Enter the applied stress, crack length, and shape factor into the calculator to determine the Stress Intensity Factor (SIF). This calculator helps in assessing the criticality of cracks in materials.

Stress Intensity Factor Formula

The following formula is used to calculate the Stress Intensity Factor (SIF):

K = sigma* sqrt{pi*a} *Y

Variables:

  • K is the Stress Intensity Factor (MPa√m)
  • σ is the applied stress (MPa)
  • a is the crack length (meters)
  • Y is the shape factor (dimensionless)

To calculate the Stress Intensity Factor, multiply the applied stress by the square root of the product of pi and the crack length, then multiply by the shape factor.

What is a Stress Intensity Factor?

The Stress Intensity Factor (SIF) is a measure of the stress concentration at the tip of a crack in a material under load. It is a critical parameter in fracture mechanics, as it helps predict the growth of cracks and the potential for catastrophic failure. The SIF is influenced by the applied stress, the size and shape of the crack, and the geometry of the component.

How to Calculate Stress Intensity Factor?

The following steps outline how to calculate the Stress Intensity Factor (SIF).


  1. First, determine the applied stress (σ) in MPa.
  2. Next, determine the crack length (a) in meters.
  3. Next, determine the shape factor (Y), which is dimensionless.
  4. Use the formula K = σ * √(π * a) * Y to calculate the Stress Intensity Factor (K).
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem :

Use the following variables as an example problem to test your knowledge.

Applied Stress (σ) = 75 MPa

Crack Length (a) = 0.05 meters

Shape Factor (Y) = 1.12