
-3.4714 10—3 |
|
|
\({\varepsilon }_{\mathit{yy}}\) \(t=112s\) |
—8.9197 10—3 |
|
|
\({\sigma }_{\mathit{zz}}\) \(t\mathrm{=}112s\) |
101.39 106 |
|
|
\(p\) \(t\mathrm{=}112s\) |
5.7213 10—3 |
|
|
\({\epsilon }_{\mathit{yy}}^{\mathit{th}}\) \(t\mathrm{=}112s\) |
-5.8800 10—3 |
|
|
\({\epsilon }_{\mathit{yy}}^{\mathit{meca}}\) \(t\mathrm{=}112s\) |
-3.0413 10—3 |
|
|
\({\epsilon }_{\mathit{yy}}^{\mathit{plas}}\) \(t\mathrm{=}112s\) |
-3.1934 10—3 |
|
|
\({\varepsilon }_{\mathit{yy}}\) \(t=176s\) |
—1.5884 10—2 |
|
0.04% |
\(p\) \(t\mathrm{=}176s\) |
9.3610 10—2 |
|
|
\({\sigma }_{\mathit{zz}}\) \(t\mathrm{=}176s\) |
130.72 106 |
|
|
\({\epsilon }_{\mathit{yy}}^{\mathit{th}}\) \(t\mathrm{=}176s\) |
-1.068 10—2 |
|
|
\({\epsilon }_{\mathit{yy}}^{\mathit{meca}}\) \(t\mathrm{=}176s\) |
-5.2093 10—3 |
|
|
\({\epsilon }_{\mathit{yy}}^{\mathit{plas}}\) \(t\mathrm{=}176s\) |
-5.0132 10—3 |
|
|
6.2. notes#
In this modeling, the term due to transformation plasticity is taken into account:
\({\dot{\epsilon }}^{\mathit{pt}}(Z,T)\ne 0\) when \(\dot{Z}\mathrm{\ne }0\)
The reference solution is obtained by the numerical resolution of the problem with axisymmetric elements for which the condition of plane deformations is imposed.