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Subroutine MAP_STEEL_AVOLNEW

  1. Provenance of code.
  2. Purpose of code.
  3. Specification.
  4. Description of subroutine's operation.
  5. References.
  6. Parameter descriptions.
  7. Error indicators.
  8. Accuracy estimate.
  9. Any additional information.
  10. Example of code
  11. Auxiliary subroutines required.
  12. Keywords.
  13. Download source code.
  14. Links.

Provenance of Source Code

H.K.D.H. Bhadeshia and S.V. Parker,
Phase Transformations Group,
Department of Materials Science and Metallurgy,
University of Cambridge,
Cambridge, U.K.

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Purpose

To calculate the volume fraction of allotriomorphic ferrite formed during continuous cooling transformation from austenite, for random nucleation.

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Specification

Language:FORTRAN
Product form:Source code

SUBROUTINE MAP_STEEL_AVOLNEW(NEWVF, NEWVOL, ALP1, TIME, BI,
& XAGA, XGAG, XBAR, PI)

DOUBLE PRECISION NEWVF, NEWVOL, ALP1, TIME, BI, XAGA,
& XGAG, XBAR, PI

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Description

The extent of allotriomorphic ferrite reaction, NEWVOL, is calculated using the equation:

Equation

The actual volume of ferrite, NEWVF, is obtained by multiplication of NEWVOL by the equilibrium fraction of ferrite, OMEGA.

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References

  1. J.W. Cahn, Acta Metallurgica, 4, (1956), 449-459.

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Parameters

Input parameters

BI - real
BI is the ferrite random nucleation rate per unit volume (in m-3s-1).

TIME - real
TIME is the time since the start of cooling (in seconds).

ALP - real
ALP is the one-dimensional parabolic thickening rate constant (in ms-0.5).

ALP1 - real
ALP1 is the one-dimensional parabolic lengthening rate constant (in ms-0.5).

XBAR - real
XBAR is the mole fraction of carbon in the bulk austenite.

XAGA - real
XAGA is the mole fraction of carbon in ferrite at the alpha/alpha+gamma boundary.

XGAG - real
XGAG is the mole fraction of carbon in autenite at the gamma/gamma+alpha boundary.

PI - real
PI is pi.

Output parameters

NEWVF - real
NEWVF is the actual fraction of allotriomorphic ferrite formed.

NEWVOL - real
NEWVOL is the volume fraction of ferrite formed divided by the equilibrium volume fraction of ferrite.

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Error Indicators

None.

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Accuracy

No information supplied.

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Further Comments

None.

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Example

1. Program text

       DOUBLE PRECISION BI,TIME,ALP1,XBAR,XAGA,XGAG
       DOUBLE PRECISION PI,NEWVF,NEWVOL
       INCLUDE 'map_constants_pi.f'
       READ (5,*) BI,TIME,ALP1
       READ (5,*) XBAR,XAGA,XGAG
       CALL MAP_STEEL_AVOLNEW(NEWVF,NEWVOL,ALP1,TIME,BI,&
&      XBAR,XAGA,XGAG,PI)
       WRITE (6,*) NEWVF,NEWVOL
       STOP
       END

9.2 Program data

None supplied.

9.3 Program results

None supplied.

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Auxiliary Routines

None.

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Keywords

allotriomorphic ferrite, random nucleation

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Download

Download source code

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MAP originated from a joint project of the National Physical Laboratory and the University of Cambridge.

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