Table of Contents

META

Description

Constitutive law of metallurgical phase transformations in solids without mechanical interaction (law called directly by PL8TM in Lagamine).

The model

Prediction of metallurgical phase transformations for a given evolution of the temperature field.

Files

Prepro: LMETA.F

Availability

Plane stress stateYES
Plane strain stateYES
Axisymmetric stateYES
3D stateYES
Generalized plane stateYES

Input file

Parameters defining the type of constitutive law

Line 1 (2I5, 60A1)
ILLaw number
ITYPE 312
COMMENT Any comment (up to 60 characters) that will be reproduced on the output listing.

Integer parameters

Line 1 (6I5)
NDPO Maximum degree of polynomials
NT1Maximum number of proeutectoid
NT2Temperatures in the pearlite
NT3Data tables related to bainite
IJKLPhase code:
= 0 the phase does not exist
= 1 the phase can appear
I = proeutectoid
J = pearlite
K = bainite
L = martensite
IMETACode defining the order of the material parameters

Real parameters

Line 1 (2G10.0)
ALAMBinitial heat conductivity ($\lambda_o$)
RHOCinitial 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.

Number of stresses

5

Meaning

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

State variables

Number of state variables

6

List of state variables

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)

Special file

See Appendix 12: *.MET file