International Journal of Advanced and Applied Sciences

Int. j. adv. appl. sci.

EISSN: 2313-3724

Print ISSN: 2313-626X

Volume 4, Issue 10  (October 2017), Pages:  130-138

Original Research Paper

Title: Statistical distribution for initial crack and number of loading in fatigue crack growth process

Author(s): Siti Sarah Januri 1, *, Zulkifli Mohd Nopiah 2, Mohd Akramin Mohd Romlay 3, Ahmad Kamal Ariffin Mohd Ihsan 2, Nurulkamal Masseran 4, Shahrum Abdullah 2

Affiliation(s):

1Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (Kampus Seremban), 70300 Seremban, Negeri Sembilan, Malaysia
2Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, 39000 UKM Bangi, Selangor, Malaysia
3Faculty of Mechanical Engineering, Universiti Malaysia Pahang, 26600 Pekan, Pahang, Malaysia
4Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 39000 UKM Bangi, Selangor, Malaysia

https://doi.org/10.21833/ijaas.2017.010.018

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Abstract:

A statistical distribution for crack growth technique is one of the important issues emerging from the fatigue crack propagation process. This study aims to compare three different statistical distributions for providing the best modelling of the fatigue data. The normal, the lognormal and the Weibull distribution are compared for determining a better fit for the variables. Kolmogorov-Smirnov has been chosen as the criterion of the best distribution of the variables. Ten replicate specimens of aluminium alloy A7075-T6 in constant amplitude crack tests were conducted. The number of cycles for the formation of the initial crack and initial crack length were taken as random variables. A Bootstrap approach was applied for ensuring that the chosen distribution was the best representative for this type of variables since small data was incorporated in this analysis, it was not suitable to justify the true population. Thus, the result showed that the lognormal distribution was the best distribution to represent the number of cycles and the length of the initial crack. It was found that whether the normal and lognormal types were suitable for those variables, the lognormal was more conservative for these types of variables. These two variables played the main role in life prediction. Therefore, an analysis of the statistical distribution is highly important. It is believed that these results lead to the significant prediction of fatigue lifetime. 

© 2017 The Authors. Published by IASE.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Keywords: Fatigue crack growth, Statistical distribution, Bootstrap analysis

Article History: Received 29 April 2017, Received in revised form 25 August 2017, Accepted 28 August 2017

Digital Object Identifier: 

https://doi.org/10.21833/ijaas.2017.010.018

Citation:

Januri SS, Nopiah ZM, Romlay MAM, Ihsan AKAM, Masseran N, and Abdullah S (2017). Statistical distribution for initial crack and number of loading in fatigue crack growth process. International Journal of Advanced and Applied Sciences, 4(10): 130-138

Permanent Link:

http://www.science-gate.com/IJAAS/V4I10/Januri.html

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