Diffusion Models of Crack Growth Due to Random Overloads

by Steven R. Winterstein, Stanford Univ, United States,
Paul S. Veers, Stanford Univ, United States,

Document Type: Proceeding Paper

Part of: Probabilistic Methods in Civil Engineering


Stochastic diffusion models of crack growth are developed, reflecting uncertainty in applied loading and residual stresses near the crack tip. Applications are shown to (1) random vibration loads, and (2) cyclic loads with random tensile overloads. Analytical results for fatigue life statistics are shown - ignoring load sequence effects in case (1) and accounting for overload arrival rate and variability in case (2). Results are compared with both experimental results and simulation.

Subject Headings: Cyclic loads | Cracking | Overloads | Ultimate strength | Structural reliability | Stochastic processes | Uncertainty principles | Vibration

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