====== METAMEC ======

===== Description =====

Constitutive law for metallurgical phase transformations with mechanical interaction in solids.

==== The model ====

This law is used for prediction of metallurgical phase transformations for a given evolution of the temperature field and of the mechanical field.

==== Files ====

Prepro: LMETAM.F \\

===== Availability =====

|Plane stress state| YES|
|Plane strain state| YES|
|Axisymmetric state| YES|
|3D state| YES|
|Generalized plane state| YES|

===== Input file =====

==== Parameters defining the type of constitutive law ====

^ Line 1 (2I5, 60A1)^^
|IL|Law number|
|ITYPE| 313|
|COMMENT| Any comment (up to 60 characters) that will be reproduced on the output listing|

==== Integer parameters ====

^ 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 |

==== Real parameters ====

^ 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.


===== Stresses =====


==== Number of stresses ====

1

==== Meaning ====

|SIG(1)| = 0 (meaningless) |

===== State variables =====

==== Number of state variables ====

13

==== List of state variables ====

|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 |

===== MET file =====
See [[appendices:a12|Appendix 12: *.MET file]]