{"id":"https://openalex.org/W7225809447","doi":"https://doi.org/10.1021/acsaenm.6c01418","title":"Data-Driven Design and Optimization of TPMS Structures: A Critical Review of Deep Learning, Inverse Design, and Multiscale Engineering Applications","display_name":"Data-Driven Design and Optimization of TPMS Structures: A Critical Review of Deep Learning, Inverse Design, and Multiscale Engineering Applications","publication_year":2026,"publication_date":"2026-11-11","ids":{"openalex":"https://openalex.org/W7225809447","doi":"https://doi.org/10.1021/acsaenm.6c01418"},"language":"en","primary_location":{"id":"doi:10.1021/acsaenm.6c01418","doi":"https://doi.org/10.1021/acsaenm.6c01418","is_oa":true,"landing_page_url":"https://doi.org/10.1021/acsaenm.6c01418","pdf_url":null,"source":{"id":"https://openalex.org/S4387282792","display_name":"ACS Applied Engineering Materials","issn_l":"2771-9545","issn":["2771-9545"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320006","host_organization_name":"American Chemical Society","host_organization_lineage":["https://openalex.org/P4310320006"],"host_organization_lineage_names":["American Chemical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACS Applied Engineering Materials","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1021/acsaenm.6c01418","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5161442980","display_name":"Suriya Babu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I138876546","display_name":"Vels University","ror":"https://ror.org/00tscx035","country_code":"IN","type":"education","lineage":["https://openalex.org/I138876546"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Suriya Babu","raw_affiliation_strings":["Vels Institute of Science Technology and Advanced Studies (VISTAS) , , , ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vels Institute of Science Technology and Advanced Studies (VISTAS) , , , ,","institution_ids":["https://openalex.org/I138876546"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007946184","display_name":"Gopalakrishnan Thangavel","orcid":"https://orcid.org/0000-0003-0086-5525","observed_orcids":["https://orcid.org/0000-0003-0086-5525"]},"institutions":[{"id":"https://openalex.org/I138876546","display_name":"Vels University","ror":"https://ror.org/00tscx035","country_code":"IN","type":"education","lineage":["https://openalex.org/I138876546"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Gopalakrishnan Thangavel","raw_affiliation_strings":["Vels Institute of Science Technology and Advanced Studies (VISTAS) , , , ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vels Institute of Science Technology and Advanced Studies (VISTAS) , , , ,","institution_ids":["https://openalex.org/I138876546"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012059292","display_name":"Abhishek Agarwal","orcid":"https://orcid.org/0000-0002-0900-6383","observed_orcids":["https://orcid.org/0000-0002-0900-6383"]},"institutions":[{"id":"https://openalex.org/I111112146","display_name":"Tallinn University of Technology","ror":"https://ror.org/0443cwa12","country_code":"EE","type":"education","lineage":["https://openalex.org/I111112146"]}],"countries":["EE"],"is_corresponding":true,"raw_author_name":"Abhishek Agarwal","raw_affiliation_strings":["Tallinn University of Technology , , ,"],"raw_orcid":"https://orcid.org/0000-0002-0900-6383","affiliations":[{"raw_affiliation_string":"Tallinn University of Technology , , ,","institution_ids":["https://openalex.org/I111112146"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012059292"],"corresponding_institution_ids":["https://openalex.org/I111112146"],"apc_list":{"value":4500,"currency":"USD","value_usd":4500},"apc_paid":{"value":4500,"currency":"USD","value_usd":4500},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11948","display_name":"Machine Learning in Materials Science","score":0.7627000212669373,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11948","display_name":"Machine Learning in Materials Science","score":0.7627000212669373,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.1378999948501587,"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/T10707","display_name":"Cellular