Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 345, Issue -, Pages 454-475Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2018.11.007
Keywords
Fatigue crack initiation; Linear elasticity; Notched metallic specimens; Spatial Poisson processes; Fatigue-limit models; Maximum likelihood methods
Funding
- KAUST CRG3, Saudi Arabia [2281]
- KAUST CRG4, Saudi Arabia [2584]
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In this work we propose a stochastic model for estimating the occurrence of crack initiations on the surface of metallic specimens in fatigue problems that can be applied to a general class of geometries. The stochastic model is based on spatial Poisson processes with intensity function that combines stress-life (S-N) curves with averaged effective stress, sigma(Delta)(eff)(x), which is computed after solving numerically the linear elasticity equations on the specimen domains using finite element methods. Here, Delta is a parameter that characterizes the size of the neighbors covering the domain boundary. The averaged effective stress, parameterized by Delta, maps the stress tensor to a scalar field upon the specimen domain. Data from fatigue experiments on notched and unnotched sheet specimens of 75S-T6 aluminum alloys are used to calibrate the model parameters for the individual data sets and their combination. Bayesian and classical approaches are applied to estimate the survival-probability function for any specimen tested under a prescribed fatigue experimental setup. Our proposed model can predict the initiation of cracks in specimens made from the same material with new geometries. (C) 2018 Elsevier B.V. All rights reserved.
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