{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,1]],"date-time":"2025-08-01T04:00:51Z","timestamp":1754020851257,"version":"3.37.3"},"reference-count":55,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2021,6,18]],"date-time":"2021-06-18T00:00:00Z","timestamp":1623974400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51775344"],"award-info":[{"award-number":["51775344"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021,6,18]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This paper presents topology optimization of nonlinear heat conduction problems with multiple domains and multiple constraints, including regional temperature and material volume for reducing temperature. Maximum approximation temperatures in the constraint regions are accurately and dynamically calculated, though temperature and temperature-dependent thermal conductivity change with the update of material distribution. A temperature measure with constant error to approximate regional maximum temperature is adaptive to different temperature ranges. A strategy of hole nucleation generation combined with the regional temperature constraints is presented for the level set-based topology optimization. The solid isotropic material with penalization (SIMP) and parametrized level set methods are compared for the temperature-constrained topology optimization. Finally, several numerical examples are solved by the SIMP and parametrized level set methods. The results demonstrate that the proposed approach can obtain intricate topological details and reduce regional temperatures for the nonlinear heat conduction problems.<\/jats:p>","DOI":"10.1093\/jcde\/qwab032","type":"journal-article","created":{"date-parts":[[2021,5,21]],"date-time":"2021-05-21T11:09:16Z","timestamp":1621595356000},"page":"1059-1081","source":"Crossref","is-referenced-by-count":8,"title":["Temperature-constrained topology optimization of nonlinear heat conduction problems"],"prefix":"10.1093","volume":"8","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3715-5615","authenticated-orcid":false,"given":"Chungang","family":"Zhuang","sequence":"first","affiliation":[{"name":"School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China"}]},{"given":"Zhenhua","family":"Xiong","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China"}]},{"given":"Han","family":"Ding","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China"}]}],"member":"286","published-online":{"date-parts":[[2021,6,18]]},"reference":[{"issue":"4","key":"2021070811151265400_bib1","doi-asserted-by":"crossref","first-page":"799","DOI":"10.1016\/0017-9310(96)00175-5","article-title":"Constructal-theory network of conducting paths for cooling a heat generating volume","volume":"40","author":"Bejan","year":"1997","journal-title":"International Journal of Heat and Mass Transfer"},{"volume-title":"Topology optimization: Theory, method and applications","year":"2003","author":"Bends\u00f8e","key":"2021070811151265400_bib2"},{"key":"2021070811151265400_bib3","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1016\/j.ijthermalsci.2016.05.015","article-title":"A genetic algorithm for topology optimization of area-to-point heat conduction problem","volume":"108","author":"Boichot","year":"2016","journal-title":"International Journal of Thermal Sciences"},{"issue":"15\u201316","key":"2021070811151265400_bib4","doi-asserted-by":"crossref","first-page":"2859","DOI":"10.1016\/j.ijheatmasstransfer.2007.01.039","article-title":"Topology optimization of convection-dominated, steady-state heat transfer problems","volume":"50","author":"Brunes","year":"2007","journal-title":"International Journal of Heat and Mass Transfer"},{"issue":"1","key":"2021070811151265400_bib5","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/S0168-874X(00)00021-4","article-title":"Topology optimization with design-dependent loads","volume":"37","author":"Chen","year":"2001","journal-title":"Finite Elements in Analysis and Design"},{"issue":"3","key":"2021070811151265400_bib6","doi-asserted-by":"crossref","first-page":"841","DOI":"10.1016\/j.applthermaleng.2016.10.134","article-title":"A review about the engineering design of optimal heat transfer systems using topology optimization","volume":"112","author":"Dbouk","year":"2017","journal-title":"Applied Thermal Engineering"},{"key":"2021070811151265400_bib7","first-page":"94","article-title":"Implicit Euler time discretization and FDM with newton method in nonlinear heat transfer modeling","volume":"3","author":"Filipov","year":"2018","journal-title":"International Scientific Journal Mathematical Modeling"},{"volume-title":"Metaheuristic applications in structures and infrastructures","year":"2013","author":"Gandomi","key":"2021070811151265400_bib8"},{"key":"2021070811151265400_bib9","first-page":"1","article-title":"A firefly algorithm-based hybrid method for structural topology optimization","volume":"7","author":"Gebremedhen","year":"2020","journal-title":"Advanced Modelling and Simulation in Engineering Sciences"},{"issue":"6","key":"2021070811151265400_bib10","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1002\/nme.4686","article-title":"An algorithm for the topology optimization of geometrically nonlinear structures","volume":"99","author":"Gomes","year":"2014","journal-title":"International Journal for Numerical Methods in Engineering"},{"issue":"1","key":"2021070811151265400_bib11","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1080\/10407790590935966","article-title":"Topological shape optimization of heat conduction problems using level set approach","volume":"48","author":"Ha","year":"2005","journal-title":"Numerical Heat Transfer, Part B: Fundamentals: An International Journal of Computation and Methodology"},{"issue":"6","key":"2021070811151265400_bib12","doi-asserted-by":"crossref","first-page":"454","DOI":"10.1080\/10407790802483408","article-title":"Level set-based topological shape optimization of nonlinear heat conduction problems","volume":"54","author":"Ha","year":"2008","journal-title":"Numerical Heat Transfer, Part B: Fundamentals. 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