G.I. Rees,
Phase Transformations Group,
Department of Materials Science and Metallurgy,
University of Cambridge,
Cambridge, U.K.
Called by the function MAP_STEEL_WKINETIC in the calculation of the volume fraction of Widmanstätten ferrite or bainite formed, when the nucleation rate and growth rate are known.
Language: | FORTRAN |
Product form: | Source code |
The trapezium rule is used in the function MAP_STEEL_WKINETIC to calculate the volume fraction of Widmanstätten ferrite or bainite formed.
MAP_STEEL_YBB is used to calculate an element in the numerical integration for the case t < t_{c}, where:
where V_{max} is the maximum extent to which transformation to bainite or Widmanstätten ferrite is possible, G is the growth rate, rho is the plate tip radius, I is the nucleation rate, and S_{v} is the surface area of austenite grain boundary per unit volume.
None.
If the exponent in the expression for Y_{b} (see above) is less than -173 then Y_{b} is taken to be 1.
None.
DOUBLE PRECISION S, T, TC, X, YBBX, MAP_STEEL_YBB READ (5,*) S, T, TC, X YBBX = MAP_STEEL_YBB(S, T, TC, X) WRITE (6,10) YBBX 10 FORMAT ('YBB = ', D13.5) STOP END
0.45754D-03 0.27125D+02 0.95721D+01 0.39216D-01
YBB = 0.39769D-01
None.
trapezium rule
MAP originated from a joint project of the National Physical Laboratory and the University of Cambridge.
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