{"id":"https://openalex.org/W7167208764","doi":"https://doi.org/10.1145/3811301","title":"A Unified Homogenization Framework for Straight- and Curved-Crease Origami Materials","display_name":"A Unified Homogenization Framework for Straight- and Curved-Crease Origami Materials","publication_year":2026,"publication_date":"2026-07-03","ids":{"openalex":"https://openalex.org/W7167208764","doi":"https://doi.org/10.1145/3811301"},"language":"en","primary_location":{"id":"doi:10.1145/3811301","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3811301","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1145/3811301","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069758919","display_name":"Mingjie Li","orcid":"https://orcid.org/0000-0001-6096-9858"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Mingjie Li","raw_affiliation_strings":["ETH Z\u00fcrich, Zurich, Switzerland"],"raw_orcid":"https://orcid.org/0009-0003-0087-471X","affiliations":[{"raw_affiliation_string":"ETH Z\u00fcrich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039216501","display_name":"Juan Sebastian Montes Maestre","orcid":"https://orcid.org/0009-0001-9758-8861"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Juan Montes Maestre","raw_affiliation_strings":["ETH Z\u00fcrich, Zurich, Switzerland"],"raw_orcid":"https://orcid.org/0009-0001-9758-8861","affiliations":[{"raw_affiliation_string":"ETH Z\u00fcrich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5139970571","display_name":"Emilien Ganier","orcid":"https://orcid.org/0009-0009-5886-5385"},"institutions":[{"id":"https://openalex.org/I4210124760","display_name":"Universitas Dian Nusantara","ror":"https://ror.org/02zrz7n38","country_code":"ID","type":"education","lineage":["https://openalex.org/I4210124760"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH","FR","ID"],"is_corresponding":false,"raw_author_name":"Emilien Ganier","raw_affiliation_strings":["Centre National de la Recherche Scientifique - Laboratoire d'informatique de l'\u00c9cole Polytechnique (LIX), Paris, France","EPFL, Lausann, Switzerland"],"raw_orcid":"https://orcid.org/0009-0009-5886-5385","affiliations":[{"raw_affiliation_string":"Centre National de la Recherche Scientifique - Laboratoire d'informatique de l'\u00c9cole Polytechnique (LIX), Paris, France","institution_ids":["https://openalex.org/I4210139461"]},{"raw_affiliation_string":"EPFL, Lausann, Switzerland","institution_ids":["https://openalex.org/I4210124760","https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020865235","display_name":"Klara Mundilova","orcid":"https://orcid.org/0000-0001-8245-9568"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Klara Mundilova","raw_affiliation_strings":["EPFL, Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0001-8245-9568","affiliations":[{"raw_affiliation_string":"EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072048687","display_name":"Mark V. Pauly","orcid":"https://orcid.org/0000-0003-4957-4825"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Mark Pauly","raw_affiliation_strings":["EPFL, Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0003-4957-4825","affiliations":[{"raw_affiliation_string":"EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069328126","display_name":"Bernhard Thomaszewski","orcid":"https://orcid.org/0000-0001-8086-7664"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Bernhard Thomaszewski","raw_affiliation_strings":["ETH Z\u00fcrich, Zurich, Switzerland"],"raw_orcid":"https://orcid.org/0000-0001-8086-7664","affiliations":[{"raw_affiliation_string":"ETH Z\u00fcrich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.75379053,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"4","first_page":"1","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11737","display_name":"Advanced Materials and Mechanics","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11737","display_name":"Advanced Materials and Mechanics","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11870","display_name":"Structural Analysis and Optimization","score":0.0020000000949949026,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.0019000000320374966,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.8054999709129333},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.5769000053405762},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5209000110626221},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5174000263214111},{"id":"https://openalex.org/keywords/stiffness","display_name":"Stiffness","score":0.48350000381469727},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.45509999990463257},{"id":"https://openalex.org/keywords/kinematics","display_name":"Kinematics","score":0.44679999351501465},{"id":"https://openalex.org/keywords/traction","display_name":"Traction (geology)","score":0.3628999888896942},{"id":"https://openalex.org/keywords/material-properties","display_name":"Material properties","score":0.3617999851703644}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.8054999709129333},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.5769000053405762},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5209000110626221},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5174000263214111},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.48350000381469727},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.45509999990463257},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.44679999351501465},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42329999804496765},{"id":"https://openalex.org/C38834483","wikidata":"https://www.wikidata.org/wiki/Q17000223","display_name":"Traction (geology)","level":2,"score":0.3628999888896942},{"id":"https://openalex.org/C31555180","wikidata":"https://www.wikidata.org/wiki/Q3523867","display_name":"Material properties","level":2,"score":0.3617999851703644},{"id":"https://openalex.org/C128172907","wikidata":"https://www.wikidata.org/wiki/Q4887116","display_name":"Bending stiffness","level":3,"score":0.3560999929904938},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.35589998960494995},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3425000011920929},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.3303999900817871},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.319599986076355},{"id":"https://openalex.org/C37167619","wikidata":"https://www.wikidata.org/wiki/Q3312239","display_name":"Micromechanics","level":3,"score":0.3091000020503998},{"id":"https://openalex.org/C87210426","wikidata":"https://www.wikidata.org/wiki/Q1072476","display_name":"Bending","level":2,"score":0.3082999885082245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29010000824928284},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.28949999809265137},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2815999984741211},{"id":"https://openalex.org/C2776545253","wikidata":"https://www.wikidata.org/wiki/Q5464292","display_name":"Folding (DSP implementation)","level":2,"score":0.27730000019073486},{"id":"https://openalex.org/C84035572","wikidata":"https://www.wikidata.org/wiki/Q193463","display_name":"Continuum mechanics","level":2,"score":0.27720001339912415},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.2655999958515167},{"id":"https://openalex.org/C182950735","wikidata":"https://www.wikidata.org/wiki/Q1930978","display_name":"Tensegrity","level":2,"score":0.2639000117778778},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.25870001316070557},{"id":"https://openalex.org/C158843486","wikidata":"https://www.wikidata.org/wiki/Q2137810","display_name":"Complex geometry","level":2,"score":0.2563000023365021},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2540000081062317},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.2538999915122986},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.25220000743865967}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3811301","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3811301","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3811301","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3811301","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3757144313","display_name":null,"funder_award_id":"200021-236469","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W1980362496","https://openalex.org/W1981948516","https://openalex.org/W1989993440","https://openalex.org/W2010696630","https://openalex.org/W2017029836","https://openalex.org/W2054274258","https://openalex.org/W2082254676","https://openalex.org/W2082772288","https://openalex.org/W2100407456","https://openalex.org/W2151997105","https://openalex.org/W2273175535","https://openalex.org/W2298775225","https://openalex.org/W2462407094","https://openalex.org/W2473481598","https://openalex.org/W2580424587","https://openalex.org/W2619785786","https://openalex.org/W2737928588","https://openalex.org/W2738718776","https://openalex.org/W2738