{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T13:49:06Z","timestamp":1777902546975,"version":"3.51.4"},"reference-count":37,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2022,6,28]],"date-time":"2022-06-28T00:00:00Z","timestamp":1656374400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52104110, 51774322"],"award-info":[{"award-number":["52104110, 51774322"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004735","name":"Hunan Provincial Natural Science Foundation of China","doi-asserted-by":"crossref","award":["2020JJ5715"],"award-info":[{"award-number":["2020JJ5715"]}],"id":[{"id":"10.13039\/501100004735","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Hunan provincial key research and development Program","award":["2022SK2082"],"award-info":[{"award-number":["2022SK2082"]}]},{"name":"Science and Technology Project of Hunan Natural Resources Department","award":["2021-52"],"award-info":[{"award-number":["2021-52"]}]},{"name":"Hunan Civil Air Defense Research Project","award":["HNRFKJ-2021-07"],"award-info":[{"award-number":["HNRFKJ-2021-07"]}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["SIMULATION"],"published-print":{"date-parts":[[2023,1]]},"abstract":"<jats:p>Frozen heaving failure of fractured rock mass is commonly encountered in engineering in cold regions, which is chiefly caused by the frost heaving pressure arising from the water\u2013ice phase change in the crack. To explore the evolution of frost heaving pressure in penetrating elliptical crack considering water content and water migration, a new theoretical model embodying the frost heaving pressure evolutionary character was established by introducing freezing ratio function. The equivalent thermal expansion coefficient was used to analyze the evolution process of frost heaving pressure under the effect of water\u2013ice phase change, which was then verified. It was found that the evolution process of frost heaving pressure can be divided into three stages: free expansion stage of water\u2013ice phase change, rapid growth stage of frost heaving pressure, and stable stage of frost heaving pressure. Subsequently, the influences of rock thermal expansion effect, properties of rock and ice, and water content of crack on the frost heaving pressure were investigated. The results indicate that the impact of rock thermal expansion on frost heaving pressure is extremely slight, which is negligible. Comparing with the properties of rock, the properties of ice show significant effects on the frost heaving pressure, particularly the Poisson ratio of ice. In the case of identical water migration ratio, the peak frost heaving pressure increases linearly with the water content of crack.<\/jats:p>","DOI":"10.1177\/00375497221107935","type":"journal-article","created":{"date-parts":[[2022,6,29]],"date-time":"2022-06-29T02:44:56Z","timestamp":1656470696000},"page":"41-54","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":11,"title":["Analysis on the evolution of frost heaving pressure of penetrating crack considering water content and migration"],"prefix":"10.1177","volume":"99","author":[{"given":"Shengwen","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Resources and Safety Engineering, Central South University, Changsha, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5924-5163","authenticated-orcid":false,"given":"Hang","family":"Lin","sequence":"additional","affiliation":[{"name":"School of Resources and Safety Engineering, Central South University, Changsha, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yifan","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Resources and Safety Engineering, Central South University, Changsha, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yixian","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Hefei University of Technology, Hefei, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanlin","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Energy and Safety Engineering, Hunan University of Science and Technology, Xiangtan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2022,6,28]]},"reference":[{"key":"bibr1-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/j.coldregions.2019.102951"},{"key":"bibr2-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/j.coldregions.2018.06.015"},{"key":"bibr3-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/j.tafmec.2020.102738"},{"key":"bibr4-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1007\/s11069-021-04699-5"},{"key":"bibr5-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/j.tafmec.2020.102847"},{"key":"bibr6-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijrmms.2021.104822"},{"key":"bibr7-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/j.coldregions.2018.04.011"},{"key":"bibr8-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/j.coldregions.2012.08.008"},{"key":"bibr9-00375497221107935","first-page":"452","volume":"34","author":"Liu Q","year":"2015","journal-title":"Yanshilixue Yu Gongcheng Xuebao\/Chin J Rock Mech Eng"},{"key":"bibr10-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1007\/s00603-022-02837-4"},{"key":"bibr11-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1007\/s00603-016-0932-1"},{"key":"bibr12-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1088\/1742-2140\/aa93ac"},{"key":"bibr13-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/j.coldregions.2020.103056"},{"key":"bibr14-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/S1003-6326(15)63723-2"},{"key":"bibr15-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1007\/s10064-016-0955-6"},{"key":"bibr16-00375497221107935","doi-asserted-by":"crossref","unstructured":"Walder J, Hallet B. A theoretical model of the fracture of rock during freezing. GSA Bulletin. 1985; 96: 336\u2013346.","DOI":"10.1130\/0016-7606(1985)96<336:ATMOTF>2.0.CO;2"},{"key":"bibr17-00375497221107935","first-page":"1572","volume":"37","author":"Liu Q","year":"2015","journal-title":"Chin J Geotech Eng"},{"key":"bibr18-00375497221107935","first-page":"521","volume":"37","author":"Shen Y","year":"2016","journal-title":"Rock Soil Mech"},{"key":"bibr19-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1007\/s12665-020-09051-x"},{"key":"bibr20-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/j.enggeo.2017.12.024"},{"key":"bibr21-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/j.tust.2018.10.012"},{"key":"bibr22-00375497221107935","volume-title":"Numerical experiments on freeze-thaw of soils with coupled thermo-hydro-mechanical FE analysis","author":"Ishikawa T","year":"2015"},{"key":"bibr23-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/j.coldregions.2015.03.013"},{"key":"bibr24-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/j.tafmec.2022.103284"},{"key":"bibr25-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/j.enggeo.2021.106335"},{"key":"bibr26-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1007\/s10064-021-02550-6"},{"key":"bibr27-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1021\/la990799w"},{"key":"bibr28-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1007\/s43452-022-00378-9"},{"key":"bibr29-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1130\/0016-7606(1985)96<336:ATMOTF>2.0.CO;2"},{"key":"bibr30-00375497221107935","first-page":"217","volume":"30","author":"Liu Q","year":"2011","journal-title":"Chin J Rock Mech Eng"},{"key":"bibr31-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1126\/science.1132127"},{"key":"bibr32-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijrmms.2003.12.084"},{"key":"bibr33-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/j.enggeo.2014.11.018"},{"key":"bibr34-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1007\/s00419-022-02136-y"},{"key":"bibr35-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/j.conbuildmat.2020.118862"},{"key":"bibr36-00375497221107935","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4754(00)00270-6"},{"key":"bibr37-00375497221107935","first-page":"407","volume":"1","author":"Sobol IM","year":"1993","journal-title":"Math Modell Comput Exp"}],"container-title":["SIMULATION"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/00375497221107935","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/00375497221107935","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/00375497221107935","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T11:32:41Z","timestamp":1777635161000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/00375497221107935"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6,28]]},"references-count":37,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2023,1]]}},"alternative-id":["10.1177\/00375497221107935"],"URL":"https:\/\/doi.org\/10.1177\/00375497221107935","relation":{},"ISSN":["0037-5497","1741-3133"],"issn-type":[{"value":"0037-5497","type":"print"},{"value":"1741-3133","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,6,28]]}}}