A Stochastic Approach to the Fatigue Reliability

by Yuan Jie Lua, Applied Research Associates Inc, Raleigh, NC, USA,
Wing Kam Liu, Applied Research Associates Inc, Raleigh, NC, USA,
Ted Belytschko, Applied Research Associates Inc, Raleigh, NC, USA,

Document Type: Proceeding Paper

Part of: Probabilistic Mechanics and Structural and Geotechnical Reliability


In this paper, the stochastic approach, which combines the mixed boundary integral equation method (Lua et al (1992a)) with the First Order Reliability Method (FORM), is applied to study probabilistic fatigue crack growth. The direct differentiation coupled with the response-surface method is employed to determine the response gradient. The sensitivity of random processes presented in the response gradient is determined using the first order response model. The HL-RF iteration method is applied to locate the most probable failure point on the limit state surface. The accuracy and efficiency of the present approach are demonstrated through a fatigue crack growth problem with randomness in the crack geometry, defect geometry, fatigue parameters and external loads.

Subject Headings: Fatigue (material) | Stochastic processes | Probability | Cracking | Load factors | Geometrics | Boundary element method

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