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Assessment by kriging of the reliability of structures subjected to fatigue stress

Abstract : Traditional procedures for designing structures against fatigue are grounded upon the use of so-called safety factors in an attempt to ensure structural integrity while masking the uncertainties inherent to fatigue. These engineering methods are simple to use and fortunately, they give satisfactory solutions with regard to safety. However, they do not provide the designer with the structure’s safety margin as well as the influence of each design parameter on reliability. Probabilistic approaches are considered in this thesis in order to acquire this information, which is essential for an optimal design against fatigue. A general approach for probabilistic analysis in fatigue is proposed in this manuscript. It relies on the modelling of the uncertainties (load, material properties, geometry, and fatigue curve), and aims at assessing the reliability level of the studied structure in the case of a fatigue failure scenario. Classical reliability methods require a large number of calls to the mechanical model of the structure and are thus not applicable when the model evaluation is time-demanding. A family of methods named AK-RM (Active learning and Kriging-based Reliability methods) is proposed in this research work in order to solve the reliability problem with a minimum number of mechanical model evaluations. The general approach is applied to two case studies submitted by SNECMA in the frame of the ANR project APPRoFi.
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Submitted on : Wednesday, March 13, 2013 - 1:31:01 PM
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  • HAL Id : tel-00800208, version 1


Benjamin Echard. Assessment by kriging of the reliability of structures subjected to fatigue stress. Other. Université Blaise Pascal - Clermont-Ferrand II, 2012. English. ⟨NNT : 2012CLF22269⟩. ⟨tel-00800208⟩



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