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Hardness to tensile strength

Every converter multiplies your Vickers number by about 3.2 and prints one answer. We measured that ratio across 1,089 real alloys and it holds for roughly half of them. So this one gives you the range, and tells you how often the textbook figure is right.

Measured hardness

Bulk hardness, not a case or nitrided surface layer.

Typical hardnesses

Estimated UTS

from the measured UTS/HV distribution

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Median ratio estimate—
Wider band (p10–p90)—
Ratio used (p25 / median / p75)—

Hardness is one observation. METALLAI predicts yield, tensile, hardness and elongation together from a composition and route — so they are consistent with each other rather than derived from one another. Open the app →

Where these numbers come from

The ratio UTS / HV was measured directly across the METALLAI corpus, excluding rows whose recorded hardness is a case or nitrided surface value rather than the bulk — those belong to a different material than the tensile bar does.

Familynp10p25medianp75p90
Steel6742.863.143.303.453.51
Aluminium4153.103.253.443.764.03

How often the textbook band is right

Ratio bandSteelAluminium
3.0 – 3.4  (the usual quoted range)51 %39 %
2.9 – 3.684 %57 %
2.8 – 3.891 %74 %
For aluminium, stop converting. Only 39 % of the aluminium alloys measured fall inside the band that gets quoted for steel, and the ratio runs past 4.0 at the top decile. Work-hardened and precipitation-hardened tempers sit at opposite ends of that distribution, so the error is systematic by condition, not random noise you can average away. Use a tensile test or a model that knows the temper.

Vickers and Brinell

Below about 450, HV and HBW agree within a few percent: both report load divided by indentation area, and the Brinell ball has not yet deformed appreciably. This converter treats them as equal in that range and warns above it, where the ball flattens and HBW 10/3000 stops being recommended past roughly 650.

Why any hardness conversion is approximate

The scales measure different things: different indenters, loads and strain states. A conversion is only valid for the material group it was established on, which is exactly why ASTM E140 and ISO 18265 publish separate tables per family and warn against applying them outside it. The number you get from any converter carries the scatter of the population behind it — scatter that is almost never printed next to the answer. Here it is.

Questions

How do you convert hardness to tensile strength?
The usual rule is UTS (MPa) ≈ 3.2–3.3 × HV, from Tabor's observation that indentation and tension probe the same plastic flow resistance. It is a correlation, not a conversion. Across 674 measured steels the ratio runs 2.86–3.51 between the 10th and 90th percentiles, median 3.30, with only 51 % inside the quoted 3.0–3.4.
How accurate is estimating UTS from hardness?
For steel, a single multiplier lands within about ±10 % for roughly eight alloys in ten — useful for screening, useless for acceptance. For aluminium it is considerably worse: 3.10–4.03 across the same percentiles and only 39 % inside the steel band.
Is Vickers hardness the same as Brinell?
Below roughly 450 they agree within a few percent. Above it the correspondence degrades as the Brinell ball flattens, and HBW 10/3000 is not recommended above about 650.
Why is there no HRC conversion here?
Because we will not publish numbers we cannot stand behind. Vickers-to-Rockwell correspondence is defined by ASTM E140 and ISO 18265, which are licensed standards, and our own corpus records hardness in HV only — so there is nothing here to fit an honest conversion on. Every other number on this page came from a measurement we can show you. Use the standard, or the tables on your hardness tester's certificate.

Predict all four, together

Yield, tensile, hardness and elongation from one composition and route — consistent with each other by construction, each with its own uncertainty, instead of one estimated from another through a multiplier that is right half the time.

Run the full prediction — free Murakami √area calculator