Abstract
Fatigue crack damage depends on a number of stress range cycles. This is a time factor in the course of reliability for the entire designed service life. Three sizes are important for the characteristics of the propagation of fatigue cracks - initial size, detectable size and acceptable size. The theoretical model of fatigue crack progression can be based on a linear fracture mechanic. Depending on location of an initial crack, the crack may propagate in structural element e.g. from the edge or from the surface. When determining the required degree of reliability, it is possible to specify the time of the first inspection of the construction which will focus on the fatigue damage. Using a conditional probability and Bayesian approach, times for subsequent inspections can be determined. For probabilistic modelling of fatigue crack progression was used the original and new probabilistic method - the Direct Optimized Probabilistic Calculation (“DOProC”), which uses a purely numerical approach without any simulation techniques or approximation approach based on optimized numerical integration.
Highlights
Introduction to probabilistic computationIn process of designing a structure under static or dynamic loads [1], various reliability criteria should be met in accordance with the relevant standards
A substantial part of these methods are based on the crude Monte Carlo simulation method (MC), whose disadvantage is poor efficiency due to the need of a high number of simulation steps
* Corresponding author: martin.krejsa@vsb.cz evaluating the reliability index from a small number of simulation steps. Another category of stochastic approaches for the quantification of the reliability of structures are represented by methods, which determine the failure probability on the basis of numerical integration, for e.g. the Direct Optimized Probabilistic Calculation method – DOProC, which was comprehensively published, e.g. in [3, 4]
Summary
In process of designing a structure under static or dynamic loads [1], various reliability criteria should be met in accordance with the relevant standards. Evaluating the reliability index from a small number of simulation steps (hundreds to thousands) Another category of stochastic approaches for the quantification of the reliability of structures are represented by methods, which determine the failure probability on the basis of numerical integration, for e.g. the Direct Optimized Probabilistic Calculation method – DOProC, which was comprehensively published, e.g. in [3, 4]. It appears that this method is very effective for many probabilistic problems. Probabilistic modelling of fatigue crack progression leads to designing a system of regular inspections of structures [6]
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