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Materials 2013, 6(8), 3241-3253; doi:10.3390/ma6083241
Article

Dynamic Initiation and Propagation of Multiple Cracks in Brittle Materials

1,* , 1,2
 and
1
1 Department of Building Engineering, Tongji University, 1239 Siping Road, Shanghai 200092, China 2 Tongji Architectural Design (Group) Co., Ltd., 1239 Siping Road, Shanghai 200092, China
* Author to whom correspondence should be addressed.
Received: 31 May 2013 / Revised: 10 July 2013 / Accepted: 24 July 2013 / Published: 31 July 2013
(This article belongs to the Section Structure Analysis and Characterization)
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Abstract

Brittle materials such as rock and ceramic usually exhibit apparent increases of strength and toughness when subjected to dynamic loading. The reasons for this phenomenon are not yet well understood, although a number of hypotheses have been proposed. Based on dynamic fracture mechanics, the present work offers an alternate insight into the dynamic behaviors of brittle materials. Firstly, a single crack subjected to stress wave excitations is investigated to obtain the dynamic crack-tip stress field and the dynamic stress intensity factor. Second, based on the analysis of dynamic stress intensity factor, the fracture initiation sizes and crack size distribution under different loading rates are obtained, and the power law with the exponent of −2/3 is derived to describe the fracture initiation size. Third, with the help of the energy balance concept, the dynamic increase of material strength is directly derived based on the proposed multiple crack evolving criterion. Finally, the model prediction is compared with the dynamic impact experiments, and the model results agree well with the experimentally measured dynamic increasing factor (DIF).
Keywords: brittle materials; dynamic fracture; fragmentation; mechanical properties; strain rate effect; dynamic damage evolution brittle materials; dynamic fracture; fragmentation; mechanical properties; strain rate effect; dynamic damage evolution
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.

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Li, J.; Huang, Q.; Ren, X. Dynamic Initiation and Propagation of Multiple Cracks in Brittle Materials. Materials 2013, 6, 3241-3253.

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