{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:26:40Z","timestamp":1787318800654,"version":"build-2736575974"},"reference-count":51,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"DOI":"10.13039\/501100002428","name":"Austrian Science Fund","doi-asserted-by":"publisher","award":["P 27052"],"award-info":[{"award-number":["P 27052"]}],"id":[{"id":"10.13039\/501100002428","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002428","name":"Austrian Science Fund","doi-asserted-by":"publisher","award":["I 2375"],"award-info":[{"award-number":["I 2375"]}],"id":[{"id":"10.13039\/501100002428","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002428","name":"Austrian Science Fund","doi-asserted-by":"publisher","award":["F 65"],"award-info":[{"award-number":["F 65"]}],"id":[{"id":"10.13039\/501100002428","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001821","name":"Vienna Science and Technology Fund","doi-asserted-by":"publisher","award":["MA14-009"],"award-info":[{"award-number":["MA14-009"]}],"id":[{"id":"10.13039\/501100001821","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2019,1]]},"abstract":"<jats:p>We present a novel variational approach to dynamic perfect plasticity. This is based on minimizing over entire trajectories parameter-dependent convex functionals of weighted-inertia-dissipation-energy (WIDE) type. Solutions to the system of dynamic perfect plasticity are recovered as limits of minimizing trajectories as the parameter goes to zero. The crucial compactness is achieved by means of a time discretization and a variational convergence argument.<\/jats:p>","DOI":"10.1137\/17m1148864","type":"journal-article","created":{"date-parts":[[2019,3,19]],"date-time":"2019-03-19T12:31:40Z","timestamp":1552998700000},"page":"672-730","source":"Crossref","is-referenced-by-count":11,"title":["Dynamic Perfect Plasticity as Convex Minimization"],"prefix":"10.1137","volume":"51","author":[{"given":"Elisa","family":"Davoli","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3969-2716","authenticated-orcid":true,"given":"Ulisse","family":"Stefanelli","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2019,3,19]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2010.04.047"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2011.04.014"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2010.12.027"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1137\/13091909X"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1007\/s00028-017-0390-6"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1007\/BF01442650"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1090\/S0033-569X-2015-01376-8"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2014.03.005"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-70914-7"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmps.2007.11.006"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-005-0407-0"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-014-9409-7"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1016\/j.anihpc.2012.11.001"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-96-08114-4"},{"key":"atypb15","first-page":"63","volume-title":"Proceedings of the Brescia Mathematical Seminar","volume":"3","author":"De Giorgi E.","year":"1979"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-66165-5"},{"key":"atypb17","volume-title":"Grad. Stud. Math. 19","author":"Evans L. C.","year":"1998"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.4171\/JEMS\/437"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-64-03115-1"},{"key":"atypb20","volume-title":"Plasticity, Mathematical Theory and Numerical Analysis","author":"Han W.","year":"1999"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1938.11990804"},{"key":"atypb22","volume-title":"The Mathematical Theory of Plasticity","author":"Hill R.","year":"1950"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1994-1174494-8"},{"key":"atypb24","first-page":"520","volume":"108","author":"Ilmanen T.","year":"1994","journal-title":"Mem. Amer. Math. Soc."},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1007\/BF01448377"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-009-0216-y"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139167970"},{"key":"atypb28","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202511005611"},{"key":"atypb29","doi-asserted-by":"publisher","DOI":"10.1007\/s00030-011-0137-y"},{"key":"atypb30","doi-asserted-by":"publisher","DOI":"10.1007\/s00332-012-9148-z"},{"key":"atypb31","first-page":"1","volume":"6","author":"Liero M.","year":"2013","journal-title":"Boll. Unione Mat. Ital. (9)"},{"key":"atypb32","volume-title":"Technical report 421","author":"Lions J.-L.","year":"1963"},{"key":"atypb33","doi-asserted-by":"publisher","DOI":"10.24033\/bsmf.1620"},{"key":"atypb34","volume-title":"Plasticity Theory","author":"Lubliner J.","year":"1990"},{"key":"atypb35","volume-title":"Elastisch-plastische Materialien mit Viskosit\u00e4t, preprint 65","author":"Luckhaus S.","year":"1980"},{"key":"atypb36","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202516500469"},{"key":"atypb37","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2016.12.002"},{"key":"atypb38","doi-asserted-by":"publisher","DOI":"10.1051\/cocv:2007064"},{"key":"atypb39","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4939-2706-7"},{"key":"atypb40","doi-asserted-by":"publisher","DOI":"10.1515\/ACV.2008.017"},{"key":"atypb41","doi-asserted-by":"publisher","DOI":"10.1051\/cocv\/2009043"},{"key":"atypb42","doi-asserted-by":"publisher","DOI":"10.1016\/j.matpur.2016.03.009"},{"key":"atypb43","first-page":"1297","volume":"157","author":"Ole\u012dnik O. A.","year":"1964","journal-title":"Dokl. Akad. Nauk SSSR"},{"key":"atypb44","doi-asserted-by":"publisher","DOI":"10.1016\/j.crma.2011.11.002"},{"key":"atypb45","first-page":"765","volume":"6","author":"Segatti A.","year":"2013","journal-title":"Boll. Unione Mat. Ital. (9)"},{"key":"atypb46","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2012.175.3.11"},{"key":"atypb47","doi-asserted-by":"publisher","DOI":"10.4171\/JEMS\/637"},{"key":"atypb48","doi-asserted-by":"publisher","DOI":"10.1007\/s00028-011-0111-5"},{"key":"atypb49","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202511005350"},{"key":"atypb50","unstructured":"P. Suquet,\n                      Plasticit\u00e9 et homog\u00e9n\u00e9isation\n                      , Ph.D. thesis, Universit\u00e9 Pierre et Marie Curie, Paris, 1982."},{"key":"atypb51","volume-title":"Gauthier-Villars","author":"Temam R.","year":"1983"}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/17M1148864","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T12:40:07Z","timestamp":1787316007000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/17M1148864"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,1]]},"references-count":51,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2019,1]]}},"alternative-id":["10.1137\/17M1148864"],"URL":"https:\/\/doi.org\/10.1137\/17m1148864","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"value":"0036-1410","type":"print"},{"value":"1095-7154","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,1]]}}}