{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,12]],"date-time":"2026-10-12T11:47:43Z","timestamp":1791805663476,"version":"4.3.4"},"reference-count":41,"publisher":"Royal Society of Chemistry (RSC)","license":[{"start":{"date-parts":[[2026,9,24]],"date-time":"2026-09-24T00:00:00Z","timestamp":1790208000000},"content-version":"vor","delay-in-days":266,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc\/3.0\/"}],"funder":[{"DOI":"10.13039\/100008398","name":"Villum Fonden","doi-asserted-by":"publisher","award":["VIL83352"],"award-info":[{"award-number":["VIL83352"]}],"id":[{"id":"10.13039\/100008398","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100008398","name":"Villum Fonden","doi-asserted-by":"publisher","award":["Villum Investigator Project AMSTRAD"],"award-info":[{"award-number":["Villum Investigator Project AMSTRAD"]}],"id":[{"id":"10.13039\/100008398","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"publisher","award":["FA9550-23-1-0297"],"award-info":[{"award-number":["FA9550-23-1-0297"]}],"id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CMMI-2344258"],"award-info":[{"award-number":["CMMI-2344258"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CMMI-2505649"],"award-info":[{"award-number":["CMMI-2505649"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["rsc.org"],"crossmark-restriction":true},"short-container-title":["Mater. Horiz."],"abstract":"<jats:p>A single seven-parameter microstructure spans nearly the full extremal isotropic elastic property space. Interpolating a few optimized designs (validated experimentally) rapidly generates hundreds of near-extremal structures for graded properties.<\/jats:p>","DOI":"10.1039\/d6mh00953k","type":"journal-article","created":{"date-parts":[[2026,9,24]],"date-time":"2026-09-24T08:22:37Z","timestamp":1790238157000},"update-policy":"https:\/\/doi.org\/10.1039\/rsc_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A parameterized microstructure spanning the bounds of extremal elastic property space"],"prefix":"10.1039","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2101-4204","authenticated-orcid":false,"given":"Rahul Dev","family":"Kundu","sequence":"first","affiliation":[{"name":"Department of Civil and Environmental Engineering, University of Illinois Urbana-Champaign, Urbana, IL 61801, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhi","family":"Zhao","sequence":"additional","affiliation":[{"name":"Department of Civil and Environmental Engineering, University of Illinois Urbana-Champaign, Urbana, IL 61801, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peiyu","family":"Zeng","sequence":"additional","affiliation":[{"name":"Department of Civil and Environmental Engineering, University of Illinois Urbana-Champaign, Urbana, IL 61801, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ole","family":"Sigmund","sequence":"additional","affiliation":[{"name":"Department of Civil and Mechanical Engineering, Technical University of Denmark, Koppels All\u00e9, Building 404, 2800 Kongens Lyngby, Denmark"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4878-8637","authenticated-orcid":false,"given":"Xiaojia Shelly","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Civil and Environmental Engineering, University of Illinois Urbana-Champaign, Urbana, IL 61801, USA"},{"name":"Department of Mechanical Science and Engineering, University of Illinois Urbana-Champaign, Urbana, IL 61801, USA"},{"name":"National Center for Supercomputing Applications, Urbana, IL 61801, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"292","published-online":{"date-parts":[[2026]]},"reference":[{"key":"D6MH00953K\/cit1\/1","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/0022-5096(63)90060-7","volume":"11","author":"Hashin","year":"1963","journal-title":"J. Mech. Phys. Solids"},{"key":"D6MH00953K\/cit2\/1","doi-asserted-by":"crossref","first-page":"937","DOI":"10.1016\/0022-5096(93)90006-2","volume":"41","author":"Cherkaev","year":"1993","journal-title":"J. Mech. Phys. Solids"},{"key":"D6MH00953K\/cit3\/1","doi-asserted-by":"crossref","first-page":"2500870","DOI":"10.1002\/adem.202500870","volume":"27","author":"Jaber","year":"2025","journal-title":"Adv. Eng. Mater."