{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,22]],"date-time":"2025-11-22T11:15:32Z","timestamp":1763810132338,"version":"3.40.3"},"publisher-location":"Cham","reference-count":14,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030336943"},{"type":"electronic","value":"9783030336950"}],"license":[{"start":{"date-parts":[[2019,11,2]],"date-time":"2019-11-02T00:00:00Z","timestamp":1572652800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020]]},"DOI":"10.1007\/978-3-030-33695-0_9","type":"book-chapter","created":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T16:04:57Z","timestamp":1572624297000},"page":"107-120","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Mathematical Modelling of Spatial Deformation Process of Soil Massif with Free Surface"],"prefix":"10.1007","author":[{"given":"Anatoliy","family":"Vlasyuk","sequence":"first","affiliation":[]},{"given":"Nataliia","family":"Zhukovska","sequence":"additional","affiliation":[]},{"given":"Viktor","family":"Zhukovskyy","sequence":"additional","affiliation":[]},{"given":"Rajab","family":"Hesham","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,11,2]]},"reference":[{"key":"9_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-007-2739-7","volume-title":"Encyclopedia of Thermal Stresses","author":"RB Hetnarski","year":"2014","unstructured":"Hetnarski, R.B.: Encyclopedia of Thermal Stresses. Springer, Dordrecht (2014)"},{"issue":"21\u201322","key":"9_CR2","doi-asserted-by":"publisher","first-page":"9316","DOI":"10.1016\/j.apm.2016.06.010","volume":"40","author":"M Jafari","year":"2016","unstructured":"Jafari, M.: Deformation modelling of structures enriched by inter-element continuity condition based on multi-sensor data fusion. Appl. Math. Model. 40(21\u201322), 9316\u20139326 (2016). \nhttps:\/\/doi.org\/10.1016\/j.apm.2016.06.010","journal-title":"Appl. Math. Model."},{"issue":"18","key":"9_CR3","doi-asserted-by":"publisher","first-page":"1781","DOI":"10.1002\/nag.2700","volume":"41","author":"D Kong","year":"2017","unstructured":"Kong, D., Martin, C.M., Byrne, B.W.: Modelling large plastic deformations of cohesive soils using sequential limit analysis. Int. J. Numer. Anal. Methods Geomech. 41(18), 1781\u20131806 (2017). \nhttps:\/\/doi.org\/10.1002\/nag.2700","journal-title":"Int. J. Numer. Anal. Methods Geomech."},{"key":"9_CR4","unstructured":"Kovalenko, A.D.: Thermoelasticity. K.: High School, 216 p. (1975). (in Russian)"},{"key":"9_CR5","unstructured":"Kuzlo, M.T., Filatova, I.A.: Investigation of the influence of salt solutions concentration on deformation characteristics of soils. Hydromelioration and hydrotechnical construction. Collection of scientific works, Rivne: National University of Water and Environmental Engineering, issue 31, pp. 175\u2013182 (2007). (in Ukrainian)"},{"key":"9_CR6","doi-asserted-by":"publisher","unstructured":"Kuzlo, M.T., Moshynskyi, V.S., Martyniuk, P.M.: Mathematical modelling of soil Massif\u2019s deformations under its drainage. Int. J. Appl. Math. 31(6) (2019). \nhttps:\/\/doi.org\/10.12732\/ijam.v31i6.5","DOI":"10.12732\/ijam.v31i6.5"},{"issue":"2","key":"9_CR7","doi-asserted-by":"publisher","first-page":"294","DOI":"10.1177\/1056789514536067","volume":"24","author":"O Larin","year":"2015","unstructured":"Larin, O., Vodka, O.: A probability approach to the estimation of the process of accumulation of the high-cycle fatigue damage considering the natural aging of a material. Int. J. Damage Mech. 24(2), 294\u2013310 (2015). \nhttps:\/\/doi.org\/10.1177\/1056789514536067","journal-title":"Int. J. Damage Mech."},{"issue":"2","key":"9_CR8","doi-asserted-by":"publisher","first-page":"72","DOI":"10.18280\/ama_c.730206","volume":"73","author":"A Safonyk","year":"2018","unstructured":"Safonyk, A., Martynov, S., Kunytsky, S., Pinchuk, O.: Mathematical modelling of regeneration the filtering media bed of granular filters. Adv. Model. Anal. 73(2), 72\u201378 (2018). \nhttps:\/\/doi.org\/10.18280\/ama_c.730206","journal-title":"Adv. Model. Anal."