This page provides stress intensity factor solutions for common cases.

Contents


Center Through Crack in Plate

Center Through Crack in Plate
Stress intensity:
Geometry factor, tension:
Geometry factor, bending: Yb = Yt / 2

Definitions:

σt tensile stress
σb bending stress
a crack half-length
b plate half-width

References:

  1. AFRL-VA-WP-TR-2003-3002, "USAF Damage Tolerant Design Handbook: Guidelines for the Analysis and Design of Damage Tolerant Aircraft Structures," 2002
  2. API 579-1 / ASME FFS-1, "Fitness-For-Service," The American Petroleum Institute and The American Society of Mechanical Engineers, 2007


Single Edge Through Crack in Plate

Single Edge Through Crack in Plate
Stress intensity:
Geometry factor, tension:
Geometry factor, bending:
Dimension ratio: α = a / b

Definitions:

σt tensile stress
σb bending stress
a crack length
b plate width

References:

  1. Dowling, Norman E., "Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue," 3rd Edition


Elliptical Surface Crack in Plate

Elliptical Surface Crack in Plate
Stress intensity:
Geometry factor, tension:
Geometry factor, bending: Yb = H·Yt
 
H = H1 + (H2 − H1)(sin ϕ)p
ϕ = 0° at c-tip,  ϕ = 90° at a-tip (full depth of crack)
a ≤ c a > c
---
---

Definitions:

σt tensile stress
σb bending stress
a crack depth
c crack half-length
b plate half-width
t plate thickness

References:

  1. Anderson, T.L., "Fracture Mechanics: Fundamentals and Applications," 3rd Edition


Corner Surface Crack in Plate

Corner Surface Crack in Plate
Stress intensity:
Geometry factor, tension:
Geometry factor, bending:
 
H = H1 + (H2 − H1)(sin ϕ)p
ϕ = 0° at c-tip,  ϕ = 90° at a-tip
a ≤ c a > c
---
---

Definitions:

σt tensile stress
σb bending stress
a crack depth
c crack length
b plate width

References:

  1. Anderson, T.L., "Fracture Mechanics: Fundamentals and Applications," 3rd Edition


Thumbnail Crack in Solid Cylinder

Thumbnail Crack in Solid Cylinder
Stress intensity:
Geometry factor, tension:
Geometry factor, bending:
 

Definitions:

σt tensile stress
σb bending stress
a crack depth
b cylinder diameter

References:

  1. AFRL-VA-WP-TR-2003-3002, "USAF Damage Tolerant Design Handbook: Guidelines for the Analysis and Design of Damage Tolerant Aircraft Structures," 2002