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 half-length |
b | plate half-width |
References:
- AFRL-VA-WP-TR-2003-3002, "USAF Damage Tolerant Design Handbook: Guidelines for the Analysis and Design of Damage Tolerant Aircraft Structures," 2002
- 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
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 c-tip, ϕ = 90° at a-tip (full depth of crack) |
a ≤ c | a > c |
---|---|
--- | |
--- |
Definitions:
σ_{t} | tensile stress |
σ_{b} | bending stress |
a | crack depth |
c | crack half-length |
b | plate half-width |
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 c-tip, ϕ = 90° at a-tip |
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:
- AFRL-VA-WP-TR-2003-3002, "USAF Damage Tolerant Design Handbook: Guidelines for the Analysis and Design of Damage Tolerant Aircraft Structures," 2002