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Damage and fracture — Paris Constant Dk

Damage and fracturePASS · 0%

Damage, cohesive-zone, fracture-mechanics, or crack-growth verification. Checks: cycle integration and units in Paris law.

Tolerance:
5%
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Problem statement

Geometry
Paris law with C=1e-10 mm/cycle/(MPa-sqrt(mm))^2, m=2, constant DeltaK=10 MPa-sqrt(mm), a0=10 mm, N=100000 cycles.
Material
Constitutive or analytical definition: a(N)=a0+C DeltaK^m N for constant DeltaK.
Boundary conditions
Required solver capability: fatigue_crack_growth. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity
da/dN=1e-8 mm/cycle and a(100000)=10.001 mm.

WebCAE Terminal

Paste these commands into the Terminal panel inside WebCAE. They use the same text DSL as the application; run one command per line:

units mm
fatigue paris C=1e-10 m=2.0 delta_k=10.0 a0=10.0
solve fatigue cycles=100000
extract crack_length

Results comparison

Reference valueda/dN=1.000e-8 mm/cycle, a(1e5)=10.0010 mm
Our resultda/dN=1.000e-8 mm/cycle, a(1e5)=10.0010 mm
Deviation0%
Tolerance5%
StatusPASS · 0%
Mesh detailsParis fatigue law C=1e-10, m=2, DeltaK=10 MPa-sqrt(mm), N=100000 cycles

Updated: 2026-10-27 · version not recorded

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