},{"key":"D6MH00953K\/cit4\/1","doi-asserted-by":"crossref","first-page":"1597","DOI":"10.1007\/s00158-020-02649-6","volume":"62","author":"Wein","year":"2020","journal-title":"Struct. Multidiscip. Optim."},{"key":"D6MH00953K\/cit5\/1","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1115\/1.3636446","volume":"29","author":"Hashin","year":"1962","journal-title":"J. Appl. Mech."},{"key":"D6MH00953K\/cit6\/1","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1007\/BF01195935","volume":"17","author":"Vigdergauz","year":"1999","journal-title":"Struct. Optim."},{"key":"D6MH00953K\/cit7\/1","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1007\/s00158-006-0087-x","volume":"33","author":"Sigmund","year":"2007","journal-title":"Struct. Multidiscip. Optim."},{"key":"D6MH00953K\/cit8\/1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0167-6636(85)90002-X","volume":"4","author":"Norris","year":"1985","journal-title":"Mech. Mater."},{"key":"D6MH00953K\/cit9\/1","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1007\/BF00280908","volume":"94","author":"Francfort","year":"1986","journal-title":"Arch. Ration. Mech. Anal."},{"key":"D6MH00953K\/cit10\/1","first-page":"150","volume-title":"Modelling the Properties of Composites by Laminates","author":"Milton","year":"1986","unstructured":"G. W.Milton ,  Modelling the Properties of Composites by Laminates ,  Springer ,  New York ,  1986 ,  pp. 150\u2013174"},{"key":"D6MH00953K\/cit11\/1","doi-asserted-by":"crossref","first-page":"1105","DOI":"10.1016\/0022-5096(92)90063-8","volume":"40","author":"Milton","year":"1992","journal-title":"J. Mech. Phys. Solids"},{"key":"D6MH00953K\/cit12\/1","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1016\/S0022-5096(99)00034-4","volume":"48","author":"Sigmund","year":"2000","journal-title":"J. Mech. Phys. Solids"},{"key":"D6MH00953K\/cit13\/1","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1016\/S0020-7403(96)00025-2","volume":"39","author":"Prall","year":"1997","journal-title":"Int. J. Mech. Sci."},{"key":"D6MH00953K\/cit14\/1","doi-asserted-by":"crossref","first-page":"2313","DOI":"10.1016\/0020-7683(94)90154-6","volume":"31","author":"Sigmund","year":"1994","journal-title":"Int. J. Solids Struct."},{"key":"D6MH00953K\/cit15\/1","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1016\/0167-6636(94)00069-7","volume":"20","author":"Sigmund","year":"1995","journal-title":"Mech. Mater."},{"key":"D6MH00953K\/cit16\/1","doi-asserted-by":"crossref","first-page":"1563","DOI":"10.1023\/A:1006781224002","volume":"19","author":"Grima","year":"2000","journal-title":"J. Mater. Sci. Lett."},{"key":"D6MH00953K\/cit17\/1","doi-asserted-by":"crossref","first-page":"5523","DOI":"10.1002\/adma.201502485","volume":"27","author":"Clausen","year":"2015","journal-title":"Adv. Mater."},{"key":"D6MH00953K\/cit18\/1","doi-asserted-by":"crossref","first-page":"2459","DOI":"10.1007\/s00158-020-02823-w","volume":"63","author":"Rossi","year":"2021","journal-title":"Struct. Multidiscip. Optim."},{"key":"D6MH00953K\/cit19\/1","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1016\/j.jmps.2018.05.018","volume":"118","author":"Ostanin","year":"2018","journal-title":"J. Mech. Phys. Solids"},{"key":"D6MH00953K\/cit20\/1","doi-asserted-by":"crossref","first-page":"109277","DOI":"10.1016\/j.matdes.2020.109277","volume":"197","author":"Jin","year":"2021","journal-title":"Mater. Des."},{"key":"D6MH00953K\/cit21\/1","doi-asserted-by":"crossref","first-page":"2587","DOI":"10.1016\/j.actbio.2012.03.035","volume":"8","author":"Soman","year":"2012","journal-title":"Acta Biomater."},{"key":"D6MH00953K\/cit22\/1","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1115\/1.2804743","volume":"117","author":"Milton","year":"1995","journal-title":"J. Eng. Mater. Technol."},{"key":"D6MH00953K\/cit23\/1","doi-asserted-by":"crossref","first-page":"014027","DOI":"10.1103\/PhysRevApplied.12.014027","volume":"12","author":"Zheng","year":"2019","journal-title":"Phys. Rev. Appl."},{"key":"D6MH00953K\/cit24\/1","doi-asserted-by":"crossref","first-page":"014024","DOI":"10.1103\/PhysRevApplied.19.014024","volume":"19","author":"Lee","year":"2023","journal-title":"Phys. Rev. Appl."