H.K.D.H. Bhadeshia,
Phase Transformations Group,
Department of Materials Science and Metallurgy,
University of Cambridge,
Cambridge, U.K.
A powerful suite of software for modelling of the thermodynamics and kinetics of solid-state transformations in steels. Calculates Widmanstatten, Bainite and Martensite start temperatures.
Language: | FORTRAN |
Product form: | Source code |
PROGRAM MAP_STEEL_MUCG73
DOUBLE PRECISION C(12),D(12),DDFTO(40),DIFFH(40),DT4(40)
DOUBLE PRECISION DXQ(40),SHEARH(40)
DOUBLE PRECISION A,AEQ,AFE,AFEH,AFEQ,AFE44,AH,AJ,AJH,AJ1,A1,A1H
DOUBLE PRECISION A44,BS,CONST,CORR,DAFE44,DA44,DFTO,DF441,DIFFT
DOUBLE PRECISION ETEQ,ETEQ2,F,FH,FPRO,FPROA,FSON,FTO,FTO400,F44
DOUBLE PRECISION GMAX,GMAXH,G9,G9400,H,H1,MS,MT,R,S,SHEART
DOUBLE PRECISION SLOPE,STRAIN,S1,T,TEQ,TEQ2,T10,T10H,T20
DOUBLE PRECISION T20H,T4,VOLF,V14,W,WH,WS,WS1,W1,X,XA
DOUBLE PRECISION XBAR,XBARH,XEQ,XEQ2,XH,XTO,XTO400,X1,X44
DOUBLE PRECISION MAP_STEEL_AFEG,MAP_STEEL_CG,MAP_STEEL_DAFEG
DOUBLE PRECISION MAP_STEEL_DCG,MAP_STEEL_ENERGY2,MAP_STEEL_FTO1
DOUBLE PRECISION MAP_STEEL_G91,MAP_STEEL_XALPH
INTEGER I,ID,J1,J2,J6,J5,J8,J9,J98,J99
MAP_STEEL_MUCG73 is a very powerful program for the modelling of transformations in steels. Many people use it to calculate a TTT diagram, but there is in fact an enormous amount of phase diagram and kinetic and thermodynamic information generated each time the program is run and this is written to the output unit. This program is essentially for any of the solid state phase transformations from austenite to martensite, bainite, WidmanstŠtten ferrite, allotriomorphic ferrite etc. The program is based on MAP_STEEL_MUCG46 but has been extended to include four additional elements: cobalt, copper, aluminium and tungsten.
The TTT diagram consists of two C-curves for the initiation of transformation [1]. The higher temperature C-Curve is for reconstructive ("diffusional") reactions such as allotriomorphic ferrite. The lower C-curve is for displacive reactions such as WidmanstŠtten ferrite, bainite and acicular ferrite [2, pp. 175-185 & 124-134, Chapter 6].
The program asks for compositions (in wt.%) of eleven constituents to be supplied. There are maximum and minimum limits imposed on each constituent as shown :-
Input Order |
Element | Max. (wt.%) | Min. (wt.%) |
---|---|---|---|
1 | Carbon | 2.0 | 0.001 |
2 | Silicon | 2.5 | 0.0 |
3 | Manganese | 3.5 | 0.0 |
4 | Nickel | 3.5 | 0.0 |
5 | Molybdenum | 1.5 | 0.0 |
6 | Chromium | 3.5 | 0.0 |
7 | Vanadium | 1.5 | 0.0 |
8 | Cobalt | 4.0 | 0.0 |
9 | Copper | 4.0 | 0.0 |
10 | Aluminium | 2.0 | 0.0 |
11 | Tungsten | 4.0 | 0.0 |
The program will return an error message and ask for the data to be entered again if these limits are exceeded.
The maximum number of different alloys which can be analysed in a single run is set by the variable J1 (currently 20).
Allowable composition ranges limited - see Description.
No information supplied.
None.
