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Materials 2016, 9(12), 1030; doi:10.3390/ma9121030

A Size and Boundary Effects Model for Quasi-Brittle Fracture

ICUBE Laboratory, CNRS, National Institute of Applied Sciences of Strasbourg, 24 Boulevard de la Victoire, Strasbourg 67084, France
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Academic Editor: Filippo Berto
Received: 27 November 2016 / Revised: 18 December 2016 / Accepted: 19 December 2016 / Published: 21 December 2016
(This article belongs to the Special Issue The Brittle Failure of Different Materials)
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Abstract

The fracture behaviors of quasi-brittle materials are commonly specimen size (size effect) and crack size (boundary effect) dependent. In this study, a new failure model is developed for characterizing the size and boundary effects. The derivative of the energy release rate is firstly introduced to predict the nominal strength dominated by the strength mechanism. Combined with the energy criterion for the energy mechanism, an asymptotic model is developed to capture the effect of any crack size on the nominal strength, and its expression for geometrically similar specimens is also established, which is able to characterize the size effect. Detailed comparisons of the proposed model with the size effect law and the boundary effect model are performed, respectively. The nominal strength predictions based on the proposed model are validated with the experimental results of cracked three-point bending beam specimens made of concrete, of limestone and of hardened cement paste and compared with the model predictions given by the size effect law and the boundary effect model. View Full-Text
Keywords: nominal strength; size effect; boundary effect; failure model; quasi-brittle nominal strength; size effect; boundary effect; failure model; quasi-brittle
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Gao, X.; Koval, G.; Chazallon, C. A Size and Boundary Effects Model for Quasi-Brittle Fracture. Materials 2016, 9, 1030.

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