Stress Intensity Factor Solutions
This page provides stress intensity factor solutions for common cases.
Contents
Center Through Crack in Plate
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Stress intensity: |
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Geometry factor, tension: |
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Geometry factor, bending: | Yb = Yt / 2 |
Definitions:
σt | tensile stress |
σb | 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: |
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Geometry factor, tension: |
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Geometry factor, bending: |
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Dimension ratio: | α = a / b |
Definitions:
σt | tensile stress |
σb | bending stress |
a | crack length |
b | plate width |
References:
Elliptical Surface Crack in Plate
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Stress intensity: |
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Geometry factor, tension: |
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Geometry factor, bending: | Yb = H·Yt |
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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 |
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Definitions:
σt | tensile stress |
σb | bending stress |
a | crack depth |
c | crack half-length |
b | plate half-width |
t | plate thickness |
References:
Corner Surface Crack in Plate

Stress intensity: |
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Geometry factor, tension: |
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Geometry factor, bending: |
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H = H1 + (H2 − H1)(sin ϕ)p | |
ϕ = 0° at c-tip, ϕ = 90° at a-tip |
a ≤ c | a > c |
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Definitions:
σt | tensile stress |
σb | bending stress |
a | crack depth |
c | crack length |
b | plate width |
References:
Thumbnail Crack in Solid Cylinder

Stress intensity: |
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Geometry factor, tension: |
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Geometry factor, bending: |
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Definitions:
σt | tensile stress |
σb | 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