{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,5]],"date-time":"2026-01-05T21:52:11Z","timestamp":1767649931515,"version":"3.38.0"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2010,12,1]],"date-time":"2010-12-01T00:00:00Z","timestamp":1291161600000},"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":[[2010,12]]},"abstract":"<jats:p> The aim of the paper is twofold. First, starting from the three-dimensional theory of linear elasticity, we give a simple justification of Saint-Venant theory for beams with multi-connected cross-section by means of \u0393-convergence. Second, we estimate the error between the three-dimensional problem and the limit problem. <\/jats:p>","DOI":"10.3233\/asy-2010-1013","type":"journal-article","created":{"date-parts":[[2019,11,30]],"date-time":"2019-11-30T00:14:27Z","timestamp":1575072867000},"page":"177-197","source":"Crossref","is-referenced-by-count":3,"title":["Saint-Venant's theory for beams with multi-connected cross-section: Justification and error estimate"],"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: freddi@dimi.uniud.it"}]},{"given":"Fran\u00e7ois","family":"Murat","sequence":"additional","affiliation":[{"name":"Laboratoire Jacques-Louis Lions, Universit\u00e9 Paris VI, Bo\u00eete courrier 187, 75252 Paris Cedex 05, France. E-mail: murat@ann.jussieu.fr"}]},{"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"}]}],"member":"179","published-online":{"date-parts":[[2010,12,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2010-1013","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2010-1013","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,11]],"date-time":"2025-03-11T05:39:35Z","timestamp":1741671575000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2010-1013"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,12]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2010,12]]}},"alternative-id":["10.3233\/ASY-2010-1013"],"URL":"https:\/\/doi.org\/10.3233\/asy-2010-1013","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"type":"print","value":"0921-7134"},{"type":"electronic","value":"1875-8576"}],"subject":[],"published":{"date-parts":[[2010,12]]}}}