Probabilistic Analysis of the Fatigue Crack Growth Based on the Application of the Monte-Carlo Method to Unigrow Model

2014 ◽  
Vol 3 (3) ◽  
pp. 20130066 ◽  
Author(s):  
S. Bogdanov ◽  
S. Mikheevskiy ◽  
G. Glinka
Keyword(s):  
Monte Carlo ◽  
Fatigue Crack ◽  
Monte Carlo Method ◽  
Fatigue Crack Growth ◽  
Crack Growth ◽  
Probabilistic Analysis ◽  
The Monte Carlo Method

scholarly journals Determination of distributions of fatigue crack length by Monte Carlo method

Mechanik ◽  
2017 ◽  
Vol 90 (7) ◽  
pp. 568-570
Author(s):  
Józef Drewniak ◽  
Leszek Hojdys
Keyword(s):  
Monte Carlo ◽  
Fatigue Crack ◽  
Monte Carlo Method ◽  
Fatigue Crack Growth ◽  
Crack Length ◽  
Crack Growth ◽  
Input Data ◽  
The Monte Carlo Method ◽  
Random Distributions

Described is the determination of random distributions of the fatigue crack length by the Monte Carlo method and the Bogdanov–Kozin model. Input data needed to determine the distributor were obtained by simulation of fatigue crack growth using the Paris–Erdogan model.

scholarly journals THE INFLUENCE OF CORROSION ON RELIABILITY AND INSPECTION PROGRAM FOR FATIGUE‐PRONE AIRFRAME STRUCTURES

Aviation ◽  
2004 ◽  
Vol 8 (3) ◽  
pp. 10-17 ◽  
Author(s):  
M. Shujauddin Wahab ◽  
Yuri M. Paramonov
Keyword(s):  
Monte Carlo ◽  
Fatigue Crack ◽  
Monte Carlo Method ◽  
Fatigue Crack Growth ◽  
Fatigue Failure ◽  
Mean Value ◽  
The Monte Carlo Method ◽  
Special Programs ◽  
Crack Growth Model

This paper is devoted to a discussion and solution of the following problems: Determination of mean value and variance of estimates of parameters of fatigue crack growth model for both the corroded and non‐corroded types of specimens; Inspection modeling with the use of the Monte Carlo method for calculation of probability of fatigue failure as a function of inspection number; Determination of the number of inspections required for the limitation of fatigue failure probability; Comparison of required reliability for corroded and non‐corroded cases. Special programs have been developed for necessary calculations. It was confirmed that the influence of corrosion has a great impact on the required number of inspections.

Monte Carlo-based filtering for fatigue crack growth estimation

2009 ◽  
Vol 24 (3) ◽  
pp. 367-373 ◽  
Author(s):  
F. Cadini ◽  
E. Zio ◽  
D. Avram
Keyword(s):  
Monte Carlo ◽  
Fatigue Crack ◽  
Fatigue Crack Growth ◽  
Crack Growth ◽  
Growth Estimation

A probability model for fibrous composites with local load sharing

1980 ◽  
Vol 372 (1751) ◽  
pp. 539-553 ◽  
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Extreme Value Theory ◽  
Probabilistic Analysis ◽  
Asymptotic Theory ◽  
Probability Model ◽  
Probability Of Failure ◽  
Value Theory ◽  
Fibrous Composites ◽  
The Monte Carlo Method

The chain-of-bundles model for fibrous composites is reviewed, and an approximation to the probability of failure is derived. This leads to formulae for predicting the strength of such a composite. These formulae are developed in the context of an asymptotic theory, and the Monte Carlo method is used to study a specific case in more detail. We also discuss the size effect. The probabilistic analysis relies heavily on extreme value theory, and a brief survey of the relevant parts of that theory is included.

