{"id":"https://openalex.org/W1984720921","doi":"https://doi.org/10.1137/s0036139995295153","title":"Heat Conduction in Fine Scale Mixtures With Interfacial Contact Resistance","display_name":"Heat Conduction in Fine Scale Mixtures With Interfacial Contact Resistance","publication_year":1998,"publication_date":"1998-02-01","ids":{"openalex":"https://openalex.org/W1984720921","doi":"https://doi.org/10.1137/s0036139995295153","mag":"1984720921"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139995295153","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139995295153","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://conservancy.umn.edu/bitstreams/0488fd58-f43d-47cb-8f4b-f71d7b72877a/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040697039","display_name":"Robert Lipton","orcid":"https://orcid.org/0000-0002-1382-3204"},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert Lipton","raw_affiliation_strings":["Department of Mathematical Sciences Worcester Polytechnic Institute 100 Institute Road Worcester, MA 01609"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences Worcester Polytechnic Institute 100 Institute Road Worcester, MA 01609","institution_ids":["https://openalex.org/I107077323"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040697039"],"corresponding_institution_ids":["https://openalex.org/I107077323"],"apc_list":null,"apc_paid":null,"fwci":0.6701,"has_fulltext":true,"cited_by_count":60,"citation_normalized_percentile":{"value":0.63805384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"58","issue":"1","first_page":"55","last_page":"72"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":1.0,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.8648451566696167},{"id":"https://openalex.org/keywords/thermal-conduction","display_name":"Thermal conduction","score":0.832508385181427},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.6472283601760864},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.5865862369537354},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5127521753311157},{"id":"https://openalex.org/keywords/thermal-contact-conductance","display_name":"Thermal contact conductance","score":0.5105170011520386},{"id":"https://openalex.org/keywords/thermal-conductivity","display_name":"Thermal conductivity","score":0.48889318108558655},{"id":"https://openalex.org/keywords/electrical-conductor","display_name":"Electrical conductor","score":0.43689700961112976},{"id":"https://openalex.org/keywords/conductivity","display_name":"Conductivity","score":0.4251476526260376},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4168325662612915},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4116094410419464},{"id":"https://openalex.org/keywords/thermal-resistance","display_name":"Thermal resistance","score":0.38002124428749084},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.35254567861557007},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.3454534709453583},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.34005916118621826},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.31715092062950134},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.233617901802063}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.8648451566696167},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.832508385181427},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.6472283601760864},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.5865862369537354},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5127521753311157},{"id":"https://openalex.org/C45058047","wikidata":"https://www.wikidata.org/wiki/Q4119687","display_name":"Thermal contact conductance","level":4,"score":0.5105170011520386},{"id":"https://openalex.org/C97346530","wikidata":"https://www.wikidata.org/wiki/Q487005","display_name":"Thermal conductivity","level":2,"score":0.48889318108558655},{"id":"https://openalex.org/C202374169","wikidata":"https://www.wikidata.org/wiki/Q124291","display_name":"Electrical conductor","level":2,"score":0.43689700961112976},{"id":"https://openalex.org/C131540310","wikidata":"https://www.wikidata.org/wiki/Q907564","display_name":"Conductivity","level":2,"score":0.4251476526260376},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4168325662612915},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4116094410419464},{"id":"https://openalex.org/C137693562","wikidata":"https://www.wikidata.org/wiki/Q899628","display_name":"Thermal