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Li J, Huang Q, Ren X. Dynamic Initiation and Propagation of Multiple Cracks in Brittle Materials. Materials (Basel). 2013;6(8):3241-3253doi: 10.3390/ma6083241.
Li, J., Huang, Q., & Ren, X. (2013). Dynamic Initiation and Propagation of Multiple Cracks in Brittle Materials. Materials (Basel, Switzerland), 6(8), 3241-3253. https://doi.org/10.3390/ma6083241
Li, Jie, et al. "Dynamic Initiation and Propagation of Multiple Cracks in Brittle Materials." Materials (Basel, Switzerland) vol. 6,8 (2013): 3241-3253. doi: https://doi.org/10.3390/ma6083241
Li J, Huang Q, Ren X. Dynamic Initiation and Propagation of Multiple Cracks in Brittle Materials. Materials (Basel). 2013 Jul 31;6(8):3241-3253. doi: 10.3390/ma6083241. PMID: 28811433; PMCID: PMC5521245.
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Materials (Basel). 2013 Jul 31;6(8):3241-3253. doi: 10.3390/ma6083241.

Dynamic Initiation and Propagation of Multiple Cracks in Brittle Materials.

Materials (Basel, Switzerland)

Jie Li, Qiaoping Huang, Xiaodan Ren

Affiliations

  1. Department of Building Engineering, Tongji University, 1239 Siping Road, Shanghai 200092, China. [email protected].
  2. Department of Building Engineering, Tongji University, 1239 Siping Road, Shanghai 200092, China. [email protected].
  3. Tongji Architectural Design (Group) Co., Ltd., 1239 Siping Road, Shanghai 200092, China. [email protected].
  4. Department of Building Engineering, Tongji University, 1239 Siping Road, Shanghai 200092, China. [email protected].

PMID: 28811433 PMCID: PMC5521245 DOI: 10.3390/ma6083241

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 damage evolution; dynamic fracture; fragmentation; mechanical properties; strain rate effect

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