{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T16:00:45Z","timestamp":1770825645424,"version":"3.50.1"},"publisher-location":"Cham","reference-count":46,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783319114170","type":"print"},{"value":"9783319114187","type":"electronic"}],"license":[{"start":{"date-parts":[[2014,12,3]],"date-time":"2014-12-03T00:00:00Z","timestamp":1417564800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2014,12,3]],"date-time":"2014-12-03T00:00:00Z","timestamp":1417564800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-319-11418-7_11","type":"book-chapter","created":{"date-parts":[[2014,12,26]],"date-time":"2014-12-26T10:44:53Z","timestamp":1419590693000},"page":"159-179","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Advanced Topology Optimization Methods for Conceptual Architectural Design"],"prefix":"10.1007","author":[{"given":"Niels","family":"Aage","sequence":"first","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Oded","family":"Amir","sequence":"additional","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Anders","family":"Clausen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Lior","family":"Hadar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Dana","family":"Maier","sequence":"additional","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Asbj\u00f8rn","family":"S\u00f8ndergaard","sequence":"additional","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,12,3]]},"reference":[{"issue":"4","key":"11_CR1","doi-asserted-by":"publisher","first-page":"493","DOI":"10.1007\/s00158-012-0869-2","volume":"47","author":"N Aage","year":"2013","unstructured":"Aage, N., Lazarov, B.S.: Parallel framework for topology optimization using the method of moving asymptotes. Struct. Multidiscip. Optim. 47(4), 493\u2013505 (2013)","journal-title":"Struct. Multidiscip. Optim."},{"issue":"1","key":"11_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00158-012-0827-z","volume":"47","author":"N Aage","year":"2013","unstructured":"Aage, N., Nobel-J\u00f8rgensen, M., Andreasen, C.S., Sigmund, O.: Interactive topology optimization on hand-held devices. Struct. Multidiscip. Optim. 47(1), 1\u20136 (2013)","journal-title":"Struct. Multidiscip. Optim."},{"key":"11_CR3","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1016\/j.compstruc.2012.10.011","volume":"114","author":"O Amir","year":"2013","unstructured":"Amir, O.: A topology optimization procedure for reinforced concrete structures. Comput. Struct. 114, 46\u201358 (2013)","journal-title":"Comput. Struct."},{"key":"11_CR4","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1007\/s00158-012-0817-1","volume":"47","author":"O Amir","year":"2013","unstructured":"Amir, O., Sigmund, O.: Reinforcement layout design for concrete structures based on continuum damage and truss topology optimization. Struct. Multidiscip. Optim. 47, 157\u2013174 (2013)","journal-title":"Struct. Multidiscip. Optim."},{"key":"11_CR5","doi-asserted-by":"publisher","first-page":"815","DOI":"10.1007\/s00158-013-1015-5","volume":"48","author":"O Amir","year":"2014","unstructured":"Amir, O., Aage, N., Lazarov, B.S.: On multigrid-CG for efficient topology optimization. Struct. Multidiscip. Optim. 48, 815\u2013829 (2014)","journal-title":"Struct. Multidiscip. Optim."},{"issue":"1","key":"11_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00158-010-0594-7","volume":"43","author":"E Andreassen","year":"2011","unstructured":"Andreassen, E., Clausen, A., Schevenels, M., Lazarov, B.S., Sigmund, O.: Efficient topology optimization in MATLAB using 88 lines of code. Struct. Multidiscip. Optim. 43(1), 1\u201316 (2011)","journal-title":"Struct. Multidiscip. Optim."},{"key":"11_CR7","first-page":"2499","volume":"2013","author":"A Beghini","year":"2013","unstructured":"Beghini, A., Beghini, L., Baker, W.: Applications of structural optimization in architectural design. Struct. Congress 2013, 2499\u20132507 (2013)","journal-title":"Struct. Congress"},{"key":"11_CR8","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1007\/BF01650949","volume":"1","author":"MP Bends\u00f8e","year":"1989","unstructured":"Bends\u00f8e, M.P.: Optimal shape design as a material distribution problem. Struct. Optim. 