N/A - complete program
1 0.39 2.05 0.001 4.08 0.001 0.001 0.001 0.5 0.5 0.01 0.01
------------------------------------------------------------------------------------------------------------------------------- ******* NUMBER 1 ********* C= 0.3900 Si= 2.0500 Mn= 0.0010 Ni= 4.0800 Mo= 0.0010 Cr= 0.0010 V= 0.0010 Co= 0.5000 Cu= 0.5000 Al= 0.0100 W= 0.0100 C= 0.0176 Si= 0.0395 Mn= 0.0000 Ni= 0.0376 Mo= 0.0000 Cr= 0.0000 V= 0.0000 Co= 0.0046 Cu= 0.0043 Al= 0.0002 W= 0.0000 CARBON CONTENT= 0.01757 T10= 0.420581 T20= -0.305922 WGAMMA= 8702. MELTING TEMPERATURE OF DELTA FERRITE = 1793. KELVIN C= 0.0176 Si= 0.0281 Mn= 0.0000 Ni= 0.0171 Mo= 0.0000 Cr= 0.0000 V= 0.0000 Co= 99.9371 Cu= 0.0000 Al= 0.0000 W= 0.0000 ------------------------------------------------------------------------------------------------------------------------------- FPRO FPROA GMAX CTEMP X NUCLEUS FSON XEQ XEQ50 FTO XTO VOLF X44 XTO400 SHEART DIFFT -2464. -2697. -2957. 200. 0.24D-07 -2928. 0.1926 0.1913 -2077. 0.0709 0.9117 0.508D-01 0.0596 3 0.23D+05 0.30D+24 -2321. -2548. -2804. 220. 0.54D-07 -2779. 0.1867 0.1854 -1946. 0.0700 0.9088 0.481D-01 0.0565 5 0.57D+04 0.17D+22 -2190. -2411. -2668. 240. 0.12D-06 -2642. 0.1811 0.1797 -1843. 0.0684 0.9059 0.460D-01 0.0537 5 0.16D+04 0.15D+20 -2069. -2286. -2545. 260. 0.23D-06 -2516. 0.1757 0.1742 -1739. 0.0662 0.9029 0.442D-01 0.0512 5 0.51D+03 0.19D+18 -1953. -2164. -2423. 280. 0.44D-06 -2395. 0.1703 0.1688 -1639. 0.0634 0.8998 0.427D-01 0.0488 5 0.19D+03 0.36D+16 -1831. -2038. -2294. 300. 0.80D-06 -2267. 0.1646 0.1630 -1533. 0.0605 0.8964 0.408D-01 0.0461 5 0.80D+02 0.93D+14 -1691. -1891. -2143. 320. 0.14D-05 -2118. 0.1580 0.1564 -1405. 0.0567 0.8922 0.382D-01 0.0429 5 0.40D+02 0.34D+13 -1546. -1738. -1985. 340. 0.24D-05 -1961. 0.1510 0.1492 -1270. 0.0527 0.8872 0.353D-01 0.0393 5 0.23D+02 0.16D+12 -1425. -1611. -1854. 360. 0.39D-05 -1831. 0.1447 0.1429 -1161. 0.0497 0.8825 0.333D-01 0.0365 5 0.13D+02 0.98D+10 -1308. -1487. -1727. 380. 0.62D-05 -1703. 0.1383 0.1364 -1055. 0.0467 0.8771 0.316D-01 0.0337 5 0.86D+01 0.72D+09 -1194. -1367. -1602. 400. 0.95D-05 -1578. 0.1319 0.1298 -951. 0.0438 0.8712 0.298D-01 0.0312 4 0.61D+01 0.66D+08 -1083. -1249. -1485. 420. 0.14D-04 -1455. 0.1253 0.1231 -850. 0.0409 0.8646 0.282D-01 0.0284 5 0.45D+01 0.71D+07 -981. -1141. -1364. 440. 0.21D-04 -1343. 0.1189 0.1166 -758. 0.0382 0.8575 0.270D-01 0.0260 4 0.38D+01 0.94D+06 -881. -1035. -1251. 460. 