{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T12:55:19Z","timestamp":1769604919079,"version":"3.49.0"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2010,10,1]],"date-time":"2010-10-01T00:00:00Z","timestamp":1285891200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2010,10]]},"abstract":"<jats:p> A two-dimensional model which describes the evolution of a crack in a plate is deduced from a three-dimensional linearly elastic Griffith's type model. The result is achieved by adopting the framework of energetic solutions for rate-independent processes, to model three-dimensional fracture evolution, in conjunction with a variational dimension reduction procedure. <\/jats:p>","DOI":"10.3233\/asy-2010-1003","type":"journal-article","created":{"date-parts":[[2019,11,30]],"date-time":"2019-11-30T00:13:37Z","timestamp":1575072817000},"page":"101-123","source":"Crossref","is-referenced-by-count":7,"title":["Dimension reduction of a crack evolution problem in a linearly elastic plate"],"prefix":"10.1177","volume":"70","author":[{"given":"Lorenzo","family":"Freddi","sequence":"first","affiliation":[{"name":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Udine, via delle Scienze 206, 33100 Udine, Italy. E-mail: lorenzo.freddi@uniud.it"}]},{"given":"Roberto","family":"Paroni","sequence":"additional","affiliation":[{"name":"Dipartimento di Architettura e Pianificazione, Universit\u00e0 degli Studi di Sassari, Palazzo del Pou Salit, Piazza Duomo, 07041 Alghero, Italy. E-mail: paroni@uniss.it"}]},{"given":"Chiara","family":"Zanini","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Udine, via delle Scienze 206, 33100 Udine, Italy. E-mail: chiara.zanini@uniud.it"}]}],"member":"179","published-online":{"date-parts":[[2010,10,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2010-1003","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2010-1003","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,11]],"date-time":"2025-03-11T05:38:01Z","timestamp":1741671481000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2010-1003"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,10]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2010,10]]}},"alternative-id":["10.3233\/ASY-2010-1003"],"URL":"https:\/\/doi.org\/10.3233\/asy-2010-1003","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,10]]}}}