Stress Intensity Factor⚠ unverified
Physics / Materials · Compute the mode I stress intensity factor
Parameters
| Input | Symbol | Unit | Default | Description |
|---|---|---|---|---|
| stress | stress | Pa | 1.0 | Far-field applied stress |
| crack_length | cracklength | m | 1.0 | Characteristic crack length |
| geometry_factor | geometryfactor | — | 1.0 | Dimensionless geometry factor Y. Default is 1.0 |
| Output | Symbol | Unit | Description |
|---|---|---|---|
| result | K | Pa*m^0.5 | Stress intensity factor, in pascals times square root of metres (Pa*m^0.5) |
The science & history
Understanding the Parameters
- $\sigma$, $a$, $Y$ — same roles as on the fracture-toughness card.
- $K$ — driving force for crack growth; fracture when $K \ge K_{Ic}$.
Derivation (Approaching a Proof)
See Fracture Toughness: LEFM crack-tip field amplitude $K_I = Y\sigma\sqrt{\pi a}$.
History
Irwin’s $K$ made Griffith’s energy ideas into a practical design parameter.
Related Concepts: Fracture Toughness, Factor of Safety, Von Mises Stress
Notes: Registry calculator stress-intensity-factor (unverified). Near-duplicate of
fracture-toughness.