757214","https://openalex.org/W2765802355","https://openalex.org/W2811205364","https://openalex.org/W2889004626","https://openalex.org/W2902164547","https://openalex.org/W2903298682","https://openalex.org/W2916220582","https://openalex.org/W2939466506","https://openalex.org/W2949035602","https://openalex.org/W2986066807","https://openalex.org/W3041978570","https://openalex.org/W3048447046","https://openalex.org/W3048481235","https://openalex.org/W3163494870","https://openalex.org/W3185705199","https://openalex.org/W3216264946","https://openalex.org/W4221143994","https://openalex.org/W4243858223","https://openalex.org/W4306990441","https://openalex.org/W4311476793","https://openalex.org/W4385320774","https://openalex.org/W4386571104","https://openalex.org/W4389334855","https://openalex.org/W4389362666","https://openalex.org/W4392548994","https://openalex.org/W4399709303","https://openalex.org/W4400582182","https://openalex.org/W4400582404","https://openalex.org/W4400819729","https://openalex.org/W4400821444","https://openalex.org/W4402748249","https://openalex.org/W4404724745","https://openalex.org/W4409360458","https://openalex.org/W4413780448","https://openalex.org/W6963932533"],"related_works":[],"abstract_inverted_index":{"We":[0,208],"present":[1],"a":[2,63,93,124,135,151,216,234],"computational":[3,94],"framework":[4,95,188],"for":[5,239],"numerical":[6,101],"homogenization":[7,102],"of":[8,31,38,80,119,138,154,193,212,219],"origami":[9,120,155],"materials\u2014thin":[10],"sheets":[11],"structured":[12],"with":[13,134,157,255],"periodic":[14],"crease":[15,65,81,108,139,202],"patterns":[16,225],"that,":[17],"once":[18],"folded,":[19],"exhibit":[20],"diverse":[21,158],"and":[22,57,85,100,110,147,184,250],"often":[23],"unusual":[24],"mechanical":[25,206],"properties.":[26],"Whereas":[27],"the":[28,77,105,116,174,210],"in-plane":[29],"stiffness":[30],"conventional":[32],"sheet":[33],"materials":[34,156],"is":[35,237],"typically":[36],"orders":[37],"magnitude":[39],"larger":[40],"than":[41],"their":[42],"resistance":[43],"to":[44,69,76,103,180,229],"bending,":[45],"origami-based":[46],"folding":[47,83,99],"introduces":[48],"geometric":[49,198],"structure":[50],"that":[51,96,172],"can":[52],"drastically":[53],"reshape":[54],"both":[55,145],"bending":[56,185],"stretching":[58],"behavior.":[59,113,159,207],"However,":[60],"predicting":[61],"how":[62,164,197],"particular":[64],"pattern":[66,109,165],"gives":[67],"rise":[68],"effective":[70,111],"macroscopic":[71,205],"properties":[72],"remains":[73],"challenging":[74],"due":[75],"complex":[78,230],"coupling":[79],"geometry,":[82],"kinematics,":[84],"surface":[86],"deformations.":[87],"In":[88,160],"this":[89,213],"work,":[90,241],"we":[91,122,162,242],"introduce":[92],"integrates":[97],"simulation-based":[98],"explore":[104],"relationship":[106],"between":[107],"material":[112,168],"To":[114],"describe":[115],"macromechanical":[117],"response":[118],"materials,":[121],"employ":[123],"quadratic":[125],"energy":[126],"model":[127],"based":[128],"on":[129],"Classical":[130],"Laminate":[131],"Theory,":[132],"together":[133],"simplified":[136],"treatment":[137],"plasticity.":[140],"Our":[141,187],"unified":[142],"representation":[143],"accommodates":[144],"straight-":[146],"curved-crease":[148,231],"designs,":[149],"revealing":[150],"rich":[152],"space":[153],"particular,":[161],"examine":[163],"symmetry":[166],"governs":[167],"symmetries,":[169],"demonstrating":[170],"examples":[171],"span":[173],"full":[175],"spectrum":[176],"from":[177,222],"perfectly":[178],"isotropic":[179],"highly":[181],"anisotropic":[182],"membrane":[183],"responses.":[186],"further":[189],"enables":[190],"controlled":[191],"exploration":[192],"parameter":[194],"variations,":[195],"illustrating":[196],"features":[199],"such":[200,226],"as":[201,227],"curvature":[203],"shape":[204],"showcase":[209],"potential":[211],"approach":[214],"through":[215],"broad":[217],"set":[218],"examples,":[220],"ranging":[221],"canonical":[223],"straight-crease":[224],"Miura-ori":[228],"tessellations.":[232],"While":[233],"quantitative":[235],"analysis":[236],"left":[238],"future":[240],"validate":[243],"our":[244],"homogenized":[245],"descriptions":[246],"against":[247],"native-scale":[248],"simulations":[249],"qualitatively":[251],"compare":[252],"deformation":[253],"behaviors":[254],"real-world":[256],"prototypes.":[257]},"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2026-07-04T00:00:00"}