{"id":"https://openalex.org/W7102399850","doi":"https://doi.org/10.48550/arxiv.2510.24197","title":"A data-driven multiscale scheme for anisotropic finite strain magneto-elasticity","display_name":"A data-driven multiscale scheme for anisotropic finite strain magneto-elasticity","publication_year":2025,"publication_date":"2025-10-28","ids":{"openalex":"https://openalex.org/W7102399850","doi":"https://doi.org/10.48550/arxiv.2510.24197"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2510.24197","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2510.24197","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":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2510.24197","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Roth, Heinrich T.","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Roth, Heinrich T.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Gebhart, Philipp","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gebhart, Philipp","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Kalina, Karl A.","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kalina, Karl A.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Wallmersperger, Thomas","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wallmersperger, Thomas","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"K\u00e4stner, Markus","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"K\u00e4stner, Markus","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"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":true,"primary_topic":{"id":"https://openalex.org/T10690","display_name":"Vibration Control and Rheological Fluids","score":0.5950000286102295,"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/T10690","display_name":"Vibration Control and Rheological Fluids","score":0.5950000286102295,"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/T11558","display_name":"Composite Material Mechanics","score":0.1307000070810318,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11646","display_name":"Nonlocal and gradient elasticity in micro/nano structures","score":0.12060000002384186,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7240999937057495},{"id":"https://openalex.org/keywords/magnetorheological-fluid","display_name":"Magnetorheological fluid","score":0.5745000243186951},{"id":"https://openalex.org/keywords/microscale-chemistry","display_name":"Microscale chemistry","score":0.5691999793052673},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.566100001335144},{"id":"https://openalex.org/keywords/elastomer","display_name":"Elastomer","score":0.5449000000953674},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4900999963283539},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4797999858856201},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.4715999960899353},{"id":"https://openalex.org/keywords/magnetostriction","display_name":"Magnetostriction","score":0.4334999918937683}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7240999937057495},{"id":"https://openalex.org/C108619579","wikidata":"https://www.wikidata.org/wiki/Q902419","display_name":"Magnetorheological fluid","level":3,"score":0.5745000243186951},{"id":"https://openalex.org/C179428855","wikidata":"https://www.wikidata.org/wiki/Q1069216","display_name":"Microscale chemistry","level":2,"score":0.5691999793052673},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.566100001335144},{"id":"https://openalex.org/C38052585","wikidata":"https://www.wikidata.org/wiki/Q252266","display_name":"Elastomer","level":2,"score":0.5449000000953674},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4900999963283539},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4797999858856201},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.4715999960899353},{"id":"https://openalex.org/C72852350","wikidata":"https://www.wikidata.org/wiki/Q840970","display_name":"Magnetostriction","level":3,"score":0.4334999918937683},{"id":"https://openalex.org/C141123601","wikidata":"https://www.wikidata.org/wiki/Q6935072","display_name":"Multiscale modeling","level":2,"score":0.41530001163482666},{"id":"https://openalex.org/C2778378731","wikidata":"https://www.wikidata.org/wiki/Q17068091","display_name":"Magnetorheological elastomer","level":4,"score":0.40610000491142273},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.40049999952316284},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.3894999921321869},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3686999976634979},{"id":"https://openalex.org/C147370603","wikidata":"https://www.wikidata.org/wiki/Q3801506","display_name":"Hyperelastic material","level":3,"score":0.361299991607666},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.3488999903202057},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3303000032901764},{"id":"https://openalex.org/C30403606","wikidata":"https://www.wikidata.org/wiki/Q2981904","display_name":"Electromagnetic coil","level":2,"score":0.32690000534057617},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.3240000009536743},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.3154999911785126},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31380000710487366},{"id":"https://openalex.org/C31555180","wikidata":"https://www.wikidata.org/wiki/Q3523867","display_name":"Material properties","level":2,"score":0.3052999973297119},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3003000020980835},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.29440000653266907},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.2906000018119812},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.28690001368522644},{"id":"https://openalex.org/C79186407","wikidata":"https://www.wikidata.org/wiki/Q472074","display_name":"Plasticity","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2687000036239624},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2578999996185303},{"id":"https://openalex.org/C163892269","wikidata":"https://www.wikidata.org/wiki/Q15300737","display_name":"Finite strain theory","level":3,"score":0.25760000944137573},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2508000135421753}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2510.24197","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2510.24197","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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2510.24197","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2510.24197","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":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"score":0.4149715304374695,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3,139],"develop":[4],"a":[5,32,52,65,73,149],"neural":[6,76],"network-based,":[7],"data-driven,":[8],"decoupled":[9],"multiscale":[10],"scheme":[11],"for":[12,67],"the":[13,23,44,68,84,102,111,114,117,133,141,145,158,165],"modeling":[14],"of":[15,72,104,113,122,148],"structured":[16],"magnetically":[17],"soft":[18],"magnetorheological":[19],"elastomers":[20],"(MREs).":[21],"On":[22],"microscale,":[24],"sampled":[25],"magneto-mechanical":[26],"loading":[27],"paths":[28],"are":[29,61],"imposed":[30],"on":[31],"representative":[33],"volume":[34],"element":[35,55],"containing":[36],"spherical":[37,151],"particles":[38],"and":[39,43,70,90,101,108,126],"an":[40],"elastomer":[41],"matrix,":[42],"resulting":[45],"boundary":[46],"value":[47],"problem":[48],"is":[49],"solved":[50],"using":[51],"mixed":[53],"finite":[54],"formulation.":[56],"The":[57,79],"computed":[58],"microscale":[59],"responses":[60],"homogenized":[62],"to":[63,143],"construct":[64],"database":[66],"training":[69,89,115],"testing":[71],"macroscopic":[74,150],"physics-augmented":[75],"network":[77],"model.":[78],"proposed":[80],"model":[81,118,134,142],"automatically":[82],"detects":[83],"material's":[85,166],"preferred":[86,167],"direction":[87,161],"during":[88],"enforces":[91],"key":[92],"physical":[93],"principles,":[94],"including":[95],"objectivity,":[96],"material":[97],"symmetry,":[98],"thermodynamic":[99],"consistency,":[100],"normalization":[103],"free":[105],"energy,":[106],"stress,":[107,125],"magnetization.":[109],"Within":[110],"range":[112],"data,":[116],"enables":[119],"accurate":[120],"predictions":[121],"magnetization,":[123],"mechanical":[124],"total":[127],"stress.":[128],"For":[129],"larger":[130],"magnetic":[131,159],"fields,":[132],"yields":[135],"plausible":[136],"results.":[137],"Finally,":[138],"apply":[140],"investigate":[144],"magnetostrictive":[146],"behavior":[147],"MRE":[152],"sample,":[153],"which":[154],"exhibits":[155],"contraction":[156],"along":[157],"field":[160],"when":[162],"aligned":[163],"with":[164],"direction.":[168]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2025-10-30T00:00:00"}