{"id":"https://openalex.org/W4403161279","doi":"https://doi.org/10.48550/arxiv.2409.00994","title":"Physics-informed DeepONet with stiffness-based loss functions for structural response prediction","display_name":"Physics-informed DeepONet with stiffness-based loss functions for structural response prediction","publication_year":2024,"publication_date":"2024-09-02","ids":{"openalex":"https://openalex.org/W4403161279","doi":"https://doi.org/10.48550/arxiv.2409.00994"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2409.00994","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2409.00994","pdf_url":"https://arxiv.org/pdf/2409.00994","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2409.00994","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034741297","display_name":"Bilal Ahmed","orcid":"https://orcid.org/0000-0002-6707-822X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ahmed, Bilal","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077525165","display_name":"Yuqing Qiu","orcid":"https://orcid.org/0000-0002-4878-4313"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qiu, Yuqing","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015479227","display_name":"Diab Abueidda","orcid":"https://orcid.org/0000-0003-3594-2455"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Abueidda, Diab W.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010338717","display_name":"Waleed El-Sekelly","orcid":"https://orcid.org/0000-0002-6600-646X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"El-Sekelly, Waleed","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107784347","display_name":"Borja Garcia de Soto","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"de Soto, Borja Garcia","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084508248","display_name":"Tarek Abdoun","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Abdoun, Tarek","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5061440922","display_name":"Mostafa E. Mobasher","orcid":"https://orcid.org/0000-0002-5108-4713"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mobasher, Mostafa E.","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5034741297"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9983999729156494,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9760000109672546,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12682","display_name":"Smart Materials for Construction","score":0.9631999731063843,"subfield":{"id":"https://openalex.org/subfields/2310","display_name":"Pollution"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stiffness","display_name":"Stiffness","score":0.6622143387794495},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.3838668465614319},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.36237603425979614},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.35879743099212646},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3005495071411133}],"concepts":[{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.6622143387794495},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.3838668465614319},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36237603425979614},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35879743099212646},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3005495071411133}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2409.00994","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2409.00994","pdf_url":"https://arxiv.org/pdf/2409.00994","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2409.00994","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2409.00994","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2409.00994","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2409.00994","pdf_url":"https://arxiv.org/pdf/2409.00994","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2351837897","https://openalex.org/W2384416889"],"abstract_inverted_index":{"Finite":[0],"element":[1],"modeling":[2,11],"is":[3],"a":[4,46,83,86,116,122,127,140,148,158],"well-established":[5],"tool":[6],"for":[7,34,78,94,101],"structural":[8,38,54,166],"analysis,":[9],"yet":[10],"complex":[12],"structures":[13],"often":[14],"requires":[15],"extensive":[16,95],"pre-processing,":[17],"significant":[18],"analysis":[19,98],"effort,":[20],"and":[21,70,97,121,143,173,186,226,230],"considerable":[22],"time.":[23,213,239],"This":[24,57,88,163,214],"study":[25,215],"addresses":[26],"this":[27],"challenge":[28],"by":[29,53],"introducing":[30],"an":[31,202],"innovative":[32],"method":[33,112,164],"real-time":[35],"prediction":[36],"of":[37,85,126,197,205],"static":[39,187],"responses":[40,65],"using":[41,189],"DeepOnet":[42],"which":[43],"relies":[44],"on":[45],"novel":[47,159,180],"approach":[48,58],"to":[49,62,113,153,169,200],"physics-informed":[50,160,181],"networks":[51],"driven":[52],"balance":[55],"laws.":[56],"offers":[59],"the":[60,79,92,110,190],"flexibility":[61],"accurately":[63,225],"predict":[64,131,228],"under":[66],"various":[67,195],"load":[68],"classes":[69],"magnitudes.":[71],"The":[72],"trained":[73],"DeepONet":[74],"can":[75,224],"generate":[76],"solutions":[77],"entire":[80],"domain,":[81],"within":[82],"fraction":[84],"second.":[87],"capability":[89],"effectively":[90],"eliminates":[91],"need":[93],"remodeling":[96],"typically":[99],"required":[100],"each":[102,233],"new":[103],"case":[104],"in":[105,178],"FE":[106],"modeling.":[107],"We":[108,193],"apply":[109],"proposed":[111],"two":[114,138,179],"structures:":[115],"simple":[117],"2D":[118],"beam":[119],"structure":[120],"comprehensive":[123],"3D":[124],"model":[125],"real":[128],"bridge.":[129],"To":[130],"multiple":[132,144],"variables":[133],"with":[134,209,220,236],"DeepONet,":[135,218],"we":[136,156],"utilize":[137],"strategies:":[139],"split":[141],"branch/trunk":[142],"DeepONets":[145],"combined":[146],"into":[147],"single":[149],"DeepONet.":[150],"In":[151],"addition":[152],"data-driven":[154],"training,":[155],"introduce":[157],"training":[161,212,238],"approaches.":[162],"leverages":[165],"stiffness":[167],"matrices":[168],"enforce":[170],"fundamental":[171],"equilibrium":[172,188],"energy":[174,184],"conservation":[175,185],"principles,":[176],"resulting":[177],"loss":[182,198,222],"functions:":[183],"Schur":[191],"complement.":[192],"use":[194],"combinations":[196],"functions":[199],"achieve":[201],"error":[203],"rate":[204],"less":[206],"than":[207],"5%":[208],"significantly":[210],"reduced":[211,237],"shows":[216],"that":[217],"enhanced":[219],"hybrid":[221],"functions,":[223],"efficiently":[227],"displacements":[229],"rotations":[231],"at":[232],"mesh":[234],"point,":[235]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2024-10-06T00:00:00"}