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Fatigue crack propagation model and size effect in concrete using dimensional analysis

Ray, Sonalisa and Kishen, Chandra JM (2011) Fatigue crack propagation model and size effect in concrete using dimensional analysis. In: Mechanics of Materials, 43 (2). pp. 75-86.

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Official URL: http://dx.doi.org/10.1016/j.mechmat.2010.12.002


It is well known that fatigue in concrete causes excessive deformations and cracking leading to structural failures. Due to quasi-brittle nature of concrete and formation of a fracture process zone, the rate of fatigue crack growth depends on a number of parameters, such as, the tensile strength, fracture toughness, loading ratio and most importantly the structural size. In this work, an analytical model is proposed for estimating the fatigue crack growth in concrete by using the concepts of dimensional analysis and including the above parameters. Knowing the governed and the governing parameters of the physical problem and by using the concepts of self-similarity, a relationship is obtained between different parameters involved. It is shown that the proposed fatigue law is able to capture the size effect in plain concrete and agrees well with different experimental results. Through a sensitivity analysis, it is shown that the structural size plays a dominant role followed by loading ratio and the initial crack length in fatigue crack propagation. (C) 2010 Elsevier Ltd. All rights reserved.

Item Type: Journal Article
Publication: Mechanics of Materials
Publisher: Elsevier Science B.V.
Additional Information: Copyright of this article belongs to Elsevier Science B.V.
Keywords: Fatigue; Plain concrete;Dimensional analysis; Self-similarity;Fracture energy;Size-effect
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 20 Apr 2011 05:22
Last Modified: 20 Apr 2011 05:22
URI: http://eprints.iisc.ac.in/id/eprint/36731

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