A calculation model to assess the crack propagation length of rock block in clastic flow
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A calculation model to assess the crack propagation length of rock block in clastic flow
LIU Yang1,2,3 YOU Yong1,3*
https://orcid.org/0000-0002-8332-5024; e-mail: [email protected] https://orcid.org/0000-0001-7863-8686;
LIU Jin-feng1,3
https://orcid.org/0000-0002-5542-827X; e-mail: [email protected] https://orcid.org/0000-0003-4522-8503; e-mail: [email protected]
ZHAO Shu-xi1,2,3
YANG Dong-xu1,2,3,4 LIU Dao-chuan5 LIU Lin6
e-mail: [email protected]
https://orcid.org/0000-0002-6350-2214; e-mail: [email protected]
https://orcid.org/0000-0002-7344-1902; e-mail: [email protected]
https://orcid.org/0000-0002-6924-1000; e-mail: [email protected]
XIE Yan-fang7
https://orcid.org/0000-0003-0606-1747; e-mail: [email protected]
YANG Kai-cheng8
https://orcid.org/0000-0003-3026-6590; e-mail: [email protected]
*Corresponding author 1 Institute of Mountain Hazards and Environment, Chinese Academy of Sciences, Chengdu 610041, China 2 University of Chinese Academy of Sciences, Beijing 100049, China 3 Key Laboratory of Mountain Hazards and Surface Process, Chinese Academy of Sciences, Chengdu 610041, China 4 Institute of Exploration Technology, Chinese Academy of Geological Sciences, Chengdu 611734, China 5 Sichuan Highway Planning, Survey, Design and Research Institute Ltd, Chengdu 610041, China 6 Jiuquan Satellite Launch Center, Jiuquan 732750, China 7 Southwest Electric Power Design Institute co.,LTD. of China Power Engineering Consulting Group, Chengdu 610041, China 8 Kunming Engineering co.,LTD, of Power Construction Corporation of China, Kunming 650216, China Citation: Liu Y, You Y, Liu JF, et al. (2020) A calculation model to assess the crack propagation length of rock block in clastic flow. Journal of Mountain Science 17(11). https://doi.org/10.1007/s11629-020-6207-z
© Science Press, Institute of Mountain Hazards and Environment, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract: The primary cracks in the rock block undergo series of steps and finally disintegrate, during this procession, the radius affects the impact force of rock block in clastic flow. Therefore, it is essential to figure out the evolution mechanism of crack propagation for the design of engineering protection. In this study, based on fracture mechanics and Hertz contact theory, collision happened between Received: 18-May-2020 Revised: 13-Jul-2020 Accepted: 18-Aug-2020
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rock block and slope surface is assumed to be elastic contact. Based on the above assumption, the critical impact force of crack propagation is obtained, and a model used to calculate the crack propagation length in a single collision is established. Besides, a rock fall site in Jiuzhai Valley was used to verify the calculation model. According to the model, several key factors were identified to influence crack propagation length including falling height, initial equivalent radius, and recovery coefficient of slope surface. Moreover, as a result of the orthogonal experiment, the influence of
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