{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T01:52:39Z","timestamp":1773885159105,"version":"3.50.1"},"reference-count":50,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T00:00:00Z","timestamp":1565049600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Development of railway infrastructure at the turn of the 20th and 21st centuries, as well as the speeds of trains in passenger and freight traffic are the result of improving the structure of modern rail vehicles and railway infrastructure optimization. The structure of the railway surface, which enables high speeds and transferring ever greater loads and pressures of up to 25\u201330 t\/vehicle axis, must meet very strict strength and durability requirements. This paper discusses mathematical and numerical tools used in simulation and experimental tests of railway surfaces, as well as its selected elements. Issues addressed in this paper concern, among others, modeling of the railway track, calculations related to its static and dynamic loading, and simulation of the technological process of selected elements of railway turnout. Selected results of the simulation tests on numerical models showing their behavior under different loads are also presented in this paper. The concept of symmetry is included in the possibility of applying the method described in the article both for testing other sections of railway lines, as well as for testing other elements in which stresses occur.<\/jats:p>","DOI":"10.3390\/sym11081014","type":"journal-article","created":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T03:09:08Z","timestamp":1565147348000},"page":"1014","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":25,"title":["Finite Element Method in Assessing Strength Properties of a Railway Surface and Its Elements"],"prefix":"10.3390","volume":"11","author":[{"given":"Jacek","family":"Kukulski","sequence":"first","affiliation":[{"name":"Faculty of Transport, Warsaw University of Technology, 00-662 Warsaw, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7582-4536","authenticated-orcid":false,"given":"Marianna","family":"Jacyna","sequence":"additional","affiliation":[{"name":"Faculty of Transport, Warsaw University of Technology, 00-662 Warsaw, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6885-7738","authenticated-orcid":false,"given":"Piotr","family":"Go\u0142\u0119biowski","sequence":"additional","affiliation":[{"name":"Faculty of Transport, Warsaw University of Technology, 00-662 Warsaw, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,8,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"47","DOI":"10.5604\/01.3001.0010.5842","article-title":"Conception of modernization of a line section example in the context of a fast railway connect","volume":"44","author":"Mikulski","year":"2017","journal-title":"Arch. 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