and Composite Structures","score":0.07970000058412552,"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"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.6855999827384949},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5666999816894531},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5623999834060669},{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.5116999745368958},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4526999890804291},{"id":"https://openalex.org/C34972735","wikidata":"https://www.wikidata.org/wiki/Q2920267","display_name":"Engineering design process","level":2,"score":0.44609999656677246},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.415800005197525},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4074000120162964},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.375},{"id":"https://openalex.org/C189216461","wikidata":"https://www.wikidata.org/wiki/Q2443456","display_name":"Topology optimization","level":3,"score":0.36970001459121704},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.34940001368522644},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33719998598098755},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.3345000147819519},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33390000462532043},{"id":"https://openalex.org/C34559072","wikidata":"https://www.wikidata.org/wiki/Q2334061","display_name":"Design of experiments","level":2,"score":0.31610000133514404},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.2921000123023987},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.28130000829696655},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.27889999747276306},{"id":"https://openalex.org/C2776221188","wikidata":"https://www.wikidata.org/wiki/Q21072556","display_name":"Design space exploration","level":2,"score":0.27810001373291016},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27730000019073486},{"id":"https://openalex.org/C186394612","wikidata":"https://www.wikidata.org/wiki/Q7098942","display_name":"Optimal design","level":2,"score":0.2662999927997589},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.2648000121116638},{"id":"https://openalex.org/C2778827112","wikidata":"https://www.wikidata.org/wiki/Q22245680","display_name":"Feature engineering","level":3,"score":0.2615000009536743},{"id":"https://openalex.org/C108215451","wikidata":"https://www.wikidata.org/wiki/Q7263963","display_name":"Simulation modeling","level":2,"score":0.26030001044273376},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.25760000944137573},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2513999938964844}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1021/acsaenm.6c01418","doi":"https://doi.org/10.1021/acsaenm.6c01418","is_oa":true,"landing_page_url":"https://doi.org/10.1021/acsaenm.6c01418","pdf_url":null,"source":{"id":"https://openalex.org/S4387282792","display_name":"ACS Applied Engineering Materials","issn_l":"2771-9545","issn":["2771-9545"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320006","host_organization_name":"American Chemical Society","host_organization_lineage":["https://openalex.org/P4310320006"],"host_organization_lineage_names":["American Chemical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACS Applied Engineering Materials","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1021/acsaenm.6c01418","doi":"https://doi.org/10.1021/acsaenm.6c01418","is_oa":true,"landing_page_url":"https://doi.org/10.1021/acsaenm.6c01418","pdf_url":null,"source":{"id":"https://openalex.org/S4387282792","display_name":"ACS Applied Engineering Materials","issn_l":"2771-9545","issn":["2771-9545"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320006","host_organization_name":"American Chemical Society","host_organization_lineage":["https://openalex.org/P4310320006"],"host_organization_lineage_names":["American Chemical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACS Applied Engineering