Effects of Temperature on the Relationship between Mode-I Fracture Toughness and Tensile Strength of Rock
Fracture toughness is used to characterize rock resistance to fracturing and it is important in theoretical research and engineering applications. Mode-I fracture toughness can be predicted on the basis of an empirical relationship between fracture toughness (<i>K<sub>IC</sub></...
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MDPI AG
2019-03-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/9/7/1326 |
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| author | Gan Feng Xiao-chuan Wang Yong Kang Shi-gang Luo Yao-qing Hu |
| author_facet | Gan Feng Xiao-chuan Wang Yong Kang Shi-gang Luo Yao-qing Hu |
| author_sort | Gan Feng |
| collection | DOAJ |
| description | Fracture toughness is used to characterize rock resistance to fracturing and it is important in theoretical research and engineering applications. Mode-I fracture toughness can be predicted on the basis of an empirical relationship between fracture toughness (<i>K<sub>IC</sub></i>) and tensile strength (<i>σ<sub>t</sub></i>). In underground engineering, rocks are often subjected to different temperatures. Therefore, this paper explores the effect of temperature on the relationship between mode-I fracture toughness and tensile strength. The results show that the change trends in the <i>K<sub>IC</sub></i> and <i>σ<sub>t</sub></i> values of rocks at temperatures from 20 °C to 600 °C are broadly consistent with each other. For rocks heat-treated to the same temperature, the <i>K<sub>IC</sub></i> of the rock increases with an increase in <i>σ<sub>t</sub></i>. This positive correlation between <i>K<sub>IC</sub></i> and <i>σ<sub>t</sub></i> is different in rocks heat-treated to different temperatures. Critical crack propagation radius (<i>r<sub>IC</sub></i>) is an important factor in the relationship between <i>K<sub>IC</sub></i> and <i>σ<sub>t</sub></i> and is related to the type of rock and the conditions under which it is tested. For the same rock, <i>r<sub>IC</sub></i> is quite different after it has been exposed to different temperatures. The positive correlation between <i>K<sub>IC</sub></i> and <i>σ<sub>t</sub></i> results from a similarity in the fracture morphology and properties of failure when rock is destroyed in fracture and tensile tests. |
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| language | English |
| last_indexed | 2024-12-21T21:27:43Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
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| series | Applied Sciences |
| spelling | doaj.art-5b8a0affac504bad870fd41831d181ac2022-12-21T18:49:42ZengMDPI AGApplied Sciences2076-34172019-03-0197132610.3390/app9071326app9071326Effects of Temperature on the Relationship between Mode-I Fracture Toughness and Tensile Strength of RockGan Feng0Xiao-chuan Wang1Yong Kang2Shi-gang Luo3Yao-qing Hu4Hubei Key Laboratory of Waterjet Theory and New Technology, Wuhan University, Wuhan 430072, ChinaHubei Key Laboratory of Waterjet Theory and New Technology, Wuhan University, Wuhan 430072, ChinaHubei Key Laboratory of Waterjet Theory and New Technology, Wuhan University, Wuhan 430072, ChinaThe Key Laboratory of Safety for Geotechnical and Structural Engineering of Hubei Province, School of Civil Engineering, Wuhan University, Wuhan 430072, ChinaInstitute of Mining Technology, Taiyuan University of Technology, Taiyuan 030024, ChinaFracture toughness is used to characterize rock resistance to fracturing and it is important in theoretical research and engineering applications. Mode-I fracture toughness can be predicted on the basis of an empirical relationship between fracture toughness (<i>K<sub>IC</sub></i>) and tensile strength (<i>σ<sub>t</sub></i>). In underground engineering, rocks are often subjected to different temperatures. Therefore, this paper explores the effect of temperature on the relationship between mode-I fracture toughness and tensile strength. The results show that the change trends in the <i>K<sub>IC</sub></i> and <i>σ<sub>t</sub></i> values of rocks at temperatures from 20 °C to 600 °C are broadly consistent with each other. For rocks heat-treated to the same temperature, the <i>K<sub>IC</sub></i> of the rock increases with an increase in <i>σ<sub>t</sub></i>. This positive correlation between <i>K<sub>IC</sub></i> and <i>σ<sub>t</sub></i> is different in rocks heat-treated to different temperatures. Critical crack propagation radius (<i>r<sub>IC</sub></i>) is an important factor in the relationship between <i>K<sub>IC</sub></i> and <i>σ<sub>t</sub></i> and is related to the type of rock and the conditions under which it is tested. For the same rock, <i>r<sub>IC</sub></i> is quite different after it has been exposed to different temperatures. The positive correlation between <i>K<sub>IC</sub></i> and <i>σ<sub>t</sub></i> results from a similarity in the fracture morphology and properties of failure when rock is destroyed in fracture and tensile tests.https://www.mdpi.com/2076-3417/9/7/1326rockfracture toughnesstensile strengthtemperaturecrack propagation radius |
| spellingShingle | Gan Feng Xiao-chuan Wang Yong Kang Shi-gang Luo Yao-qing Hu Effects of Temperature on the Relationship between Mode-I Fracture Toughness and Tensile Strength of Rock Applied Sciences rock fracture toughness tensile strength temperature crack propagation radius |
| title | Effects of Temperature on the Relationship between Mode-I Fracture Toughness and Tensile Strength of Rock |
| title_full | Effects of Temperature on the Relationship between Mode-I Fracture Toughness and Tensile Strength of Rock |
| title_fullStr | Effects of Temperature on the Relationship between Mode-I Fracture Toughness and Tensile Strength of Rock |
| title_full_unstemmed | Effects of Temperature on the Relationship between Mode-I Fracture Toughness and Tensile Strength of Rock |
| title_short | Effects of Temperature on the Relationship between Mode-I Fracture Toughness and Tensile Strength of Rock |
| title_sort | effects of temperature on the relationship between mode i fracture toughness and tensile strength of rock |
| topic | rock fracture toughness tensile strength temperature crack propagation radius |
| url | https://www.mdpi.com/2076-3417/9/7/1326 |
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