Diffusion Models of Crack Growth Due to Random Overloads

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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:

Abstract: 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: Ultimate strength | Overloads | Cracking | Cyclic loads | Residual stress | Vibration | Stochastic processes | Uncertainty principles |

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