WRC-1992 chromium and nickel equivalents

Austenitic and duplex stainless steel weld metal is not single phase. A controlled amount of delta ferrite retained in the austenite matrix is what stops solidification cracking, because ferrite dissolves sulphur and phosphorus that would otherwise segregate to the austenite grain boundaries as low-melting films. Too little ferrite and the weld cracks; too much and toughness, corrosion resistance and — after long service above roughly 400 °C — ductility all fall away as sigma phase forms.

How much ferrite forms is set by the balance between the ferrite-forming and austenite-forming elements. The WRC-1992 diagram condenses that balance into two coordinates: Creq = Cr + Mo + 0.7Nb and Nieq = Ni + 35C + 20N + 0.25Cu. Note what the coefficients say about the physics — carbon is 35 times as potent an austenite stabiliser as nickel, and nitrogen 20 times, which is why a small pickup of atmospheric nitrogen from poor gas shielding can move a weld out of its intended ferrite window. WRC-1992 superseded the Schaeffler and DeLong diagrams because it handles nitrogen and copper properly and predicts Ferrite Number rather than a ferrite percentage.

The Ferrite Number itself is read from the diagram at the plotted point, or measured directly on the weld with a magnetic instrument calibrated to AWS A4.2M. This tool gives the coordinates to plot and the ratio that governs solidification mode; it does not read the diagram for you, because the iso-ferrite lines are a graphical construction rather than a published equation.

The Creq/Nieq ratio predicts how the weld pool freezes, and that matters more than the final ferrite content for hot cracking. Ratios below about 1.25 solidify as primary austenite (mode A) and are crack sensitive. Between 1.25 and 1.48 the mode is AF. From 1.48 to 1.95 solidification starts as primary ferrite (mode FA) — this is the target for standard 308/316 type welds and gives the best cracking resistance. Above 1.95 the weld freezes fully ferritic (mode F), typical of duplex and superduplex, where the ferrite-to-austenite transformation on cooling then has to be controlled by nitrogen content and cooling rate.

Creq = Cr + Mo + 0.7·Nb
Nieq = Ni + 35·C + 20·N + 0.25·Cu
Ratio = Creq / Nieq
Plot (Creq, Nieq) on the WRC-1992 diagram to read the Ferrite Number
All element contents in weight per cent of the deposited weld metal

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Notes:
  • Use the analysed chemistry of the deposited weld metal, not the consumable certificate for undiluted deposit, unless dilution is negligible.
  • Nitrogen pickup from lost gas shielding lowers ferrite sharply; a 0.02 % rise in N moves Nieq by 0.4.
  • Measured Ferrite Number to AWS A4.2M is the acceptance value where a specification sets one. The diagram is a prediction.
  • The solidification-mode ratio bands are indicative boundaries, not sharp transitions.

Reference: WRC-1992 diagram, Kotecki and Siewert, Welding Journal 71(5), 1992; solidification mode bands after Suutala. Ferrite Number measurement per AWS A4.2M/ISO 8249

These calculators support — never replace — calculations against the governing code edition and your written procedure. Verify results independently before use.

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