{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T16:04:00Z","timestamp":1774454640126,"version":"3.50.1"},"reference-count":29,"publisher":"SAGE Publications","issue":"11","license":[{"start":{"date-parts":[[2018,11,1]],"date-time":"2018-11-01T00:00:00Z","timestamp":1541030400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"name":"the Opening Project of Work Safety Key Lab on Prevention and Control of Gas and Roof Disasters for Southern Coal Mines, Hunan Provincial Key Laboratory of Safe Mining Techniques of Coal Mine","award":["2017"],"award-info":[{"award-number":["2017"]}]},{"name":"the Opening Project of State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology","award":["KFJJ17-12M"],"award-info":[{"award-number":["KFJJ17-12M"]}]},{"name":"the Open Research Fund of State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences","award":["Z013010"],"award-info":[{"award-number":["Z013010"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51874112;51774107"],"award-info":[{"award-number":["51874112;51774107"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"the State Engineering Laboratory of Highway Maintenance Technology, Changsha University of Science & Technology","award":["kfj170108"],"award-info":[{"award-number":["kfj170108"]}]},{"name":"the Open Program of State Key Laboratory for GeoMechanics and Deep Underground Engineering, China University of Mining & Technology","award":["SKLGDUEK1406"],"award-info":[{"award-number":["SKLGDUEK1406"]}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Distributed Sensor Networks"],"published-print":{"date-parts":[[2018,11]]},"abstract":"<jats:p> Time-dependent behavior of subcritical crack growth is one of the main characteristics in rocks. The double-torsion test is commonly used to study the slow crack growth behavior of brittle and quasi-brittle materials. However, double-torsion specimen is difficult to processing, the process of the laboratory test is irreversible, and the current numerical simulation is difficult to consider the time-dependent behavior, and so on. In view of all above problems, an idealized particle model was built, and the crack was identified in this article, based on the theory of particle flow. The numerical model was built using Particle Flow Code in 3 Dimensions, and the macromechanical and micromechanical parameters of the model were calibrated. The process of the macroscopic crack propagation and its evolution were analyzed. The intrinsic relations with the load, the displacement, and the time were established. The results show that the Particle Flow Code in 3 Dimensions can reproduce the time-dependent behavior of subcritical crack growth in double-torsion test. And, the peak and the law of the curves are in good agreement with the laboratory test results. Therefore, the Particle Flow Code in 3 Dimensions numerical simulation can be used as a new effective method to reveal the slow crack growth behavior, to get the relevant parameters such as V, K<jats:sub>I<\/jats:sub>, and K<jats:sub>IC<\/jats:sub>, and to build the relationship between V and K<jats:sub>I<\/jats:sub>. The results of this article will have some reference value for the simulation and application of double-torsion test. <\/jats:p>","DOI":"10.1177\/1550147718812019","type":"journal-article","created":{"date-parts":[[2018,11,14]],"date-time":"2018-11-14T13:19:32Z","timestamp":1542201572000},"page":"155014771881201","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":7,"title":["Time-dependent behavior of subcritical crack growth for rock plate: Experimental and numerical study"],"prefix":"10.1177","volume":"14","author":[{"given":"Haiping","family":"Yuan","sequence":"first","affiliation":[{"name":"School of Civil Engineering, Hefei University of Technology, Hefei, China"},{"name":"State Engineering Laboratory of Highway Maintenance Technology, Changsha University of Science and Technology, Changsha, China"}]},{"given":"Feng","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Hefei University of Technology, Hefei, China"}]},{"given":"Yan","family":"Liu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing, China"}]},{"given":"Hanbing","family":"Bian","sequence":"additional","affiliation":[{"name":"LEM3, CNRS, Universit\u00e9 de Lorraine, Metz, France"}]},{"given":"Wen","family":"Chen","sequence":"additional","affiliation":[{"name":"LEM3, CNRS, Universit\u00e9 de Lorraine, Metz, France"}]},{"given":"Yixian","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Hefei University of Technology, Hefei, China"},{"name":"State Key Laboratory of Coal Resources and Safety Mining, China University of Mining and Technology, Xuzhou, China"},{"name":"State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, 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