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Function MAP_STEEL_GMDASH

  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.

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Provenance of Source Code

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

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Purpose

Estimate the derivative of MAP_STEEL_GMART. It is used by MAP_STEEL_MART in
estimating the volume fraction of martensite.

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Specification

DOUBLE PRECISION FUNCTION MAP_STEEL_GMDASH(VMART)

DOUBLE PRECISION VMART

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Description

MAP_STEEL_GMDASH estimates the derivative of MAP_STEEL_GMART:-

MAP_STEEL_GMDASH = 1/VMART(1 - VMART) + log(1 - VMART)/(VMART2)

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References

None supplied.

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Parameters

Input parameters

VMART - real
     VMART is the current estimate of the volume fraction of martensite.

Output parameters

MAP_STEEL_GMDASH - real
     MAP_STEEL_GMDASH is the estimated derivative of MAP_STEEL_GMART.

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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 VMART,MAP_STEEL_GMDASH,XGMD
       READ (5,*) VMART
       XGMD = MAP_STEEL_GMDASH(VMART)
       WRITE (6,*) XGMD
       STOP
       END

2. Program data

9.089D-02

3. Program results

0.5674566

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Auxiliary Routines

None.

Keywords

martensite

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

MAP Website administration / map@msm.cam.ac.uk

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