1, 193\u2013202 (1989)","journal-title":"Struct. Optim."},{"key":"11_CR9","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1016\/0045-7825(88)90086-2","volume":"71","author":"MP Bends\u00f8e","year":"1988","unstructured":"Bends\u00f8e, M.P., Kikuchi, N.: Generating optimal topologies in structural design using a homogenization method. Comput. Meth. Appl. Mech. Eng. 71, 197\u2013224 (1988)","journal-title":"Comput. Meth. Appl. Mech. Eng."},{"key":"11_CR10","volume-title":"Topology Optimization \u2013 Theory, Methods and Applications","author":"MP Bends\u00f8e","year":"2003","unstructured":"Bends\u00f8e, M.P., Sigmund, O.: Topology Optimization \u2013 Theory, Methods and Applications. Springer, Berlin\/New York (2003)"},{"issue":"2","key":"11_CR11","first-page":"48","volume":"83","author":"K Besserud","year":"2013","unstructured":"Besserud, K., Katz, N., Beghini, A.: Structural emergence: architectural and structural design collaboration at SOM. Archit. Des. 83(2), 48\u201355 (2013)","journal-title":"Archit. Des."},{"key":"11_CR12","doi-asserted-by":"publisher","first-page":"1578","DOI":"10.1002\/nme.4253","volume":"90","author":"M Bogomolny","year":"2012","unstructured":"Bogomolny, M., Amir, O.: Conceptual design of reinforced concrete structures using topology optimization with elasto-plastic material modeling. Int. J. Numer. Meth. Eng. 90, 1578\u20131597 (2012)","journal-title":"Int. J. Numer. Meth. Eng."},{"issue":"9","key":"11_CR13","doi-asserted-by":"publisher","first-page":"1996","DOI":"10.1364\/OPEX.12.001996","volume":"12","author":"PI Borel","year":"2004","unstructured":"Borel, P.I., Harp\u00f8th, A., Frandsen, L., Kristensen, M., Shi, P., Jensen, J., Sigmund, O.: Topology optimization and fabrication of photonic crystal structures. Opt. Express 12(9), 1996\u20132001 (2004)","journal-title":"Opt. Express"},{"key":"11_CR14","doi-asserted-by":"publisher","first-page":"224","DOI":"10.1016\/j.autcon.2006.05.002","volume":"16","author":"RA Buswell","year":"2007","unstructured":"Buswell, R.A., Soar, R.C., Gibb, A.G.F., Thorpe, A.: Freeform construction: mega-scalerapid manufacturing for construction. Autom. Constr. 16, 224\u2013231 (2007)","journal-title":"Autom. Constr."},{"issue":"6","key":"11_CR15","doi-asserted-by":"publisher","first-page":"827","DOI":"10.1007\/s00158-010-0614-7","volume":"43","author":"K Cai","year":"2011","unstructured":"Cai, K.: A simple approach to find optimal topology of a continuum with tension-only or compression-only material. Struct. Multidiscip. Optim. 43(6), 827\u2013835 (2011)","journal-title":"Struct. Multidiscip. Optim."},{"key":"11_CR16","doi-asserted-by":"crossref","unstructured":"Clausen, A., Aage, N., Sigmund, O.: Topology optimization with flexible void area. Struct. Multidiscip. Optim. (2014, in press)","DOI":"10.1007\/s00158-014-1109-8"},{"key":"11_CR17","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718881","volume-title":"Direct Methods for Sparse Linear Systems","author":"TA Davis","year":"2006","unstructured":"Davis, T.A.: Direct Methods for Sparse Linear Systems. SIAM, Philadelphia (2006)"},{"key":"11_CR18","volume-title":"Fabricate: Making Digital Architecture","author":"P Dombernowsky","year":"2011","unstructured":"Dombernowsky, P., S\u00f8ndergaard, A.: Unikabeton prototype. In: Fabricate: Making Digital Architecture. Riverside Architectural Press, Toronto (2011)"},{"key":"11_CR19","first-page":"209","volume":"53","author":"P Dombernowsky","year":"2012","unstructured":"Dombernowsky, P., S\u00f8ndergaard, A.: Design, analysis and realization of topology optimized concrete structures. Int. Assoc. Shell Spat. Struct. 53, 209\u2013216 (2012)","journal-title":"Int. Assoc. Shell Spat. Struct."},{"issue":"1","key":"11_CR20","first-page":"25","volume":"3","author":"WS Dorn","year":"1964","unstructured":"Dorn, W.S., Gomory, R.E., Greenberg, H.J.: Automatic design of optimal structures. J. Mecanique 3(1), 25\u201352 (1964)","journal-title":"J. Mecanique"},{"key":"11_CR21","unstructured":"Frattari, L.: The structural from: topology optimization in architecture and industrial design. Doctoral dissertation, School of Advanced Studies, University of Camerino (2011)"},{"key":"11_CR22","volume-title":"Optimum structures","author":"WS Hemp","year":"1973","unstructured":"Hemp, W.S.: Optimum structures. Clarendon, Oxford (1973)"},{"key":"11_CR23","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1002\/9780470689486","volume-title":"Evolutionary Topology Optimization of Continuum Structures: Methods and Applications","author":"X Huang","year":"2010","unstructured":"Huang, X., Xie, Y.M.: Evolutionary Topology Optimization of Continuum Structures: Methods and Applications. Wiley, Chichester (2010). 