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Stress–Strain Curve

Built by @1calculator · v1 · Jul 2026 · 18,490 runs

Approximate a material's engineering stress–strain curve with the Ramberg–Osgood equation — strain hardening exponent, yield and failure strains, and the full interactive curve from four material properties.

How It Works
n = ln(eL / 100 / 0.002) / ln(Stu / Sty)
Sty = 250 · Stu = 400 · E = 200 · eL = 20
Frequently Asked Questions

It reproduces the smooth, continuously hardening curves of ductile metals well between yield and ultimate. It will not capture sharp yield points (upper/lower yield of mild steel), Lüders plateaus, or post-necking behaviour — the curve is engineering stress–strain up to the ultimate strength.

That is the standard 0.2% offset definition of yield strength: the yield point is where a line offset by 0.002 strain, parallel to the elastic slope, intersects the curve. The Ramberg–Osgood fit is anchored to it.

Version History (1 version)
  1. v1 7 Jul 2026
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