0.30D-04 -1231. 0.1124 0.1100 -667. 0.0356 0.8494 0.258D-01 0.0244 3 0.33D+01 0.14D+06 -772. -919. -1126. 480. 0.42D-04 -1106. 0.1050 0.1025 -563. 0.0326 0.8389 0.241D-01 0.0220 4 0.33D+01 0.27D+05 -662. -800. -1000. 500. 0.59D-04 -978. 0.0971 0.0944 -456. 0.0294 0.8259 0.222D-01 0.0193 4 0.37D+01 0.61D+04 -556. -684. -872. 520. 0.80D-04 -852. 0.0890 0.0861 -351. 0.0270 0.8100 0.205D-01 0.0165 4 0.47D+01 0.16D+04 -458. -578. -751. 540. 0.11D-03 -734. 0.0809 0.0778 -253. 0.0249 0.7910 0.190D-01 0.0137 4 0.66D+01 0.52D+03 -374. -485. -646. 560. 0.14D-03 -629. 0.0733 0.0700 -168. 0.0227 0.7691 0.183D-01 0.0110 5 0.96D+01 0.18D+03 -306. -410. -567. 580. 0.18D-03 -544. 0.0667 0.0632 -103. 0.0209 0.7460 0.187D-01 0.0090 4 0.13D+02 0.63D+02 -244. -339. -475. 600. 0.23D-03 -461. 0.0601 0.0564 -40. 0.0191 0.7176 0.195D-01 0.0068 4 0.23D+02 0.29D+02 -175. -259. -378. 620. 0.30D-03 -365. 0.0521 0.0482 37. 0.0166 0.6740 0.182D-01 0.0040 5 0.53D+02 0.18D+02 -119. -191. -296. 640. 0.37D-03 -280. 0.0448 0.0406 0. 0.0144 0.6193 0.200D-01 0.0014 5 0.14D+03 0.12D+02 -76. -136. -220. 660. 0.46D-03 -209. 0.0383 0.0339 0. 0.0126 0.5533 0.259D-01 0.0000 2 0.47D+03 0.11D+02 -42. -90. -156. 680. 0.57D-03 -146. 0.0323 0.0277 0. 0.0108 0.4675 0.100D+12 0.0000 1 0.21D+04 0.14D+02 -18. -51. -97. 700. 0.69D-03 -87. 0.0265 0.0217 0. 0.0091 0.3491 0.100D+12 0.0000 1 0.18D+05 0.28D+02 -3. -18. -45. 720. 0.83D-03 -33. 0.0210 0.0160 0. 0.0075 0.1726 0.100D+12 0.0000 1 0.65D+06 0.20D+03 ***** FTO VERSUS TEMPERATURE **** WIDMANSTATTEN START TEMP RANGE= 0. C TO 720. C NUCLEATION LIMITED BAINITE START TEMP = 507. C MARTENSITE START TEMPERATURE = 356. C ------------------------------------------------------------------------------------------------------------------------------- -------------------------------------------------------------------------------------------------------------------------------
MAP_STEEL_GALGA
MAP_STEEL_GMAAX
MAP_STEEL_HETRO
MAP_STEEL_OMEGA2
MAP_STEEL_AFEG
MAP_STEEL_CG
MAP_STEEL_DAFEG
MAP_STEEL_DCG
MAP_STEEL_ENERGY2
MAP_STEEL_FTO1
MAP_STEEL_G91
MAP_STEEL_XALPH
MAP_UTIL_ANALY
MAP_UTIL_REED
MAP_UTIL_REEDI
Widmanstatten, bainite, martensite, start temperature
Download compiled executable for Windows
MAP originated from a joint project of the National Physical Laboratory and the University of Cambridge.
MAP originated from a joint project of the National Physical Laboratory and the University of Cambridge.