235 pp. ISBN 9780470746530","ISBN":"https:\/\/id.crossref.org\/isbn\/9780470746530"},{"key":"11_CR24","doi-asserted-by":"crossref","unstructured":"Jonsmann, J., Sigmund, O., Bouwstra, S.: Compliant electro-thermal microactuators. In: Micro Electro Mechanical Systems, pp. 588\u2013593. IEEE (1999)","DOI":"10.1109\/MEMSYS.1999.746894"},{"key":"11_CR25","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1016\/j.finel.2010.01.001","volume":"46","author":"J Kato","year":"2010","unstructured":"Kato, J., Ramm, E.: Optimization of fiber geometry for fiber reinforced composites considering damage. Finite Elem. Anal. Des. 46, 401\u2013415 (2010)","journal-title":"Finite Elem. Anal. Des."},{"key":"11_CR26","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1007\/s00158-008-0315-7","volume":"39","author":"J Kato","year":"2009","unstructured":"Kato, J., Lipka, A., Ramm, E.: Multiphase material optimization for fiber reinforced composites with strain softening. Struct. Multidiscip. Optim. 39, 63\u201381 (2009)","journal-title":"Struct. Multidiscip. Optim."},{"key":"11_CR27","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-84845-2","volume-title":"Structural Optimization","author":"U Kirsch","year":"1993","unstructured":"Kirsch, U.: Structural Optimization. Springer, Berlin\/New York (1993)"},{"key":"11_CR28","unstructured":"Le, T., Austin, S.: High-performance printing concrete for freeform building components. In: Proceedings of the FIB Symposium, PRAGUE 2011 (2011)"},{"issue":"3","key":"11_CR29","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1007\/s00158-010-0567-x","volume":"43","author":"S Liu","year":"2011","unstructured":"Liu, S., Qiao, H.: Topology optimization of continuum structures with different tensile and compressive properties in bridge layout design. Struct. Multidiscip. Optim. 43(3), 369\u2013380 (2011)","journal-title":"Struct. Multidiscip. Optim."},{"issue":"1","key":"11_CR30","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1007\/s00158-006-0043-9","volume":"33","author":"P Martinez","year":"2007","unstructured":"Martinez, P., Marti, P., Querin, O.M.: Growth method for size, topology, and geometry optimization of truss structures. Struct. Multidiscip. Optim. 33(1), 13\u201326 (2007)","journal-title":"Struct. Multidiscip. Optim."},{"issue":"47","key":"11_CR31","doi-asserted-by":"publisher","first-page":"589","DOI":"10.1080\/14786440409463229","volume":"8","author":"AGM Michell","year":"1904","unstructured":"Michell, A.G.M.: The limits of economy of material in frame-structures. Lond. Edinb. Dublin Philos. Mag. J. Sci. 8(47), 589\u2013597 (1904)","journal-title":"Lond. Edinb. Dublin Philos. Mag. J. Sci."},{"key":"11_CR32","doi-asserted-by":"crossref","unstructured":"Mostafavi, S., Beltran, M. M., Biloria, N.: Performance Driven Design and Design Information Exchange (2013)","DOI":"10.52842\/conf.ecaade.2013.2.117"},{"key":"11_CR33","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1260\/1478-0771.10.1.13","volume":"10","author":"P Park","year":"2012","unstructured":"Park, P., Gilbert, M., Tyas, A., Popovic-Larsen, O.: Potential use of structural layout optimization at the conceptual design stage. Int. J. Archit. Comput. 10, 13\u201332 (2012)","journal-title":"Int. J. Archit. Comput."},{"issue":"2","key":"11_CR34","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1007\/BF01637666","volume":"1","author":"P Pedersen","year":"1989","unstructured":"Pedersen, P.: On optimal orientation of orthotropic materials. Struct. Optim. 1(2), 101\u2013106 (1989)","journal-title":"Struct. Optim."