{"id":"https://openalex.org/W2167963114","doi":"https://doi.org/10.1115/1.3138550","title":"Finite Element Analysis of a Three-Dimensional Open-Celled Model for Trabecular Bone","display_name":"Finite Element Analysis of a Three-Dimensional Open-Celled Model for Trabecular Bone","publication_year":1985,"publication_date":"1985-08-01","ids":{"openalex":"https://openalex.org/W2167963114","doi":"https://doi.org/10.1115/1.3138550","mag":"2167963114","pmid":"https://pubmed.ncbi.nlm.nih.gov/4046566"},"language":"en","primary_location":{"id":"doi:10.1115/1.3138550","doi":"https://doi.org/10.1115/1.3138550","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.3138550","pdf_url":null,"source":{"id":"https://openalex.org/S4210187999","display_name":"Journal of Biomechanical Engineering","issn_l":"0148-0731","issn":["0148-0731","1528-8951"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Biomechanical Engineering","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049530601","display_name":"Gary S. Beaupr\u00e9","orcid":"https://orcid.org/0000-0002-6211-7621","observed_orcids":["https://orcid.org/0000-0002-6211-7621"]},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. S. Beaupre","raw_affiliation_strings":["Orthopaedic Biomechanics Laboratory, Department of Orthopaedic Surgery, Charles A. Dana Research Institute, Beth Israel Hospital and Harvard Medical School, Boston, Mass. 02215"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Orthopaedic Biomechanics Laboratory, Department of Orthopaedic Surgery, Charles A. Dana Research Institute, Beth Israel Hospital and Harvard Medical School, Boston, Mass. 02215","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111922267","display_name":"Wilson C. Hayes","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"W. C. Hayes","raw_affiliation_strings":["Orthopaedic Biomechanics Laboratory, Department of Orthopaedic Surgery, Charles A. Dana Research Institute, Beth Israel Hospital and Harvard Medical School, Boston, Mass. 02215"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Orthopaedic Biomechanics Laboratory, Department of Orthopaedic Surgery, Charles A. Dana Research Institute, Beth Israel Hospital and Harvard Medical School, Boston, Mass. 02215","institution_ids":["https://openalex.org/I136199984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I136199984"],"apc_list":null,"apc_paid":null,"fwci":13.0182,"has_fulltext":false,"cited_by_count":101,"citation_normalized_percentile":{"value":0.98931534,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"107","issue":"3","first_page":"249","last_page":"256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10707","display_name":"Cellular and Composite Structures","score":0.7157999873161316,"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/T10707","display_name":"Cellular and Composite Structures","score":0.7157999873161316,"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/T11558","display_name":"Composite Material Mechanics","score":0.1770000010728836,"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/T10071","display_name":"Bone health and osteoporosis research","score":0.04010000079870224,"subfield":{"id":"https://openalex.org/subfields/2732","display_name":"Orthopedics and Sports Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/trabecular-bone","display_name":"trabecular bone","score":0.9959999918937683},{"id":"https://openalex.org/keywords/open-cell-foam","display_name":"open-cell foams","score":0.7170000076293945},{"id":"https://openalex.org/keywords/porous-media","display_name":"porous media","score":0.3869999945163727},{"id":"https://openalex.org/keywords/elastic-constants","display_name":"elastic constants","score":0.7229999899864197},{"id":"https://openalex.org/keywords/cubic-symmetry","display_name":"cubic symmetry","score":0.7590000033378601},{"id":"https://openalex.org/keywords/uniaxial-compression","display_name":"uniaxial compression","score":0.8970000147819519},{"id":"https://openalex.org/keywords/latex-foam","display_name":"latex foam","score":0.6890000104904175},{"id":"https://openalex.org/keywords/subchondral-bone","display_name":"subchondral bone","score":0.6779999732971191}],"concepts":[{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.7203643918037415},{"id":"https://openalex.org/C33347731","wikidata":"https://www.wikidata.org/wiki/Q285210","display_name":"Stacking","level":2,"score":0.4604291617870331},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.4554178714752197},{"id":"https://openalex.org/C2779772531","wikidata":"https://www.wikidata.org/wiki/Q19689164","display_name":"Void (composites)","level":2,"score":0.44988471269607544},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.44945070147514343},{"id":"https://openalex.org/C43486711","wikidata":"https://www.wikidata.org/wiki/Q192005","display_name":"Elastic modulus","level":2,"score":0.4453601539134979},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.42874905467033386},{"id":"https://openalex.org/C193867417","wikidata":"https://www.wikidata.org/wiki/Q6889814","display_name":"Modulus","level":2,"score":0.42606598138809204},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.3996571898460388},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.24894675612449646},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.11577272415161133},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[{"descriptor_ui":"D001842","descriptor_name":"Bone and Bones","qualifier_ui":"Q000033","qualifier_name":"anatomy & histology","is_major_topic":false},{"descriptor_ui":"D001842","descriptor_name":"Bone and Bones","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":true},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008961","descriptor_name":"Models, Structural","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013314","descriptor_name":"Stress, Mechanical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1115/1.3138550","doi":"https://doi.org/10.1115/1.3138550","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.3138550","pdf_url":null,"source":{"id":"https://openalex.org/S4210187999","display_name":"Journal of Biomechanical Engineering","issn_l":"0148-0731","issn":["0148-0731","1528-8951"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Biomechanical Engineering","raw_type":"journal-article"},{"id":"pmid:4046566","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/4046566","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of biomechanical engineering","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1558354842","display_name":null,"funder_award_id":"AM 30875","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G2339404796","display_name":null,"funder_award_id":"AM-26740","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G695492302","display_name":null,"funder_award_id":"AM-00368","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2089681605","https://openalex.org/W2626913372","https://openalex.org/W2521910866","https://openalex.org/W6992773522","https://openalex.org/W2128569032","https://openalex.org/W2769207522","https://openalex.org/W2551648378","https://openalex.org/W2380085049","https://openalex.org/W1972773606","https://openalex.org/W326452329"],"abstract_inverted_index":{"Based":[0,82],"on":[1,83],"a":[2,11,27],"regular":[3],"array":[4],"of":[5,29,37,61,93],"cubic":[6,103],"unit":[7,38,57],"cells,":[8,39],"each":[9],"containing":[10],"body-centered":[12],"spherical":[13],"void,":[14],"we":[15,89],"created":[16],"an":[17,97,123],"idealized":[18],"three-dimensional":[19],"model":[20,70],"for":[21,96,115,122],"both":[22,74],"subchondral":[23],"trabecular":[24,117],"bone":[25,118],"and":[26,52,78,119],"class":[28],"porous":[30,64],"foams.":[31],"By":[32],"considering":[33],"only":[34],"face-to-face":[35],"stacking":[36],"the":[40,48,50,62,69,84,91,108],"inherent":[41],"symmetry":[42],"was":[43,71],"such":[44],"that,":[45],"except":[46],"at":[47],"surface,":[49],"displacements":[51,68],"stresses":[53],"within":[54],"any":[55],"one":[56],"cell":[58],"were":[59],"representative":[60],"entire":[63],"structure.":[65],"Using":[66],"prescribed":[67],"loaded":[72],"in":[73],"uniaxial":[75,79],"compressive":[76],"strain":[77],"shear":[80],"strain.":[81],"response":[85],"to":[86],"these":[87],"loads,":[88],"found":[90],"tensor":[92],"elastic":[94,100],"constants":[95],"equivalent":[98],"homogeneous":[99],"solid":[101],"with":[102,111],"symmetry.":[104],"We":[105],"then":[106],"compared":[107],"predicted":[109],"modulus":[110],"our":[112],"experimental":[113],"values":[114,121],"bovine":[116],"literature":[120],"open-celled":[124],"latex":[125],"rubber":[126],"foam.":[127]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":7},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}