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Coffin-Manson Low-Cycle Fatigue (LCF) Calculator

Low-Cycle Fatigue (LCF) occurs under high-amplitude loading where macro-scale plastic deformation takes place each cycle (typically Nf < 10⁴ cycles).

Cyclic plastic strain half-amplitude (e.g. 0.006 = 0.6% plastic strain).

True fracture ductility strain (typically ~0.35 to 0.60 for structural steels and superalloys).

Ductility slope exponent (typically -0.5 to -0.7).

What Is the Coffin-Manson Low-Cycle Fatigue (LCF) Calculator?

In the 1950s, L.F. Coffin and S.S. Manson independently discovered that in low-cycle fatigue, plastic strain governs life far more than elastic stress.

It dictates thermal fatigue in jet engine discs, nuclear reactor vessels, and electronics solder joints.

How Does the Coffin-Manson Low-Cycle Fatigue (LCF) Calculator Work?

Repeated plastic deformation creates persistent slip bands, localized extrusion-intrusion pairs, and rapid microcrack initiation.

The Coffin-Manson power law models life accurately from tens of cycles up to 10,000 cycles.

Coffin-Manson Low-Cycle Fatigue (LCF) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

\frac{\Delta \varepsilon_p}{2} = \varepsilon_f' (2 N_f)^c \implies 2 N_f = \left( \frac{\Delta \varepsilon_p / 2}{\varepsilon_f'} \right)^{1/c}

Coffin-Manson universal plastic strain-life relationship.

How to Use the Coffin-Manson Low-Cycle Fatigue (LCF) Calculator

  1. Input plastic strain amplitude, fatigue ductility coefficient εf’, and exponent c.
  2. Check predicted cycles to failure Nf and total reversals 2Nf.

Step-by-Step Example Calculation

Gas Turbine Disc Thermal Shock Cycle

Input Values:

plasticStrainAmplitude:0.008
fatigueDuctilityCoefficient:0.4
fatigueDuctilityExponentC:-0.6
Worked Steps: Predicts ~340 startup-shutdown cycles to fatigue cracking.

Understanding Your Result

High-ductility materials perform significantly better in low-cycle fatigue than high-strength brittle alloys.

Factors That Affect the Result

  • High operating temperatures increase creep interaction, shortening LCF life (creep-fatigue interaction).

When Should You Use This Calculator?

  • Turbine rotor startup cycles, heat exchanger tubesheet thermal transients, automotive crash rails, and solder joint thermal cycling.

Assumptions & Limitations

  • Applies to strain-controlled cyclic loading where plastic strain dominates over elastic strain.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard ASTM E606 strain-controlled fatigue testing methodology.

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