resistance","level":3,"score":0.38002124428749084},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.35254567861557007},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.3454534709453583},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.34005916118621826},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.31715092062950134},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.233617901802063},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/s0036139995295153","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139995295153","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:conservancy.umn.edu:11299/2860","is_oa":true,"landing_page_url":"http://purl.umn.edu/2860","pdf_url":"https://conservancy.umn.edu/bitstreams/0488fd58-f43d-47cb-8f4b-f71d7b72877a/download","source":{"id":"https://openalex.org/S4306402521","display_name":"University of Minnesota Digital Conservancy (University of Minnesota)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130238516","host_organization_name":"University of Minnesota","host_organization_lineage":["https://openalex.org/I130238516"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:digitalcommons.lsu.edu:mathematics_pubs-1774","is_oa":false,"landing_page_url":"https://digitalcommons.lsu.edu/mathematics_pubs/775","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.50.4338","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.50.4338","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ima.umn.edu/preprints/November1995/1358.ps","raw_type":"text"},{"id":"pmh:oai:repository.lsu.edu:mathematics_pubs-1774","is_oa":false,"landing_page_url":"https://repository.lsu.edu/mathematics_pubs/775","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:conservancy.umn.edu:11299/2860","is_oa":true,"landing_page_url":"http://purl.umn.edu/2860","pdf_url":"https://conservancy.umn.edu/bitstreams/0488fd58-f43d-47cb-8f4b-f71d7b72877a/download","source":{"id":"https://openalex.org/S4306402521","display_name":"University of Minnesota Digital Conservancy (University of Minnesota)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130238516","host_organization_name":"University of Minnesota","host_organization_lineage":["https://openalex.org/I130238516"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.6899999976158142,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G6006794474","display_name":"Mathematical Sciences: Analysis of Transport Properties     for Composites and Multi-Phase Flows with Application to    Optimal Design","funder_award_id":"9403866","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1984720921.pdf","grobid_xml":"https://content.openalex.org/works/W1984720921.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1500532664","https://openalex.org/W1547249381","https://openalex.org/W1593038947","https://openalex.org/W1676467742","https://openalex.org/W1990719388","https://openalex.org/W1995374819","https://openalex.org/W2000757613","https://openalex.org/W2008886880","https://openalex.org/W2037000191","https://openalex.org/W2039839629","https://openalex.org/W2041620563","https://openalex.org/W2047541317","https://openalex.org/W2058394211","https://openalex.org/W2066310723","https://openalex.org/W2075562503","https://openalex.org/W2075871778","https://openalex.org/W2086902574","https://openalex.org/W2109843552","https://openalex.org/W2113841508"],"related_works":["https://openalex.org/W2012525909","https://openalex.org/W2975919694","https://openalex.org/W4308751142","https://openalex.org/W2060147246","https://openalex.org/W2503177253","https://openalex.org/W2729659941","https://openalex.org/W4378377123","https://openalex.org/W2387412481","https://openalex.org/W2403835168","https://openalex.org/W2029360191"],"abstract_inverted_index":{"Heat":[0],"conduction":[1],"in":[2,12,26],"a":[3,16,75,87],"fine":[4],"scale":[5],"mixture":[6],"of":[7,15,29,35,52,61],"two":[8],"conductors":[9],"is":[10,23,78,81],"examined":[11],"the":[13,27,33,41,53,59,62,69],"presence":[14],"contact":[17],"resistance":[18],"between":[19,39],"phases.":[20],"The":[21,49,64],"problem":[22],"studied":[24],"rigorously":[25],"context":[28],"periodic":[30],"homogenization.":[31],"Unlike":[32],"case":[34],"perfect":[36],"heat":[37,71],"transmission":[38],"phases,":[40],"temperature":[42],"gradients":[43],"converge":[44],"weakly":[45],"as":[46],"Radon":[47],"measures.":[48],"strict":[50],"ellipticity":[51],"homogenized":[54],"transport":[55],"equation":[56],"depends":[57],"upon":[58],"geometry":[60],"interface.":[63],"effective":[65],"conductivity":[66],"associated":[67],"with":[68],"overall":[70],"dissipation":[72],"rate":[73],"inside":[74],"composite":[76],"cube":[77],"considered.":[79],"It":[80],"shown":[82],"that":[83],"this":[84],"property":[85],"exhibits":[86],"size":[88],"effect":[89],"under":[90],"rescaling.":[91]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-23T09:07:50.710637","created_date":"2025-10-10T00:00:00"}