Ray, Sonalisa and Kishen, Chandra JM (2012) Fatigue crack growth due to overloads in plain concrete using scaling laws. In: SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 37 (1, SI). pp. 107-124.
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Abstract
Scaling laws are represented in power law form and can be utilized to extract the characteristic properties of a new phenomenon with the help of self-similar solutions. In this work, an attempt has been made to propose a scaling law analytically, for plain concrete when subjected to variable amplitude loading. Due to the application of overload on concrete structures, acceleration in the crack growth process takes place. A closed form expression has been developed to capture the acceleration in crack growth rate in conjunction with the principles of dimensional analysis and self-similarity. The proposed model accounts for parameters such as, the tensile strength, fracture toughness, overload effect and the structural size. Knowing the governed and the governing parameters of the physical problem and by using the concepts of self-similarity, a relationship is obtained between the different parameters involved. The predicted results are compared with experimental crack growth data for variable amplitude loading and are found to capture the overload effect with sufficient accuracy. Through a sensitivity analysis, fracture toughness is found to be the most dominant parameter in accelerating the crack length due to application of overload.
| Item Type: | Journal Article |
|---|---|
| Publication: | SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES |
| Publisher: | Indian Academy of Sciences |
| Additional Information: | Copyright for this article belongs to the Indian Academy of Sciences |
| Keywords: | Fatigue; variable amplitude; plain concrete; dimensional analysis; self-similarity; size-effect |
| Department/Centre: | Division of Mechanical Sciences > Civil Engineering |
| Date Deposited: | 18 Jul 2012 06:25 |
| Last Modified: | 18 Jul 2012 06:25 |
| URI: | http://eprints.iisc.ac.in/id/eprint/44546 |
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