3. Modeling A#
3.1. Characteristics of modeling#
\(A\mathrm{=}\mathit{N4}\), \(B\mathrm{=}\mathit{N5}\), \(C\mathrm{=}\mathit{N13}\), \(D\mathrm{=}\mathit{N12}\).
3.2. Characteristics of the mesh#
Number of knots: 13
Number of meshes and types: 2 QUAD8 meshes, 6 SEG3 meshes.
3.3. Tested sizes and results#
Identification |
Reference Type |
Reference |
Tolerance ( \(\text{\%}\) ) |
\({\sigma }_{\mathit{zz}}\) \(t\mathrm{=}\mathrm{60s}\) |
|
4.0792E8 |
0.1 |
\({\epsilon }_{\gamma }^{\mathit{eff}}\) \(t\mathrm{=}\mathrm{60s}\) |
|
3.9604E-3 |
0.1 |
\({\epsilon }_{\alpha }^{\mathit{eff}}\) \(t\mathrm{=}\mathrm{60s}\) |
|
0.1 |
|
\({\epsilon }_{\mathit{xx}}^{\mathit{th}}\) \(t\mathrm{=}60s\) |
|
-6.0E-3 |
0.1 |
\({\epsilon }_{\mathit{xx}}^{\mathit{meca}}\) \(t\mathrm{=}60s\) |
|
-2.59208E-3 |
0.1 |
\({\epsilon }_{\mathit{xx}}^{\mathit{plas}}\) \(t\mathrm{=}60s\) |
|
-1.9802E-3 |
0.1 |
\({\sigma }_{\mathit{zz}}\) \(t\mathrm{=}\mathrm{89s}\) |
|
7.0684E8 |
0.80 |
\({\epsilon }_{\gamma }^{\mathit{eff}}\) \(t\mathrm{=}\mathrm{89s}\) |
|
3.9604E-3 |
0.1 |
\({\epsilon }_{\alpha }^{\mathit{eff}}\) \(t\mathrm{=}\mathrm{89s}\) |
|
0.1 |
|
\({\epsilon }_{\mathit{xx}}^{\mathit{th}}\) \(t=89s\) |
|
-7.49460E-3 |
0.5 |
\({\epsilon }_{\mathit{xx}}^{\mathit{meca}}\) \(t=89s\) |
|
-3.04046E-3 |
0.1 |
\({\epsilon }_{\mathit{xx}}^{\mathit{plas}}\) \(t=89s\) |
|
-1.9802E-3 |
0.3 |
\({\sigma }_{\mathit{zz}}\) \(t\mathrm{=}\mathrm{112s}\) |
|
9.4392E8 |
0.1 |
\({\epsilon }_{\gamma }^{\mathit{eff}}\) \(t\mathrm{=}\mathrm{112s}\) |
|
0.1 |
|
\({\epsilon }_{\alpha }^{\mathit{eff}}\) \(t\mathrm{=}\mathrm{112s}\) |
|
0.1 |
|
\({\epsilon }_{\mathit{xx}}^{\mathit{th}}\) \(t\mathrm{=}112s\) |
|
-8.68E-3 |
0.1 |
\({\epsilon }_{\mathit{xx}}^{\mathit{meca}}\) \(t\mathrm{=}112s\) |
|
-3.39608E-3 |
0.1 |
\({\epsilon }_{\mathit{xx}}^{\mathit{plas}}\) \(t\mathrm{=}112s\) |
|
-1.9802E-3 |
0.1 |
\({\sigma }_{\mathit{zz}}\) \(t\mathrm{=}\mathrm{176s}\) |
|
12.101E8 |
0.1 |
\({\epsilon }_{\gamma }^{\mathit{eff}}\) \(t\mathrm{=}\mathrm{176s}\) |
|
0.1 |
|
\({\epsilon }_{\alpha }^{\mathit{eff}}\) \(t\mathrm{=}\mathrm{176s}\) |
|
5.068921E-3 |
0.1 |
\({\epsilon }_{\mathit{xx}}^{\mathit{th}}\) \(t\mathrm{=}176s\) |
|
-1.508E-2 |
0.1 |
\({\epsilon }_{\mathit{xx}}^{\mathit{meca}}\) \(t\mathrm{=}176s\) |
|
-6.3298E-3 |
0.1 |
\({\epsilon }_{\mathit{xx}}^{\mathit{plas}}\) \(t\mathrm{=}176s\) |
|
-4.51465E-3 |
0.1 |
3.4. notes#
In this modeling:
\({\epsilon }_{\mathit{zz}}^{\mathit{pt}}(T,Z)=0\)
The error on \({\sigma }_{\mathit{zz}}\) at 89 seconds is in fact due to the error made in the numerical description of metallurgical transformation which is, at this moment, approximately \(56\text{\%}\).