{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,24]],"date-time":"2025-09-24T10:29:12Z","timestamp":1758709752107,"version":"3.37.3"},"reference-count":23,"publisher":"Oxford University Press (OUP)","issue":"5","license":[{"start":{"date-parts":[[2020,6,1]],"date-time":"2020-06-01T00:00:00Z","timestamp":1590969600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"funder":[{"name":"German Ministry for Economic Affairs and Energy","award":["20W1708E"],"award-info":[{"award-number":["20W1708E"]}]},{"DOI":"10.13039\/501100001659","name":"German Research Foundation","doi-asserted-by":"crossref","award":["KR 4914\/3-1"],"award-info":[{"award-number":["KR 4914\/3-1"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,10,13]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This paper presents a two-stage procedure for density-based optimization towards a fail-safe design. Existing approaches either are computationally extremely expensive or do not explicitly consider fail-safe requirements in the optimization. The current approach trades off both aspects by employing two sequential optimizations to deliver redundant designs that offer robustness to partial failure. In the first stage, a common topology optimization or a topology optimization with local volume constraints is performed. The second stage is referred to as \u201cdensity-based shape optimization\u201d since it only alters the outline of the structure while still acting on a fixed voxel-type finite element mesh with pseudo-densities assigned to each element. The performance gain and computational efficiency of the current approach are demonstrated by application to various 2D and 3D examples. The results show that, in contrast to explicitly enforcing fail-safety in topology optimization, the current approach can be carried out with reasonable computational cost. Compared to the local volume constraint approach, the suggested procedure further increases the fail-safe performance by 47% for the example considered.<\/jats:p>","DOI":"10.1093\/jcde\/qwaa044","type":"journal-article","created":{"date-parts":[[2020,3,25]],"date-time":"2020-03-25T12:09:06Z","timestamp":1585138146000},"page":"615-629","source":"Crossref","is-referenced-by-count":12,"title":["Density-based shape optimization for fail-safe design"],"prefix":"10.1093","volume":"7","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3250-7095","authenticated-orcid":false,"given":"Olaf","family":"Ambrozkiewicz","sequence":"first","affiliation":[{"name":"Hamburg University of Technology, Am Schwarzenberg-Campus 4, Working group structural optimization for lightweight design, 21073 Hamburg, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5330-9886","authenticated-orcid":false,"given":"Benedikt","family":"Kriegesmann","sequence":"additional","affiliation":[{"name":"Hamburg University of 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