{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:14Z","timestamp":1740134534808,"version":"3.37.3"},"reference-count":25,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,6,11]],"date-time":"2020-06-11T00:00:00Z","timestamp":1591833600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["390740016","406068690","257987586"],"award-info":[{"award-number":["390740016","406068690","257987586"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["390740016","406068690","257987586"],"award-info":[{"award-number":["390740016","406068690","257987586"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["390740016","406068690","257987586"],"award-info":[{"award-number":["390740016","406068690","257987586"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2020,6,11]]},"abstract":"<jats:p>The L\u00f6wner partial order is taken into consideration in order to define L\u00f6wner majorants for a given finite set of symmetric matrices. A special class of L\u00f6wner majorants is analyzed based on two specific matrix parametrizations: a two-parametric form and a four-parametric form, which arise in the context of so-called zeroth-order bounds of the effective linear behavior in the field of solid mechanics in engineering. The condensed explicit conditions defining the convex parameter sets of L\u00f6wner majorants are derived. Examples are provided, and potential application to semidefinite programming problems is discussed. Open-source MATLAB software is provided to support the theoretical findings and for reproduction of the presented results. The results of the present work offer in combination with the theory of zeroth-order bounds of mechanics a highly efficient approach for the automated material selection for future engineering applications.<\/jats:p>","DOI":"10.1155\/2020\/9091387","type":"journal-article","created":{"date-parts":[[2020,6,11]],"date-time":"2020-06-11T23:31:50Z","timestamp":1591918310000},"page":"1-18","source":"Crossref","is-referenced-by-count":0,"title":["Construction of a Class of Sharp L\u00f6wner Majorants for a Set of Symmetric Matrices"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1840-1243","authenticated-orcid":true,"given":"Mauricio","family":"Fern\u00e1ndez","sequence":"first","affiliation":[{"name":"Institute of Applied Mechanics, University of Stuttgart, Pfaffenwaldring 7, 70569 Stuttgart, Germany"},{"name":"Cyber-Physical Simulation Group, Department of Mechanical Engineering, Technical University of Darmstadt, Dolivostra\u03b2e 15, 64293 Darmstadt, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4926-0068","authenticated-orcid":true,"given":"Felix","family":"Fritzen","sequence":"additional","affiliation":[{"name":"Institute of Applied Mechanics, University of Stuttgart, Pfaffenwaldring 7, 70569 Stuttgart, Germany"}]}],"member":"311","reference":[{"issue":"1","key":"1","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1007\/BF01170633","volume":"38","year":"1934","journal-title":"Mathematische Zeitschrift"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(89)90069-4"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.4064\/am-22-2-145-154"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/s0024-3795(00)00282-2"},{"volume":"1790","year":"2002","key":"5"},{"year":"2013","key":"6"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1137\/1038003"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/s0377-2217(01)00143-6"},{"year":"2012","key":"10"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1590\/0101-7438.2014.034.03.0495"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.15807\/jorsj.58.24"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1561\/240000001"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-016-1048-9"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/0022-5096(77)90009-6"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/s0020-7683(00)00393-0"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijsolstr.2015.12.015"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1007\/s10659-016-9615-0"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/s0065-2156(08)70330-2"},{"volume":"6","year":"2002","key":"21"},{"year":"2018","key":"22"},{"year":"1997","key":"23"},{"issue":"4","key":"24","first-page":"643","volume":"111","year":"2016","journal-title":"International Journal of Pure and Applied Mathematics"},{"year":"1994","key":"25"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1137\/0124033"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1093\/qjmam\/42.2.249"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2020\/9091387.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2020\/9091387.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2020\/9091387.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,6,11]],"date-time":"2020-06-11T23:31:58Z","timestamp":1591918318000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/jam\/2020\/9091387\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6,11]]},"references-count":25,"alternative-id":["9091387","9091387"],"URL":"https:\/\/doi.org\/10.1155\/2020\/9091387","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2020,6,11]]}}}