The engineering stress-strain curve is the fundamental characterisation of a material’s mechanical response to uniaxial loading. This calculator converts between engineering and true stress-strain, calculates work hardening exponent (n) and strength coefficient (K) from the Hollomon power law, and estimates key derived properties including resilience, toughness, and uniform elongation. Understanding these relationships is essential for metal forming analysis, finite element material model definition, and structural integrity assessment.
Stress-Strain Curve Parameters Calculator
Engineering stress: σ_e = F/A₀ | True stress: σ_T = σ_e × (1 + ε_e)
Engineering strain: ε_e = ΔL/L₀ | True strain: ε_T = ln(1 + ε_e)
Hollomon power law: σ_T = K × ε_T^n (valid in uniform plastic deformation region)
n = strain hardening exponent: high n = better formability (304 SS n≈0.45; mild steel n≈0.20)
Typical Hollomon n Values for Engineering Alloys
| Material | n (strain hardening exponent) | σ_y (MPa) | Formability |
|---|---|---|---|
| 304 Austenitic stainless | 0.40–0.50 | 210–250 | Excellent — very high n |
| IF (interstitial-free) steel | 0.25–0.35 | 140–180 | Excellent — deep draw quality |
| Low carbon mild steel (DC04) | 0.20–0.25 | 180–240 | Good — standard pressings |
| DP600 dual-phase steel | 0.15–0.22 | 350–400 | Good — AHSS auto panels |
| S355 structural steel | 0.15–0.20 | 355–400 | Moderate |
| S690 Q&T structural | 0.05–0.10 | 690–750 | Low — limited cold forming |
| Ti-6Al-4V (annealed) | 0.08–0.12 | 880–950 | Low — springback issues |
| Al 6061-T6 | 0.06–0.10 | 276–310 | Low — limited forming after T6 |
| Cu (annealed) | 0.30–0.40 | 70–100 | Excellent |
References
- Callister, W.D. and Rethwisch, D.G., Materials Science and Engineering: An Introduction. 10th ed. Wiley, 2018.
- ISO 6892-1:2019 Metallic materials — Tensile testing — Part 1: Method of test at room temperature.
- Hosford, W.F. and Caddell, R.M., Metal Forming: Mechanics and Metallurgy. 4th ed. Cambridge University Press, 2011.
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