Materials","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":132,"referenced_works":["https://openalex.org/W1510052597","https://openalex.org/W1973333099","https://openalex.org/W1981039871","https://openalex.org/W1984359813","https://openalex.org/W1986147552","https://openalex.org/W1995179757","https://openalex.org/W2021965384","https://openalex.org/W2074176021","https://openalex.org/W2090035581","https://openalex.org/W2108888387","https://openalex.org/W2145738152","https://openalex.org/W2160199853","https://openalex.org/W2345737627","https://openalex.org/W2588555035","https://openalex.org/W2611741623","https://openalex.org/W2621014878","https://openalex.org/W2731639076","https://openalex.org/W2769723045","https://openalex.org/W2774200541","https://openalex.org/W2792550994","https://openalex.org/W2885199833","https://openalex.org/W2895856264","https://openalex.org/W2896796166","https://openalex.org/W2900476956","https://openalex.org/W2909203648","https://openalex.org/W2919958648","https://openalex.org/W2961886349","https://openalex.org/W2979786244","https://openalex.org/W2987979082","https://openalex.org/W3015176898","https://openalex.org/W3018572435","https://openalex.org/W3028072861","https://openalex.org/W3033937423","https://openalex.org/W3083791730","https://openalex.org/W3089926456","https://openalex.org/W3090331102","https://openalex.org/W3105070525","https://openalex.org/W3122951414","https://openalex.org/W3126876084","https://openalex.org/W3132929662","https://openalex.org/W3173514739","https://openalex.org/W3176463520","https://openalex.org/W3179304105","https://openalex.org/W3201458778","https://openalex.org/W3202698649","https://openalex.org/W3207792382","https://openalex.org/W3208333765","https://openalex.org/W3208492199","https://openalex.org/W3213414155","https://openalex.org/W3216639480","https://openalex.org/W4206321046","https://openalex.org/W4213183060","https://openalex.org/W4220660116","https://openalex.org/W4223461113","https://openalex.org/W4293217174","https://openalex.org/W4303453688","https://openalex.org/W4307460303","https://openalex.org/W4309402859","https://openalex.org/W4311711029","https://openalex.org/W4311879944","https://openalex.org/W4313593658","https://openalex.org/W4315628673","https://openalex.org/W4315628777","https://openalex.org/W4376273087","https://openalex.org/W4379230267","https://openalex.org/W4382051831","https://openalex.org/W4386497421","https://openalex.org/W4387024795","https://openalex.org/W4387522542","https://openalex.org/W4387871932","https://openalex.org/W4388451731","https://openalex.org/W4388970950","https://openalex.org/W4389153246","https://openalex.org/W4389337518","https://openalex.org/W4389571962","https://openalex.org/W4391753531","https://openalex.org/W4391939463","https://openalex.org/W4392528489","https://openalex.org/W4392737764","https://openalex.org/W4393254760","https://openalex.org/W4393298664","https://openalex.org/W4395040870","https://openalex.org/W4395045126","https://openalex.org/W4396524231","https://openalex.org/W4396631401","https://openalex.org/W4399160236","https://openalex.org/W4399267667","https://openalex.org/W4399694015","https://openalex.org/W4400016999","https://openalex.org/W4400056978","https://openalex.org/W4401282395","https://openalex.org/W4401327878","https://openalex.org/W4402855874","https://openalex.org/W4403479916","https://openalex.org/W4404506052","https://openalex.org/W4406053753","https://openalex.org/W4407407797","https://openalex.org/W4407637917","https://openalex.org/W4407843055","https://openalex.org/W4409116085","https://openalex.org/W4409181242","https://openalex.org/W4410155950","https://openalex.org/W4410352084","https://openalex.org/W4410369261","https://openalex.org/W4410396260","https://openalex.org/W4411190429","https://openalex.org/W4411521383","https://openalex.org/W4412596288","https://openalex.org/W4412653399","https://openalex.org/W4413119144","https://openalex.org/W4413456729","https://openalex.org/W4414522348","https://openalex.org/W4416526990","https://openalex.org/W4416778753","https://openalex.org/W4417124911","https://openalex.org/W4417438247","https://openalex.org/W7083175273","https://openalex.org/W7083182459","https://openalex.org/W7091274994","https://openalex.org/W7116898741","https://openalex.org/W7119518951","https://openalex.org/W7125508040","https://openalex.org/W7126418774","https://openalex.org/W7138839832","https://openalex.org/W7139940409","https://openalex.org/W7142655998","https://openalex.org/W7143792713","https://openalex.org/W7151434029","https://openalex.org/W7152694844","https://openalex.org/W7155869100","https://openalex.org/W7160337241","https://openalex.org/W7170221364"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Triply":[1],"periodic":[2],"minimal":[3],"surface":[4],"(TPMS)":[5],"structures":[6,147],"provide":[7],"a":[8,88,277,285,288],"compact":[9],"geometric":[10],"platform":[11],"for":[12,32,66,267,283,293],"tailoring":[13],"mechanical,":[14],"thermal\u2212hydraulic,":[15],"transport,":[16],"and":[17,35,49,60,77,82,98,133,140,155,174,200,215,232,243,261,270,274,291],"energy":[18],"absorption":[19],"behaviors,":[20],"but":[21,205],"their":[22],"coupled":[23],"design":[24,51,128,169,203,278],"space":[25],"makes":[26],"repeated":[27],"numerical":[28],"evaluation":[29],"expensive,":[30],"particularly":[31],"functionally":[33,197],"graded":[34,198],"multiscale":[36,83],"structures.":[37],"Data-driven":[38],"methods":[39,149,258],"have":[40],"therefore":[41,255],"been":[42,178],"increasingly":[43],"used":[44,65],"to":[45],"approximate":[46],"structure\u2212property":[47],"relationships":[48],"accelerate":[50],"exploration.":[52],"This":[53],"review":[54,114,254],"critically":[55],"examines":[56],"how":[57],"machine":[58],"learning":[59,62,216],"deep":[61],"are":[63,161,223],"being":[64],"TPMS":[67,146,159],"design,":[68,79],"with":[69,196,246,280],"an":[70],"emphasis":[71],"on":[72,145,163],"forward":[73],"property":[74],"prediction,":[75,286],"inverse":[76],"generative":[78],"surrogate-assisted":[80],"optimization,":[81],"topology":[84],"optimization.":[85],"Studies":[86],"from":[87,148,151],"documented":[89],"search":[90,213],"were":[91],"classified":[92],"by":[93],"the":[94,108,113,116,167,188,191,209,224],"role,":[95],"demonstrated":[96],"architecture,":[97],"reported":[99,117,193],"validation":[100,134],"level.":[101],"Rather":[102],"than":[103,184,265],"treating":[104],"model":[105,217],"accuracy":[106],"as":[107,259],"primary":[109],"measure":[110],"of":[111,121,211,226,237],"progress,":[112],"compares":[115],"approaches":[118],"in":[119],"terms":[120],"training-data":[122],"requirements,":[123],"extrapolation":[124],"behavior,":[125],"computational":[126,251],"savings,":[127],"variables,":[129],"physical":[130],"constraints,":[131],"manufacturability,":[132],"against":[135],"high-fidelity":[136,289],"simulation":[137,231],"or":[138],"experiment,":[139],"it":[141,275],"separates":[142,208],"results":[143],"obtained":[144],"transferred":[150],"strut,":[152],"shell,":[153],"spinodoid,":[154],"other":[156],"architectures.":[157],"Most":[158],"models":[160],"tested":[162],"random":[164],"splits":[165],"within":[166],"sampled":[168],"space;":[170],"few":[171],"test":[172],"extrapolation,":[173],"where":[175],"this":[176],"has":[177],"done,":[179],"failure-related":[180],"quantities":[181],"degraded":[182],"more":[183],"elastic":[185],"properties.":[186],"In":[187],"examples":[189],"examined,":[190],"largest":[192],"gains":[194],"coincide":[195],"designs":[199],"expanded":[201],"spatial":[202],"freedom,":[204],"no":[206],"study":[207],"contributions":[210],"geometry,":[212],"algorithm,":[214],"under":[218,249],"controlled":[219],"conditions.":[220],"Common":[221],"limitations":[222],"lack":[225],"shared":[227],"benchmark":[228],"problems,":[229],"inconsistent":[230],"homogenization":[233],"assumptions,":[234],"limited":[235],"treatment":[236],"manufacturing":[238,294],"variability,":[239],"uncalibrated":[240],"uncertainty":[241],"estimates,":[242],"insufficient":[244],"comparison":[245],"classical":[247],"optimization":[248,272],"equivalent":[250],"budgets.":[252],"The":[253],"positions":[256],"data-driven":[257],"acceleration":[260],"design-exploration":[262],"tools":[263],"rather":[264],"replacements":[266],"physics-based":[268],"analysis":[269],"established":[271],"methods,":[273],"proposes":[276],"workflow":[279],"explicit":[281],"rules":[282],"accepting":[284],"requesting":[287],"evaluation,":[290],"accounting":[292],"deviations.":[295]},"counts_by_year":[],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2026-11-12T00:00:00"}
