{"issue":"6","date_published":"2019-11-06T00:00:00Z","publication_status":"published","abstract":[{"lang":"eng","text":"We propose a novel generic shape optimization method for CAD models based on the eXtended Finite Element Method (XFEM). Our method works directly on the intersection between the model and a regular simulation grid, without the need to mesh or remesh, thus removing a bottleneck of classical shape optimization strategies. This is made possible by a novel hierarchical integration scheme that accurately integrates finite element quantities with sub-element precision. For optimization, we efficiently compute analytical shape derivatives of the entire framework, from model intersection to integration rule generation and XFEM simulation. Moreover, we describe a differentiable projection of shape parameters onto a constraint manifold spanned by user-specified shape preservation, consistency, and manufacturability constraints. We demonstrate the utility of our approach by optimizing mass distribution, strength-to-weight ratio, and inverse elastic shape design objectives directly on parameterized 3D CAD models."}],"department":[{"_id":"BeBi"}],"day":"06","file":[{"date_created":"2019-11-26T14:24:26Z","file_size":1673176,"file_id":"7119","date_updated":"2020-07-14T12:47:49Z","file_name":"xcad_sup_mat_siga19.pdf","access_level":"open_access","creator":"bbickel","content_type":"application/pdf","title":"X-CAD Supplemental Material","relation":"supplementary_material","checksum":"56a2fb019adcb556d2b022f5e5acb68c"},{"description":"This is the author's version of the work.","date_updated":"2020-07-14T12:47:49Z","file_id":"7120","date_created":"2019-11-26T14:24:27Z","file_size":14563618,"checksum":"5f29d76aceb5102e766cbab9b17d776e","relation":"main_file","content_type":"application/pdf","title":"X-CAD: Optimizing CAD Models with Extended Finite Elements","creator":"bbickel","access_level":"open_access","file_name":"XCAD_authors_version.pdf"},{"checksum":"0d31e123286cbec9e28b2001c2bb0d55","relation":"main_file","creator":"bbickel","access_level":"open_access","file_name":"XCAD_video.mp4","content_type":"video/mp4","date_updated":"2020-07-14T12:47:49Z","date_created":"2019-11-26T14:27:37Z","file_size":259979129,"file_id":"7121"}],"type":"journal_article","date_updated":"2024-03-25T23:30:26Z","month":"11","article_processing_charge":"No","related_material":{"record":[{"status":"public","id":"12897","relation":"dissertation_contains"}]},"status":"public","quality_controlled":"1","title":"X-CAD: Optimizing CAD Models with Extended Finite Elements","date_created":"2019-11-26T14:22:09Z","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa":1,"oa_version":"Submitted Version","scopus_import":"1","publisher":"ACM","ec_funded":1,"citation":{"short":"C. Hafner, C. Schumacher, E. Knoop, T. Auzinger, B. Bickel, M. Bächer, ACM Transactions on Graphics 38 (2019).","apa":"Hafner, C., Schumacher, C., Knoop, E., Auzinger, T., Bickel, B., &#38; Bächer, M. (2019). X-CAD: Optimizing CAD Models with Extended Finite Elements. <i>ACM Transactions on Graphics</i>. ACM. <a href=\"https://doi.org/10.1145/3355089.3356576\">https://doi.org/10.1145/3355089.3356576</a>","ista":"Hafner C, Schumacher C, Knoop E, Auzinger T, Bickel B, Bächer M. 2019. X-CAD: Optimizing CAD Models with Extended Finite Elements. ACM Transactions on Graphics. 38(6), 157.","chicago":"Hafner, Christian, Christian Schumacher, Espen Knoop, Thomas Auzinger, Bernd Bickel, and Moritz Bächer. “X-CAD: Optimizing CAD Models with Extended Finite Elements.” <i>ACM Transactions on Graphics</i>. ACM, 2019. <a href=\"https://doi.org/10.1145/3355089.3356576\">https://doi.org/10.1145/3355089.3356576</a>.","ama":"Hafner C, Schumacher C, Knoop E, Auzinger T, Bickel B, Bächer M. X-CAD: Optimizing CAD Models with Extended Finite Elements. <i>ACM Transactions on Graphics</i>. 2019;38(6). doi:<a href=\"https://doi.org/10.1145/3355089.3356576\">10.1145/3355089.3356576</a>","ieee":"C. Hafner, C. Schumacher, E. Knoop, T. Auzinger, B. Bickel, and M. Bächer, “X-CAD: Optimizing CAD Models with Extended Finite Elements,” <i>ACM Transactions on Graphics</i>, vol. 38, no. 6. ACM, 2019.","mla":"Hafner, Christian, et al. “X-CAD: Optimizing CAD Models with Extended Finite Elements.” <i>ACM Transactions on Graphics</i>, vol. 38, no. 6, 157, ACM, 2019, doi:<a href=\"https://doi.org/10.1145/3355089.3356576\">10.1145/3355089.3356576</a>."},"article_type":"original","language":[{"iso":"eng"}],"_id":"7117","article_number":"157","doi":"10.1145/3355089.3356576","has_accepted_license":"1","publication":"ACM Transactions on Graphics","author":[{"last_name":"Hafner","first_name":"Christian","id":"400429CC-F248-11E8-B48F-1D18A9856A87","full_name":"Hafner, Christian"},{"full_name":"Schumacher, Christian","last_name":"Schumacher","first_name":"Christian"},{"first_name":"Espen","last_name":"Knoop","full_name":"Knoop, Espen"},{"full_name":"Auzinger, Thomas","id":"4718F954-F248-11E8-B48F-1D18A9856A87","last_name":"Auzinger","first_name":"Thomas","orcid":"0000-0002-1546-3265"},{"last_name":"Bickel","first_name":"Bernd","id":"49876194-F248-11E8-B48F-1D18A9856A87","full_name":"Bickel, Bernd","orcid":"0000-0001-6511-9385"},{"full_name":"Bächer, Moritz","first_name":"Moritz","last_name":"Bächer"}],"publication_identifier":{"issn":["0730-0301"]},"external_id":{"isi":["000498397300007"]},"isi":1,"file_date_updated":"2020-07-14T12:47:49Z","ddc":["000"],"project":[{"call_identifier":"H2020","grant_number":"715767","_id":"24F9549A-B435-11E9-9278-68D0E5697425","name":"MATERIALIZABLE: Intelligent fabrication-oriented Computational Design and Modeling"}],"volume":38,"intvolume":"        38","year":"2019"}