},{"key":"11_CR35","volume-title":"Optimal Design of Flexural Systems: Beams, Grillages, Slabs, Plates, and Shells","author":"GI Rozvany","year":"1976","unstructured":"Rozvany, G.I.: Optimal Design of Flexural Systems: Beams, Grillages, Slabs, Plates, and Shells. Pergamon Press, Oxford\/New York (1976)"},{"issue":"49","key":"11_CR36","doi-asserted-by":"publisher","first-page":"495","DOI":"10.1088\/0957-4484\/19\/49\/495503","volume":"19","author":"O Sardan","year":"2008","unstructured":"Sardan, O., Eichhorn, V., Petersen, D.H., Fatikow, S., Sigmund, O., B\u00f8ggild, P.: Rapid prototyping of nanotube-based devices using topology-optimized microgrippers. Nanotechnology 19(49), 495\u2013503 (2008)","journal-title":"Nanotechnology"},{"key":"11_CR37","volume-title":"Morphogenesis of Flux Structure","author":"M Sasaki","year":"2007","unstructured":"Sasaki, M., It\u014d, T., Isozaki, A.: Morphogenesis of Flux Structure. AA Publications, London (2007)"},{"issue":"2","key":"11_CR38","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1007\/s001580050176","volume":"21","author":"O Sigmund","year":"2001","unstructured":"Sigmund, O.: A 99 line topology optimization code written in Matlab. Struct. Multidiscip. Optim. 21(2), 120\u2013127 (2001)","journal-title":"Struct. Multidiscip. Optim."},{"key":"11_CR39","volume-title":"Bridging From Technology to Society","author":"O Sigmund","year":"2004","unstructured":"Sigmund, O., Bends\u00f8e, M.P.: Topology optimization: from airplanes to nano-optics. In: Stubkj\u00e6r, K., Kortenbach, T. (eds.) Bridging From Technology to Society. Technical University of Denmark, Lyngby (2004)"},{"issue":"1806","key":"11_CR40","doi-asserted-by":"publisher","first-page":"1001","DOI":"10.1098\/rsta.2003.1177","volume":"361","author":"O Sigmund","year":"2003","unstructured":"Sigmund, O., Jensen, J.S.: Systematic design of phononic band\u2013gap materials and structures by topology optimization. Philos. Trans. R. Soc. Lond. A Math. Phys. Eng. Sci. 361(1806), 1001\u20131019 (2003)","journal-title":"Philos. Trans. R. Soc. Lond. A Math. Phys. Eng. Sci."},{"issue":"6","key":"11_CR41","doi-asserted-by":"publisher","first-page":"1037","DOI":"10.1016\/S0022-5096(96)00114-7","volume":"45","author":"O Sigmund","year":"1997","unstructured":"Sigmund, O., Torquato, S.: Design of materials with extreme thermal expansion using a three-phase topology optimization method. J. Mech. Phys. Solids 45(6), 1037\u20131067 (1997)","journal-title":"J. Mech. Phys. Solids"},{"key":"11_CR42","unstructured":"S\u00f8ndergaard, A., Feringa, J.: An integral approach to structural optimization and fabrication. In: Acadia, 491\u2013497 (2014)"},{"key":"11_CR43","doi-asserted-by":"crossref","unstructured":"S\u00f8ndergaard, A., Amir, O., Knauss, M.: Topology optimization and digital assembly of advanced space-frame structures. In: 2013 ACADIA Conference (2013)","DOI":"10.52842\/conf.acadia.2013.367"},{"key":"11_CR44","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1016\/j.engstruct.2011.12.034","volume":"37","author":"LL Stromberg","year":"2012","unstructured":"Stromberg, L.L., Beghini, A., Baker, W.F., Paulino, G.H.: Topology optimization for braced frames: combining continuum and beam\/column elements. Eng. Struct. 37, 106\u2013124 (2012)","journal-title":"Eng. Struct."},{"key":"11_CR45","unstructured":"The Mathworks.: MATLAB version 8.1.0.604 (R2013a) (2013)"},{"key":"11_CR46","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1007\/s00158-011-0633-z","volume":"44","author":"M Victoria","year":"2011","unstructured":"Victoria, M., Querin, O.M., Mart\u00ed, P.: Generation of strut-and-tie models by topology optimization using different material properties in tension and compression. Struct. Multidiscip. Optim. 44, 247\u2013258 (2011)","journal-title":"Struct. Multidiscip. Optim."}],"container-title":["Advances in Architectural Geometry 2014"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-11418-7_11","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,15]],"date-time":"2023-02-15T03:05:42Z","timestamp":1676430342000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-11418-7_11"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,12,3]]},"ISBN":["9783319114170","9783319114187"],"references-count":46,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-11418-7_11","relation":{},"subject":[],"published":{"date-parts":[[2014,12,3]]},"assertion":[{"value":"3 December 2014","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}