},{"key":"9_CR9","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1016\/j.ijplas.2017.12.001","volume":"102","author":"Y Sun","year":"2018","unstructured":"Sun, Y., Gao, Y., Zhu, Q.: Fractional order plasticity modelling of state-dependent behaviour of granular soils without using plastic potential. Int. J. Plast. 102, 53\u201369 (2018). \nhttps:\/\/doi.org\/10.1016\/j.ijplas.2017.12.001","journal-title":"Int. J. Plast."},{"key":"9_CR10","doi-asserted-by":"publisher","first-page":"491","DOI":"10.1007\/978-3-319-57774-6_37","volume-title":"Landslide Dynamics: ISDR-ICL Landslide Interactive Teaching Tools","author":"O Trofymchuk","year":"2018","unstructured":"Trofymchuk, O., Kaliukh, I., Klymenkov, O.: TXT-tool 2.380-1.1: monitoring and early warning system of the building constructions of the Livadia Palace, Ukraine. In: Sassa, K., Guzzetti, F., Yamagishi, H., Arbanas, Z., Casagli, N., McSaveney, M., Dang, K. (eds.) Landslide Dynamics: ISDR-ICL Landslide Interactive Teaching Tools, vol. 51, pp. 491\u2013508. Springer, Cham (2018)"},{"key":"9_CR11","doi-asserted-by":"crossref","unstructured":"Vlasyuk, A.P., Zhukovska, N.A., Zhukovskyy, V.V., Klos-Witkowska, A., Pazdriy, I., Iat-sykovska, U. (eds.): Mathematical modelling of three-dimensional problem of soil mass stressed-strained state considering mass and heat transfer. In: 2017 9th IEEE International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS) (2017)","DOI":"10.1109\/IDAACS.2017.8095088"},{"issue":"6","key":"9_CR12","doi-asserted-by":"publisher","first-page":"1386","DOI":"10.1007\/s10891-017-1697-4","volume":"90","author":"AP Vlasyuk","year":"2017","unstructured":"Vlasyuk, A.P., Zhukovskii, V.V.: Mathematical simulation of the migration of radionuclides in a soil medium under nonisothermal conditions with account for catalytic microparticles and nonlinear processes. J. Eng. Phys. Thermophys. 90(6), 1386\u20131398 (2017). \nhttps:\/\/doi.org\/10.1007\/s10891-017-1697-4","journal-title":"J. Eng. Phys. Thermophys."},{"issue":"2","key":"9_CR13","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1007\/s10891-015-1197-3","volume":"88","author":"AP Vlasyuka","year":"2015","unstructured":"Vlasyuka, A.P., Zhukovskaya, N.A.: Mathematical simulation of the stressed-strained state of the foundation of earth dams with an open surface under the influence of heat and mass transfer in the two-dimensional case. J. Eng. Phys. Thermophys. 88(2), 329\u2013341 (2015). \nhttps:\/\/doi.org\/10.1007\/s10891-015-1197-3","journal-title":"J. Eng. Phys. Thermophys."},{"key":"9_CR14","doi-asserted-by":"crossref","unstructured":"Vlasyuk, A.P., Zhukovska, N.A., Zhukovskyy, V.V.: About mathematical modelling of spatial deformation problem of soil massif with free surface. In: Proceedings of International Scientific Conference \u201cComputer Sciences and Information Technologies\u201d (CSIT-2019), vol. 1, pp. 128\u2013131. IEEE (2019)","DOI":"10.1109\/STC-CSIT.2019.8929794"}],"container-title":["Advances in Intelligent Systems and Computing","Advances in Intelligent Systems and Computing IV"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-33695-0_9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,19]],"date-time":"2020-09-19T10:08:40Z","timestamp":1600510120000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-33695-0_9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11,2]]},"ISBN":["9783030336943","9783030336950"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-33695-0_9","relation":{},"ISSN":["2194-5357","2194-5365"],"issn-type":[{"type":"print","value":"2194-5357"},{"type":"electronic","value":"2194-5365"}],"subject":[],"published":{"date-parts":[[2019,11,2]]},"assertion":[{"value":"2 November 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"CSIT","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Conference on Computer Science and Information Technologies","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Lviv","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Ukraine","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"11 September 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"13 September 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"csit2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}