{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T06:35:06Z","timestamp":1773815706230,"version":"3.50.1"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"1","license":[{"start":{"date-parts":[[2020,8,12]],"date-time":"2020-08-12T00:00:00Z","timestamp":1597190400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,8,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We consider an equilibrium problem for an elastic body with a crack, on the faces of which unilateral non-penetration conditions and Coulomb friction are realized. This problem can be formulated as quasi-variational inequality. To solve it, the successive approximation method is applied. On each outer step of this method, we solve an auxiliary problem with given friction. We solve the auxiliary problem by using modified Lagrange functionals. Numerical results are presented.<\/jats:p>","DOI":"10.1515\/comp-2020-0147","type":"journal-article","created":{"date-parts":[[2020,8,18]],"date-time":"2020-08-18T07:52:50Z","timestamp":1597737170000},"page":"276-282","source":"Crossref","is-referenced-by-count":4,"title":["Modified duality methods for solving an elastic crack problem with Coulomb friction on the crack faces"],"prefix":"10.1515","volume":"10","author":[{"given":"Robert V.","family":"Namm","sequence":"first","affiliation":[{"name":"Computing Center of the Far Eastern Branch of the Russian Academy of Sciences, Khabarovsk, Russia"}]},{"given":"Georgiy I.","family":"Tsoy","sequence":"additional","affiliation":[{"name":"Computing Center of the Far Eastern Branch of the Russian Academy of Sciences, Khabarovsk, Russia"}]}],"member":"374","container-title":["Open Computer Science"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/comp\/10\/1\/article-p276.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/downloadpdf\/journals\/comp\/10\/1\/article-p276.xml","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,2,28]],"date-time":"2021-02-28T03:22:44Z","timestamp":1614482564000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/comp-2020-0147\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8,12]]},"references-count":0,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1515\/comp-2020-0147","relation":{},"ISSN":["2299-1093"],"issn-type":[{"value":"2299-1093","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,8,12]]}}}