Probabilistic analysis and simulation of crack propagation in concrete pavements and surfaces

Author:

Leblouba Moussa,Tarabin Mohamad,Zahri Mostafa

Abstract

AbstractThe surface of concrete pavement is susceptible to cracking. The propagation of a crack in a concrete structure may take the form of a one-dimensional line crack, a two-dimensional surface crack, or a three-dimensional volume crack. Predicting crack propagation in a concrete pavement surface is a complicated task. The whole process of formation, propagation, and orientation of cracks can be considered a stochastic process that necessitates a probabilistic investigation approach. In the present study, crack propagation in concrete pavements is studied from a probabilistic point of view using the concepts of multinomial Markov Chains using Random Walks. The study is based on actual probabilities of propagation and orientation of cracks obtained by tracing crack paths from a large dataset of images using custom-built software. Two random walker models are developed using the trinomial and multinomial Markov Chains. The master equation is developed assuming the trinomial Markov Chain, which has been brought for further theoretical and numerical developments. Examples of inferences and numerical simulations are presented to showcase the potential uses and applications of the proposed probabilistic approach for the design and scheduling of inspection visits and maintenance/rehabilitation strategies of concrete pavements and surfaces.

Funder

University of Sharjah

Publisher

Springer Science and Business Media LLC

Subject

Multidisciplinary

Reference31 articles.

1. Henaff, X. L. Analysis and Description of Concrete Cracking Mechanisms. McGill University (Canada) (2013).

2. Jordon, R. W., Limited, T. R. L. & Agency, G. B. H. Best Practice Guide for Overlaying Concrete. TRL Limited (2008).

3. Middleton, D. Random walks and concrete cracks. Math. Gaz. 66(436), 128–136. https://doi.org/10.2307/3617749 (1982).

4. Ker, H.-W., Lee, Y.-H. & Lin, C.-H. Prediction models for transverse cracking of jointed concrete pavements: Development with long-term pavement performance database. Transp. Res. Rec. 2068(1), 20–31 (2008).

5. Saichi, M., Shinohe, H., & Mihashi, H. Statistical property of internal cracks in concrete. in Fourth International Conference on Fracture Mechanics of Concrete and Concrete Structures, pp. 99–106 (2001).

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3