Constitutive law for metallurgical phase transformations with mechanical interaction in solids.
This law is used for prediction of metallurgical phase transformations for a given evolution of the temperature field and of the mechanical field.
Prepro: LMETAM.F
| Plane stress state | YES |
| Plane strain state | YES |
| Axisymmetric state | YES |
| 3D state | YES |
| Generalized plane state | YES |
| Line 1 (2I5, 60A1) | |
|---|---|
| IL | Law number |
| ITYPE | 313 |
| COMMENT | Any comment (up to 60 characters) that will be reproduced on the output listing |
| Line 1 (9I5) | |
|---|---|
| IJKL | Phase code |
| = 0 : the phase do not exist | |
| = 1 : the phase can appear | |
| I = proeutectoïd J = pearlite K = bainite L = martensite |
|
| IMETA | Code defining the order of the material parameter |
| ISIG | Code defining the stress influencing the kinetics of phase transformations by diffusion |
| = 1 : choice of $\sigma_{max}$ | |
| = 2 : choice of $\sigma$ at the beginning of phase transformation | |
| = 3 : choice of updated $\sigma$ during the phase transformation | |
| Line 1 (7G10.0) | |
|---|---|
| ALAMB | Initial heat conductivity ($\lambda_0$) |
| RHOC | Initial heat capacity per unit volume ($\rho c_0$) |
| PH1 | Initial proportion of austenite [0,1] |
| PH2 | Initial proportion of proeutectoïd [0,1] |
| PH3 | Initial proportion of pearlite [0,1] |
| PH4 | Initial proportion of bainite [0,1] |
| PH5 | Initial proportion of martensite [0,1] |
ALAMB and RHOC are to be given at the initial temperature and for the initial metallurgical composition of the solid.
1
| SIG(1) | = 0 (meaningless) |
13
| Q(1) | Current proportion of austenite ; its initial value is PH1 |
| Q(2) | Current proportion of proeutectoïd ; its initial value is PH2 |
| Q(3) | Current proportion of pearlite ; its initial value is PH3 |
| Q(4) | Current proportion of bainite ; its initial value is PH4 |
| Q(5) | Current proportion of martensite ; its initial value is PH5 |
| Q(6) | SCHEIL's sum |
| Q(7) | Current hardness |
| Q(8) | Heat generated by phase transformation (=$q$) |
| Q(9) | Current heat conductivity ($\lambda$) ; its initial value is $\lambda_0$ |
| Q(10) | Current heat capacity per unite volume ($\rho c$) ; its initial value is $\rho c_0$ |
| Q(11) | Incubation code |
| = 0 : SCHEIL's sum computed normally | |
| = 1 : SCHEIL's sum multiplied by a germination factor (FINCU) | |
| Q(12) | Current value of the mean (hydrostatic) stress influencing the kinetics phase transformations by diffusion |
| Q(13) | Current equivalent (VON MISES) value of the stresses influencing the kinematics of phase transformations by diffusion |