Structure Fatigue Life and Reliability Analysis Based on Fatigue Crack Growth Data

2011 ◽  
Vol 308-310 ◽  
pp. 1277-1282
Author(s):  
Li Hong Gao ◽  
Ge Ning Xu ◽  
Ping Yang
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Fatigue Crack ◽  
Fatigue Crack Growth ◽  
Crack Growth ◽  
Least Square Method ◽  
Random Model ◽  
Least Square ◽  
Growth Data ◽  
Result Show

The random formula on fatigue crack growth is deduced by the fatigue crack data and the improved Taguchi method, and the sample estimates of random variables are received by the least square method in the random formula. Fatigue fracture life and reliability of structure are analyzed by the random model. The result show the model is correct and practical, and get the same result with Monte Carlo simulation, moreover its calculation is very simple.

scholarly journals Probabilistic Fatigue Damage Assessment for Small Crack Growth

2000 ◽  
Author(s):  
Zhengwei Jack Zhao ◽  
Irewole Wally Orisamolu
Keyword(s):  
Fatigue Crack ◽  
Fatigue Crack Growth ◽  
Fracture Mechanics ◽  
Crack Growth ◽  
Fatigue Damage ◽  
Probabilistic Analysis ◽  
Damage Assessment ◽  
Small Crack ◽  
Assessment Methodology ◽  
Crack Growth Model

Abstract Fatigue and fracture are typical random phenomena due to various uncertainty sources, including material property, initial flaw and crack shape, structural configuration and geometry around crack tip, load fluctuation, and other environmental factors. As contrast to the most commonly used probabilistic fatigue growth models, which are built based on simplified fatigue crack growth law, a framework of probabilistic fracture mechanics based fatigue damage assessment methodology for small crack propagation is presented here. The proposed modeling is developed based on a comprehensive fatigue crack growth model, which accounts the effect of crack aspect ratio, stress ratio, and crack closure and retardation. Due to the complicated nature of the fatigue damage modeling adopted, a high non-linear limit state function with discontinuity resulted from physical domain jumping and overlapping are encountered. The advanced fast probability integration techniques in conjunction with response surface methodology and Monte Carlo simulation are used and the accuracy of the analysis is verified. The interface between probabilistic analysis package and the deterministic fracture mechanics analysis program is developed for the purpose of uncertainty propagation. The probability of failure of fatigue damage is computed first. The statistical characteristics of estimated fatigue life and critical crack size are obtained and presented through CDF/PDF curves. The sensitivity analysis is also performed, which provides an indication of the order of importance for the random variables considered. The results of the study have shown robustness and efficiency of the probabilistic analysis to deal with the real world challenge of uncertainty modelling, propagation, and quantification. Currently, possibility to combine the subject probabilistic damage assessment methodology with reliability updating techniques is under the investigation. The successfulness of the presented research activity will address an important issue of quantitative risk analysis for aging structures subjected to accumulative material damage.

scholarly journals COMPARISON BETWEEN TWO AND THREE PARAMETERS OF FATIGUE CRACK GROWTH MODELS IN AIRFRAME STRUCTURES

Aviation ◽  
2005 ◽  
Vol 9 (2) ◽  
pp. 17-23
Author(s):  
Muhammad Shujauddin Wahab ◽  
Yuri M. Paramonov
Keyword(s):  
Monte Carlo ◽  
Fatigue Crack ◽  
Fatigue Crack Growth ◽  
Crack Growth ◽  
Growth Models ◽  
Fatigue Tests ◽  
Average Thickness ◽  
Multiple Site ◽  
Significant Difference ◽  
The Difference

Comparison of two and three parameters models of fatigue crack growth is discussed. For calculation of failure probability, the Monte Carlo (MC) method is used. The number of MC trials was 60. Multiple site fatigue damage specimens corroded to 5% to 6% average thickness loss and non‐corroded specimens were used in the fatigue tests. As initial data, the result of these fatigue tests of corroded and non‐corroded specimens are used. It is shown that at a small number of inspections there is a significant difference between probabilities of failure (fatigue crack is not discovered before specified life). But if the number of inspections is large enough, than the difference between considered models is negligible for both corroded and non‐corroded specimens.

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