{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,11]],"date-time":"2025-11-11T13:33:52Z","timestamp":1762868032304,"version":"3.37.3"},"reference-count":39,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2020,3,25]],"date-time":"2020-03-25T00:00:00Z","timestamp":1585094400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51875220","51675197"],"award-info":[{"award-number":["51875220","51675197"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,8,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This paper develops a new topology optimization approach for minimal compliance problems based on the parameterized level set method in isogeometric analysis. Here, we choose the basis functions as level set functions. The design variables are obtained with Greville abscissae based on the corresponding collocation points. The zero-level set boundaries are derived from the level set function values of the interpolation points in all knot spans. In the optimization iteration process, the whole design domain is discretized into two types of subdomains around the zero-level set boundaries, undesign area with void materials and redesign domain with solid materials. To decrease the size of equations and the computational consumptions, only the solid material area is recalculated and the void material area is discarded according to the high accuracy of isogeometric analysis. Numerical examples demonstrate the validity of the proposed optimization method.<\/jats:p>","DOI":"10.1093\/jcde\/qwaa001","type":"journal-article","created":{"date-parts":[[2020,1,28]],"date-time":"2020-01-28T21:16:43Z","timestamp":1580246203000},"page":"514-526","source":"Crossref","is-referenced-by-count":9,"title":["A local solution approach for level-set based structural topology optimization in isogeometric analysis"],"prefix":"10.1093","volume":"7","author":[{"given":"Zijun","family":"Wu","sequence":"first","affiliation":[{"name":"Hubei Key Laboratory of Digital Textile Equipment, Wuhan Textile University, Wuhan 430070, China"}]},{"given":"Shuting","family":"Wang","sequence":"additional","affiliation":[{"name":"National CAD Support Software Engineering Research Center, Huazhong University of Science and Technology, Wuhan 430074, China"}]},{"given":"Renbin","family":"Xiao","sequence":"additional","affiliation":[{"name":"School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, China"}]},{"given":"Lianqing","family":"Yu","sequence":"additional","affiliation":[{"name":"Hubei Key Laboratory of Digital Textile Equipment, Wuhan Textile University, Wuhan 430070, China"}]}],"member":"286","published-online":{"date-parts":[[2020,3,25]]},"reference":[{"issue":"2","key":"2020081303464685600_bib1","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1006\/jcph.1995.1098","article-title":"A fast level set method for propagating interfaces","volume":"118","author":"Adalsteinsson","year":"1995","journal-title":"Journal of Computational Physics"},{"issue":"1","key":"2020081303464685600_bib2","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1016\/j.jcp.2003.09.032","article-title":"Structural optimization using sensitivity analysis and a level-set method","volume":"194","author":"Allaire","year":"2004","journal-title":"Journal of Computational 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