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laws:arbthmet
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ARBTHMET
Description
Elasto-plastic constitutive law coupled with thermal and metallurgical effects in solids
The model
This law is only used for coupled thermal, metallurgical, mechanical analysis of solids submitted to heat flow, metallurgical phase changes and mechanical stresses and strains.
Files
Prepro: LARBTM.F
Availability
| Plane stress state | NO |
| Plane strain state | NO |
| Axisymmetric state | YES |
| 3D state | NO |
| Generalized plane state | YES |
Input file
Parameters defining the type of constitutive law
| Line 1 (2I5, 60A1) | |
|---|---|
| IL | Law number |
| ITYPE | 350 |
| COMMENT | Any comment (up to 60 characters) that will be reproduced on the output listing |
Integer parameters
| Line 1 (I5) | |
|---|---|
| NINTV | = number of sub-steps used to integrate numerically the constitutive equation in a time step. |
Real parameters
| Line 1 (2G10.0 ) | |
|---|---|
| RE | initial yield limit ($=R_{eo}$) |
| ET | initial élastomère-plastic tangent modules ($=E_{to}$) |
These data are to be given at the initial temperature and for the initial metallurgical composition of the solid. The other data are stored on a data file available to the pre‑processor. The description of this file is with the law METAMEC.
Stresses
Number of stresses
= 6 for the 3-D state
= 4 for the other cases.
Meaning
The stresses are the components of CAUCHY stress tensor in global (X,Y,Z) coordinates.
For the 3-D analysis :
| SIG(1) | $\sigma_{xx}$ |
| SIG(2) | $\sigma_{yy}$ |
| SIG(3) | $\sigma_{zz}$ |
| SIG(4) | $\sigma_{xy}$ |
| SIG(5) | $\sigma_{xz}$ |
| SIG(6) | $\sigma_{yz}$ |
For 2D analysis :
| SIG(1) | $\sigma_{xx}$ |
| SIG(2) | $\sigma_{yy}$ |
| SIG(3) | $\sigma_{xy}$ |
| SIG(4) | $\sigma_{zz}$ |
State variables
Number of state variables
6
List of state variables
| Q(1) | = element thickness (t) in plane stress state |
| = 1 in plane strain state | |
| = circumferential strain rate ($\dot{\varepsilon_{\theta}}$) in axisymmetric state | |
| = 0 in 3‑D state | |
| = element thickness (t) in generalized plane state | |
| Q(2) | current yield limit in tension, its initial value is $=R_{eo}$ |
| Q(3) | = 0 if the current state is elastic |
| = 1 if the current state is elasto‑plastic | |
| Q(4) | equivalent plastic strain due to mechanical effects ($\bar{\varepsilon}^p$) |
| Q(5) | equivalent plastic strain due to phase transformations ($\bar{\varepsilon}^{ph}$) |
| Q(6) | current value of the elasto‑plastic tangent modulus; its initial value is $=E_{to}$ |
laws/arbthmet.txt · Last modified: 2020/08/25 15:46 (external edit)
