Elasto-plastic constitutive law coupled with thermal and metallurgical effects in solids
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.
Prepro: LARBTM.F
| Plane stress state | NO |
| Plane strain state | NO |
| Axisymmetric state | YES |
| 3D state | NO |
| Generalized plane state | YES |
| Line 1 (2I5, 60A1) | |
|---|---|
| IL | Law number |
| ITYPE | 350 |
| COMMENT | Any comment (up to 60 characters) that will be reproduced on the output listing |
| Line 1 (I5) | |
|---|---|
| NINTV | = number of sub-steps used to integrate numerically the constitutive equation in a time step. |
| 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.
= 6 for the 3-D state
= 4 for the other cases.
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) | $\sigma_{zz}$ |
6
| 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 $=E_{to}$ |