Reliability estimation of fatigue crack growth prediction


Structures are susceptible to failures induced by fatigue fractures. It has drawn a significant concern in the respective field such as aviation and shipping thus several investigations have been conducted by various academic and field engineer’s researchers to determine the possible causes and prevention methods of fatigue crack growth. The growth of fatigue cracks depends on various factors such as material and geometric properties and loading conditions which make sit challenging in the analysis and determination of the crack propagation in structures. This paper, therefore, aims at overcoming these difficulties by developing a new analytical approach of analyzing fatigue crack growth in different structures. The method ensures time-dependent reliability evaluation and minimal uncertainty information concerning structures.

Dr. Lei Wang and colleagues at Beihang University in China successfully estimated fatigue crack growth in structures using minimal measured data. The non-probabilistic time-dependent model involves the integration of mathematical theories that enables estimation of cracked and damaged structures and understanding of their life cycles. The authors also provided in-depth knowledge of the design of structural damage tolerance. The work has thus been published in International Journal of Mechanical Sciences.

The research team demonstrated the basis of the design of structural damage tolerance through a combination of crack growth and mathematical intervals theoretically. They also obtained the different uncertainty properties of the time-dependent functions by considering and comparing the critical crack lengths obtained in the experiments.

The approach proposed by the authors have several added advantages as compared to other probabilistic approaches. It requires for example only the bound information regarding the uncertainties which is easy to obtain in a simple, practical situation. In cases where access to adequate data becomes difficult, the approach can still give more viable and accurate results. The non-probabilistic approach also enables the experimentalists to calculate and simulate the data easily accurately. The required analytical and mathematical equations used in the computation of such solutions are also readily available. Determination of crack propagation in structures is very complex; the method allows extension that will include the application of other numerical solutions techniques such as finite difference methods (FDM) as well as finite element analysis (FEA).

Furthermore, the authors suggest a replacement of the currently used techniques in estimation od crack growth and fatigue damage in structures. With the reliable information in this paper, the authors hope that their work will help in advancing the structural field and thus address the challenges associated with structural cracks and fatigue that leads to failures. The proposed approach is also very essential in understanding other problems associated with structures such as the laws governing the growth of cracks in composite structures and multi cracks in large structures. The researchers also demonstrated the high level of accuracy, efficiency, and usability of their proposed method which will be the key for future research work in the area.

Reliability estimation of fatigue crack growth prediction via limited measured data. Advances in Engineering

Reliability estimation of fatigue crack growth prediction via limited measured data. Advances in Engineering

Reliability estimation of fatigue crack growth prediction via limited measured data. Advances in Engineering

Reliability estimation of fatigue crack growth prediction via limited measured data. Advances in Engineering

About the author

Dr. Lei Wang is a lecturer in the school of aeronautic science and engineering, Beihang University, where he received his BS degree (majored in Engineering Mechanics) in 2009 and PH.D (majored in Solid Mechanics) in 2015. In recent years, his researches have been focused on the influence of uncertain factors included in environment, material properties, manufacture, and external loads on the analysis and design of the structural systems.

He has finished some systematic works about mechanics problems with uncertainties, from the forward problems including the non-probabilistic uncertainty quantification (UQ) analysis, reliability analysis of structures (is mainly focusing on the interval/convex reliability assessment, the hybrid and system reliability model, and the time-variant estimation, etc.), to the inverse problems including the dynamic load identification considering the uncertainty of model and measurement errors, reliability-based optimization design (RBDO), and reliability-based topology optimization (RBTO). Based on the above the research works, one monograph have been published, and one monograph is publishing. More than 40 papers have been published on international and Chinese well-known journals, where 23 papers have been indexed by SCI and 4 papers have been indexed by EI. Moreover, there are a total of 10 China’s patents have been accepted.

Lei Wang
Institute of Solid Mechanics
School of Aeronautical Science and Engineering
BeiHang University(BUAA), Beijing 100191, P.R. China
Tel: 86-10-82317867, 86-13466660129
Email: [email protected]


Wang, L., Wang, X., Su, H., & Lin, G. (2017). Reliability estimation of fatigue crack growth prediction via limited measured data. International Journal of Mechanical Sciences121, 44-57.


Go To International Journal of Mechanical Sciences 

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