Influence of grain size on granite strength and toughness with reliability specified by normal distribution

Chunguo Zhang, Xiaozhi Hu, Zhimin Wu, Qingbin Li

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

This study presents a simple fracture model linking average grain size G of granite to tensile strength ft and fracture toughness KIC. This model only requires the peak load Pmax measurements of small notched samples to determine both ft and KIC. The influence of G was considered for: (i) quasi-stable crack growth before Pmax, and (ii) fracture transition from ft to KIC criterion. In-depth analysis was carried out on three-point-bending (3-p-b) results from granite with G ≈ 2.5 mm. The 3-p-b specimens have two different beam widths W = 30 and 70 mm, and the same span/width ratio S/W of 4. Another granite with G ≈ 10 mm reported in literature was also analysed to show the influence of different grain size on both ft and KIC. Comprehensive data on rock fracture are explained and compared with the results of this study to substantiate findings of this study. Experimental scatters in Pmax with different initial notch lengths a0 = 0 – 53 mm were analysed by normal distribution, following a recent study (Zhang et al., 2018). The new model with normal distribution predicted the mean and upper and lower limits with 96% reliability covering the experimental scatters.

Original languageEnglish
Pages (from-to)534-544
Number of pages11
JournalTheoretical and Applied Fracture Mechanics
Volume96
DOIs
Publication statusPublished - 1 Aug 2018

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Toughness
Granite
Grain Size
granite
Normal distribution
toughness
normal density functions
Gaussian distribution
grain size
Scatter
notches
fracture strength
tensile strength
Fracture Toughness
Fracture toughness
Crack propagation
Tensile Strength
Notch
Crack Growth
coverings

Cite this

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abstract = "This study presents a simple fracture model linking average grain size G of granite to tensile strength ft and fracture toughness KIC. This model only requires the peak load Pmax measurements of small notched samples to determine both ft and KIC. The influence of G was considered for: (i) quasi-stable crack growth before Pmax, and (ii) fracture transition from ft to KIC criterion. In-depth analysis was carried out on three-point-bending (3-p-b) results from granite with G ≈ 2.5 mm. The 3-p-b specimens have two different beam widths W = 30 and 70 mm, and the same span/width ratio S/W of 4. Another granite with G ≈ 10 mm reported in literature was also analysed to show the influence of different grain size on both ft and KIC. Comprehensive data on rock fracture are explained and compared with the results of this study to substantiate findings of this study. Experimental scatters in Pmax with different initial notch lengths a0 = 0 – 53 mm were analysed by normal distribution, following a recent study (Zhang et al., 2018). The new model with normal distribution predicted the mean and upper and lower limits with 96{\%} reliability covering the experimental scatters.",
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Influence of grain size on granite strength and toughness with reliability specified by normal distribution. / Zhang, Chunguo; Hu, Xiaozhi; Wu, Zhimin; Li, Qingbin.

In: Theoretical and Applied Fracture Mechanics, Vol. 96, 01.08.2018, p. 534-544.

Research output: Contribution to journalArticle

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