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Martensite Start Temperature Ms (Andrews)

Computes the Ms temperature, the point at which austenite starts transforming into martensite during quenching, using the linear Andrews equation: Ms(°C) = 539 − 423·C − 30.4·Mn − 17.7·Ni − 12.1·Cr − 7.5·Mo, with every content in mass percent. Nearly every element dissolved in austenite lowers Ms — cobalt and aluminium are the exceptions and raise it —, but carbon dominates by far: each 0.1 % of carbon drops Ms by 42 °C, nearly 14 times the effect of the same manganese content. Knowing Ms sets the martempering bath temperature, tells whether retained austenite will survive at room temperature, and predicts how severe the quenching stresses will be, because a low Ms makes the martensite expansion happen late, with the part already cold and rigid, and that is where cracks appear. The correlation is fitted to low-alloy steels with carbon up to roughly 0.6 %, and the page rejects compositions above 0.8 % carbon, where the extrapolation loses its footing. Enter the carbon, manganese, nickel, chromium and molybdenum contents.

Result

Ms Martensite Start Temperature by the Andrews Equation

The Ms point never shows up on a steel data sheet, yet it drives three quenching decisions: the martempering bath temperature, which sits just above it; how much retained austenite to expect at room temperature; and the cracking risk, because a low Ms pushes the martensite expansion to the end of cooling, when the part has gone cold and stiff and cannot accommodate the strain. Measuring Ms takes a dilatometer. Estimating it takes only the chemical composition from the heat certificate, and that is what this calculator does.

The Andrews equation is a straight line in five contents: Ms(°C) = 539 − 423·C − 30.4·Mn − 17.7·Ni − 12.1·Cr − 7.5·Mo, everything in mass percent. Each coefficient tells how many degrees Ms drops per 1 % of that element dissolved in austenite, and carbon dominates: 0.1 % carbon pulls Ms down by 42.3 °C, nearly 14 times the effect of 0.1 % manganese. With the defaults, a typical 4340 composition (0.40 C / 0.70 Mn / 1.80 Ni / 0.80 Cr / 0.25 Mo), the arithmetic reads 539 − 169.20 − 21.28 − 31.86 − 9.68 − 1.88 = 305.1 °C. The independent Steven-Haynes correlation, built on different coefficients, returns 298.8 °C for the same steel, and the measured Ms of 4340 is quoted between 285 and 300 °C.

The fit covers low-alloy steels with carbon up to roughly 0.6 %; the page accepts up to 1.2 %, but in that range real Ms falls less than linearly and the estimate turns pessimistic. Only elements dissolved in austenite count: chromium and molybdenum locked in undissolved carbides, after a short or cold austenitising soak, leave Ms where it was, so the number lands too low. Cobalt and aluminium, which raise Ms, and silicon have no field in this five-term form. Austenitic stainless, Hadfield steel, maraging alloys and cast irons fall outside. And Ms marks the start, never the finish: to learn how much has already transformed at a given temperature, use the Koistinen-Marburger model.

Frequently asked questions

Why is there no field for silicon, cobalt or aluminium?
Because this is the classic five-term Andrews form, fitted on carbon, manganese, nickel, chromium and molybdenum. Cobalt and aluminium work the other way and raise Ms; extended versions include them with a positive sign. Silicon has a small effect that different authors handle differently. On ordinary low-alloy steel the omission costs only a few degrees.
Which temperature should the martempering bath hold?
Common practice keeps the salt or hot oil bath slightly above the calculated Ms, typically 10 to 30 °C above, long enough for core and surface to even out, and only then air cools the part through the martensite range slowly and uniformly. That is how the transformation lag between core and skin, the source of quench cracks, gets cut down.
Does the result apply to stainless or tool steel?
No. The equation came from low-alloy engineering steels. Austenitic stainless grades sit below room temperature and carry chromium and nickel far outside the fitted range; tool steels run high carbon and high alloy and, worse, keep much of that alloy tied up in undissolved carbides, which the formula assumes to be in solution. Dilatometry is the answer there.

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Martensite Fraction (Koistinen-Marburger)

Computes the fraction of austenite already transformed into martensite when quenching stops at a given temperature, using the Koistinen-Marburger equation, f = 1 − e^(−0.011·(Ms − Tq)), where Ms is the martensite start temperature and Tq the temperature at which the part stopped cooling. The result is the percentage of martensite formed — whatever is missing from 100 % stays as retained austenite, which is soft, dimensionally unstable and able to transform later in service, distorting the part. Because the exponent is linear in the temperature difference, 63 °C below Ms already converts half the austenite, but 209 °C are needed to reach 90 % and the end of the transformation is asymptotic, never exact — which is precisely why precision parts get a cryogenic treatment after quenching. Enter the steel Ms temperature and the quench stop temperature.

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The results provided by this tool are for general informational and educational purposes only and do not constitute professional, financial, medical, legal, tax or accounting advice. Always confirm important decisions with a qualified professional and official sources.