},{"key":"D6MH00953K\/cit25\/1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1145\/2766926","volume":"34","author":"Schumacher","year":"2015","journal-title":"ACM Trans. Graph."},{"key":"D6MH00953K\/cit26\/1","doi-asserted-by":"crossref","first-page":"2143","DOI":"10.1002\/nme.116","volume":"50","author":"Bourdin","year":"2001","journal-title":"Int. J. Numer. Methods Eng."},{"key":"D6MH00953K\/cit27\/1","doi-asserted-by":"crossref","first-page":"767","DOI":"10.1007\/s00158-010-0602-y","volume":"43","author":"Wang","year":"2010","journal-title":"Struct. Multidiscip. Optim."},{"key":"D6MH00953K\/cit28\/1","doi-asserted-by":"crossref","first-page":"081009","DOI":"10.1115\/1.4027609","volume":"81","author":"Guo","year":"2014","journal-title":"J. Appl. Mech."},{"key":"D6MH00953K\/cit29\/1","doi-asserted-by":"crossref","first-page":"1243","DOI":"10.1007\/s00158-015-1372-3","volume":"53","author":"Zhang","year":"2015","journal-title":"Struct. Multidiscip. Optim."},{"key":"D6MH00953K\/cit30\/1","doi-asserted-by":"crossref","first-page":"306","DOI":"10.1016\/j.cma.2015.05.005","volume":"293","author":"Norato","year":"2015","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"D6MH00953K\/cit31\/1","doi-asserted-by":"crossref","first-page":"1597","DOI":"10.1007\/s00158-020-02649-6","volume":"62","author":"Wein","year":"2020","journal-title":"Struct. Multidiscip. Optim."},{"key":"D6MH00953K\/cit32\/1","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/0045-7825(90)90148-F","volume":"83","author":"Guedes","year":"1990","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"D6MH00953K\/cit33\/1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-6355-3","volume-title":"Random Heterogeneous Materials","author":"Torquato","year":"2002","unstructured":"S.Torquato ,  Random Heterogeneous Materials ,  Springer New York ,  2002"},{"key":"D6MH00953K\/cit34\/1","doi-asserted-by":"crossref","first-page":"488","DOI":"10.1016\/j.commatsci.2013.09.006","volume":"83","author":"Andreassen","year":"2014","journal-title":"Comput. Mater. Sci."},{"key":"D6MH00953K\/cit35\/1","doi-asserted-by":"crossref","first-page":"3911","DOI":"10.1007\/s00158-021-03068-x","volume":"64","author":"Wang","year":"2021","journal-title":"Struct. Multidiscip. Optim."},{"key":"D6MH00953K\/cit36\/1","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1016\/0022-5096(63)90036-X","volume":"11","author":"Hill","year":"1963","journal-title":"J. Mech. Phys. Solids"},{"key":"D6MH00953K\/cit37\/1","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1088\/0964-1726\/8\/3\/308","volume":"8","author":"Sigmund","year":"1999","journal-title":"Smart Mater. Struct."},{"key":"D6MH00953K\/cit38\/1","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1016\/0045-7825(91)90046-9","volume":"89","author":"Zhou","year":"1991","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"D6MH00953K\/cit39\/1","doi-asserted-by":"crossref","first-page":"635","DOI":"10.1007\/s004190050248","volume":"69","author":"Bends\u00f8e","year":"1999","journal-title":"Arch. Appl. Mech."},{"key":"D6MH00953K\/cit40\/1","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1002\/nme.1620240207","volume":"24","author":"Svanberg","year":"1987","journal-title":"Int. J. Numer. Methods Eng."},{"key":"D6MH00953K\/cit41\/1","doi-asserted-by":"crossref","first-page":"036603","DOI":"10.1103\/3n97-7kmd","volume":"135","author":"Jang","year":"2025","journal-title":"Phys. Rev. Lett."}],"container-title":["Materials Horizons"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/pubs.rsc.org\/MH\/article-pdf\/doi\/10.1039\/D6MH00953K\/0\/D6MH00953K.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/pubs.rsc.org\/MH\/article-pdf\/doi\/10.1039\/D6MH00953K\/0\/D6MH00953K.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,10,12]],"date-time":"2026-10-12T11:18:01Z","timestamp":1791803881000},"score":1,"resource":{"primary":{"URL":"http:\/\/pubs.rsc.org\/MH\/article-lookup\/doi\/10.1039\/D6MH00953K"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026]]},"references-count":41,"URL":"https:\/\/doi.org\/10.1039\/d6mh00953k","relation":{},"ISSN":["2051-6347","2051-6355"],"issn-type":[{"value":"2051-6347","type":"print"},{"value":"2051-6355","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026]]}}}