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Constitutive law of metallurgical phase transformations in solids without mechanical interaction (law called directly by PL8TM in Lagamine).
Prediction of metallurgical phase transformations for a given evolution of the temperature field.
Prepro: LMETA.F
Plane stress state | YES |
Plane strain state | YES |
Axisymmetric state | YES |
3D state | YES |
Generalized plane state | YES |
Line 1 (2I5, 60A1) | |
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IL | Law number |
ITYPE | 312 |
COMMENT | Any comment (up to 60 characters) that will be reproduced on the output listing. |
Line 1 (6I5) | |
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NDPO | Maximum degree of polynomials |
NT1 | Maximum number of proeutectoid |
NT2 | Temperatures in the pearlite |
NT3 | Data tables related to bainite |
IJKL | Phase code: = 0 the phase does not exist = 1 the phase can appear I = proeutectoid J = pearlite K = bainite L = martensite |
IMETA | Code defining the order of the material parameters |
Line 1 (2G10.0) | |
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ALAMB | initial heat conductivity ($\lambda_o$) |
RHOC | initial heat capacity per unit volume ($\rho c_o$) |
These parameters are to be given at the initial temperature and for the initial metallurgical composition of the solid.
5
SIG(1) | current volume fraction of austenite |
SIG(2) | current volume fraction of proeutectoïd |
SIG(3) | current volume fraction of pearlite |
SIG(4) | current volume fraction of bainite |
SIG(5) | current volume fraction of martensite |
6
Q(1) | SCHEIL's sum |
Q(2) | current hardness |
Q(3) | heat generated by phase transformations |
Q(4) | current heat conductivity ($\lambda$); its initial value is $\lambda_o$ |
Q(5) | current heat capacity per unit volume ($\rho_o$); its initial value is $\rho c_o$ |
Q(6) | incubation code = 0 : SCHEIL's sum computed normally = 1 : SCHEIL's sum multiplied by a germination factor (FINCU) |
File number = 35 ; Generally called *IN.MET
This *.met file is read in the Prepro by METLAW.F
This file contains all the data necessary to use effectively the laws META and THMET. It must always exist to perform a metallurgical thermal analysis. Sections 1. Title to 5. Description of TTT diagram are repeated with increasing ILAWN if more than one steel is described.
Title (A70) | |
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Any comment that will be reproduced on the output listing. Try to characterise your steel (60NCD11, ARBED, 42CD4, …) |
General data (10I5, G10.0, 2I5) | |
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ILAWN | Number of the steel described. This number is entered under the reference number IMETA by the law META |
IMPER | = 0 No impression = 1 Impression on file number 36 generally called *IN.OUM |
NTPCA | = 8; Number of parameters in section Characteristic temperature |
NPA | = 5; Number of parameters described by polynomials (section Parameters described by polynomials of temperature |
NDPO | Maximum degree of polynomials (maximum value = 7) |
NVM | = 0 No mechanical parameters described |
NT1 | Maximum number of proeutectoid |
NT2 | temperatures in pearlite |
NT3 | the data tables related to bainite |
NTEMP | No mechanical parameters depending on the temperature |
DT | Temperature used during the simulation = temperature given in the .MET file + DT (a non-null value can be used if the temperature values in the .DAT file are expressed sing an unity that is different from the temperatures in the .MET file, for instance celcius in one file and Kelvin in the other) |
IPOLY | 1 Thermo-physical parameters $\lambda, \rho, C, H_v$ and L are given as polynomials function of the temperature. (see Parameters described by polynomials of temperature) 0 Thermo-physical parameters $\lambda, \rho, C, H_v$ and L are given as data tables, functions of the temperature (see Parameters described by polynomials of temperature) The preprocessor displays explicit information on-screen about this parameter. |
IET | = 1: Definition of the tangent modulus according to the strain level for each phase and temperature |
If IET = 1 (I5) | |
NEPS | Number of strain level definition |
Remark: Some values are already defined in Integer parameters, pay attention to give the same value. Values as NTPCA, NPA, NVM, NTEMP are defined a first time automatically in LAWPRE. If you want to change these values, change also in the FORTRAN source file called LMETA.F.
Title (A5) | |
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Title | TPCAR written in columns 1 to 5 |
Parameters (7G10.0) | |
$A_3$ or $A_{cm}$ | $A_3$: equilibrium temperature for the beginning of the ferrite transformation $A_{cm}$:equilibrium temperature for the beginning of the cementite transformation |
$A_1$ | equilibrium temperature for the eutectoïd transformation |
TH | Under the temperature TH, the pearlitic transformation is not preceded by the proeutectoïd transformation |
$B_s$ | Temperature of the possible beginning of the bainitic transformation |
$B_f$ | Under this temperature the bainitic transformation is complete |
$M_s$ | Beginning temperature for the martensite transformation |
AM | Coefficient of the Marburger law for the martensite transformation |
FINCU | If no transformation has occurred when the temperature $B_s$ is reached, the SCHEIL's sum is multiplied by FINCU (generally FINCU = 0.0) |
All the characteristic temperatures are defined on the figure below:
Title (A5) | |
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TITLE | STLVL in the first 5 columns |
Line 1 - repeated NEPS times (G10.0) | |
EPS | Strain level |
Title (A5) | |
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Title | POCOE written from columns 1 to 5 |
If IPOLY =1
Parameter definition (A5) | |
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A1∴A2 | See explanation below |
Polynomial coefficients (NDPO G10.0) | |
A(I) I=1,NDPO+1 | See explanation below |
End of section | |
The end of this section is detected by writing “FI” followed by a blank card |
The conductivity $\lambda$, the mass density $\rho$, the heat capacity C and the hardness$ H_v$ have to be defined for each phase. The latent heat L is defined for each transformation. You can choose the order in which you want to define these parameters:
If IPOLY = 0
One must write FI followed by a blank card.
If input parameters (temperature dependent) are given as a table, all the tables must have the same length. Otherwise, it does not work properly.
The three phases : Proeutectoïd (PROEU). Pearlite (PERLI) and bainite (BAINI) have to be described successively by the sections detailed hereafter. The order PROEU, then PERLI, then BAINI must be respected.
Title (A5) | |
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TITLE | PROEU or PERLI or BAIN from columns 1 to 5 |
Title (A5,I5) | |
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YMAXI | From columns 1 to 5 |
NTR | Number of temperatures used to describe the evolution of the maximal percentage of transformation with the temperature |
Repeat NTR times (2G10.0) | |
TEMPE | Temperature |
YMAX | Maximal percentage |
Title (A5, I5) | |
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TITLE | TTPSD from columns 1 to 5 |
NTR | Number of temperatures used to describe the evolution of the beginning transformation time with the temperature (TTT diagram description) |
Repeat NTR times (2G10.0) | |
TEMPE | Temperature |
TPSDE | Beginning time of the transformation |
Title (A5, 2G10.0,I5) | |
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TITLE | TTPIS from columns 1 to 5 |
PINF | Lower percentage |
PSUP | Upper percentage |
NTR | Number of temperatures used to described the curve of the transformation of PINF and PSUP percent |
N.B.These data are used to complete n and b coefficients of the Johnson-Mehl-Avrami law
Remark : The NTR number must be limited by the data NT1, NT2 or NT3 given in section General data for each phase (PROEU, PEARLI or BAINI)
Repeat NTR times (3G10.0) | |
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TEMPE | Temperature |
TINF | |
TSUP |
Remark2 : Do not leave an empty card at the end of the *.met. Otherwise the Prepro will expect for another material.