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laws:metamec

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)
ILLaw 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

laws/metamec.txt · Last modified: 2020/08/25 15:46 (external edit)