Stress Intensity Factor Solutions
This page provides stress intensity factor solutions for common cases.
Contents
Center Through Crack in Plate
Stress intensity: 

Geometry factor, tension: 

Geometry factor, bending:  Y_{b} = Y_{t} / 2 
Definitions:
σ_{t}  tensile stress 
σ_{b}  bending stress 
a  crack halflength 
b  plate halfwidth 
References:
 AFRLVAWPTR20033002, "USAF Damage Tolerant Design Handbook: Guidelines for the Analysis and Design of Damage Tolerant Aircraft Structures," 2002
 API 5791 / ASME FFS1, "FitnessForService," The American Petroleum Institute and The American Society of Mechanical Engineers, 2007
Single Edge Through Crack in Plate
Stress intensity: 

Geometry factor, tension: 

Geometry factor, bending: 

Dimension ratio:  α = a / b 
Definitions:
σ_{t}  tensile stress 
σ_{b}  bending stress 
a  crack length 
b  plate width 
References:
Elliptical Surface Crack in Plate
Stress intensity: 

Geometry factor, tension: 

Geometry factor, bending:  Y_{b} = H·Y_{t} 


H = H_{1} + (H_{2} − H_{1})(sin ϕ)^{p}  
ϕ = 0° at ctip, ϕ = 90° at atip (full depth of crack) 
a ≤ c  a > c 























 



 

Definitions:
σ_{t}  tensile stress 
σ_{b}  bending stress 
a  crack depth 
c  crack halflength 
b  plate halfwidth 
t  plate thickness 
References:
Corner Surface Crack in Plate
Stress intensity: 

Geometry factor, tension: 

Geometry factor, bending: 



H = H_{1} + (H_{2} − H_{1})(sin ϕ)^{p}  
ϕ = 0° at ctip, ϕ = 90° at atip 
a ≤ c  a > c 

























 



 

Definitions:
σ_{t}  tensile stress 
σ_{b}  bending stress 
a  crack depth 
c  crack length 
b  plate width 
References:
Thumbnail Crack in Solid Cylinder
Stress intensity: 

Geometry factor, tension: 

Geometry factor, bending: 






Definitions:
σ_{t}  tensile stress 
σ_{b}  bending stress 
a  crack depth 
b  cylinder diameter 
References:
 AFRLVAWPTR20033002, "USAF Damage Tolerant Design Handbook: Guidelines for the Analysis and Design of Damage Tolerant Aircraft Structures," 2002