{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T12:03:59Z","timestamp":1747224239456,"version":"3.40.5"},"reference-count":20,"publisher":"Trans Tech Publications, Ltd.","license":[{"start":{"date-parts":[[2013,10,31]],"date-time":"2013-10-31T00:00:00Z","timestamp":1383177600000},"content-version":"vor","delay-in-days":30,"URL":"https:\/\/www.scientific.net\/PolicyAndEthics\/PublishingPolicies"},{"start":{"date-parts":[[2013,10,31]],"date-time":"2013-10-31T00:00:00Z","timestamp":1383177600000},"content-version":"tdm","delay-in-days":30,"URL":"https:\/\/www.scientific.net\/license\/TDM_Licenser.pdf"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["AMR"],"abstract":"<jats:p>Ice loads is one of the most important parameters which should be taken into consideration for arctic structures. Ice load highly depends on the ice thickness. It is always recommended to consider the ice thickness data from field observations. However if data is not available it is necessary to calculate the thicknesses of ice level. Calculation is also important for the areas where the thermal fluxes through structure should be taken into the consideration. In this work numerical simulation of Stefan problem for determining of ice level thickness is presented. The results show good correlation between empirical, experimental data and the results from finite element simulation of Stefan problem.<\/jats:p>","DOI":"10.4028\/www.scientific.net\/amr.834-836.1448","type":"journal-article","created":{"date-parts":[[2013,10,31]],"date-time":"2013-10-31T15:06:31Z","timestamp":1383231991000},"page":"1448-1454","source":"Crossref","is-referenced-by-count":11,"title":["Numerical Calculation of the Ice Grow and Empirical Calculation Results"],"prefix":"10.4028","volume":"834-836","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8650-2375","authenticated-orcid":false,"given":"Dmitry","family":"Sharapov","sequence":"first","affiliation":[{"name":"Polytechnical University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Karl","family":"Shkhinek","sequence":"additional","affiliation":[{"name":"State Polytechnical University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2457","published-online":{"date-parts":[[2013,10]]},"reference":[{"key":"1144087","unstructured":"API RP-2N Second Edition August 14, (1995)."},{"key":"1144088","unstructured":"ISO 19906, Petroleum and natural gas industries \u2013 Arctic offshore structures, (2010)."},{"key":"1144089","unstructured":"VSN \u2013 41. 88. 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Tomsk: Nauchnye Trudy layreatov Vserossiyskogo konkursa studentov I aspirantov v oblasti nauk o Zemle v ramkach vserossiyskogo festivaly nauki, Izdatel'stvo TPU, 2011. (rus)."},{"key":"1144094","unstructured":"Sharapov D.A., Shkhinek K.N., Ledovye nagruzki na vmerzshie sooruzheniya [Ice loads on freeze-in structures]. Saint-Petersburg: Processing's of RAO\/CIS Offshore 2011. (rus)."},{"key":"1144095","unstructured":"Sharapov D.A., Shkhinek K.N., Obrazovanie ledovykh vorotnikov na stal'nykh sooruzheniyakh vertikal'nogo profilya [Developing of the ice collars on vertical structures]. Saint-Petersburg: XXXIX Mezhdunarodnaya nauchno-prakticheskaya konferentsiya Nedelya nauki SPbSPU\": Materialy dokladov, Izdatel, stvo SPbSPU, 2011. (rus)."},{"key":"1144096","unstructured":"Liferov P., Shkhinek K.N., Vitali L., Serre N., Ice gouging study - Actions and action effects, Recent Development of Offshore Engineering in Cold Regions, Vols 1 and 2, Proceedings Pages: 774-786, (2007)."},{"key":"1144097","unstructured":"Loset S., Shkhinek K., Gudmestad O.T., Hoyland K.,. Actions from Ice on Arctic Offshore and coastal Structures: Student's Book for Institutes of Higher Education. \u2013 St. Petersburg: Publisher LAN, 2006. \u2013 272pp, ill."},{"key":"1144098","doi-asserted-by":"publisher","unstructured":"Loset S., Shkhinek K.N., Gudmestad O.T., Strass P., Michalenko E., Frederking R., Karna T., Comparison of the physical environment of some Arctic seas, COLD REGIONS SCIENCE AND TECHNOLOGY Volume: 29 Issue: 3 Pages: 201-214, (1999).","DOI":"10.1016\/s0165-232x(99)00031-2"},{"key":"1144099","doi-asserted-by":"publisher","unstructured":"Shafrova S., Hoyland K., The freeze-bond strength in first-year ice ridges. Small-scale field and laboratory experiments, Cold Regions Science and Technology Volume 54, Issue 1, Pages 54\u201371, (2008).","DOI":"10.1016\/j.coldregions.2007.11.005"},{"key":"1144100","doi-asserted-by":"publisher","unstructured":"Sharapov D., Shkhinek K., HORIZONTAL ICE LOADS ON THE ADFREEZE TO THE ICE LEVEL STRUCTURES\/ Magazine of Civil Engineering, St. Petersburg, 2013. \u21166(41) (acc. ).","DOI":"10.1016\/j.coastaleng.2014.02.005"},{"key":"1144101","unstructured":"Sharapov D.A., Dr. Shkhinek K.N., Bolshev A.S., Gorizontalnie ledovie nagruzki na vmerzshie sooruzhsheniya, Rossiyskiy morskoy registr sudochodstva, nauchno-technitcheskiy sbornik, vipusk 35, 2012, (rus)."},{"key":"1144102","unstructured":"Shkhinek K., Blanchet D., Jilenkov A., Shafrova S., Ice loads dependence on the field heterogeneity, Recent Development of Offshore Engineering in Cold Regions, Vols 1 and 2, Proceedings Pages: 245-255, (2007)."},{"key":"1144103","unstructured":"Shkhinek K.N., Blanchet D., Croasdale, K., Matskevitch, D.G., Bhat, S. 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