{"id":"https://openalex.org/W2063079097","doi":"https://doi.org/10.1137/070683039","title":"Inverse Bounds of Two-Component Composites","display_name":"Inverse Bounds of Two-Component Composites","publication_year":2007,"publication_date":"2007-12-13","ids":{"openalex":"https://openalex.org/W2063079097","doi":"https://doi.org/10.1137/070683039","mag":"2063079097"},"language":"en","primary_location":{"id":"doi:10.1137/070683039","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070683039","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036622670","display_name":"Christian Engstr\u00f6m","orcid":"https://orcid.org/0000-0002-1027-3825"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Christian Engstr\u00f6m","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5036622670"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6798,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.74428059,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"68","issue":"3","first_page":"666","last_page":"679"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.9994999766349792,"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":0.9994999766349792,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9947999715805054,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.7757037281990051},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.7279148101806641},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.7200169563293457},{"id":"https://openalex.org/keywords/riemann\u2013stieltjes-integral","display_name":"Riemann\u2013Stieltjes integral","score":0.6090287566184998},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5998056530952454},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5686810612678528},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.5535352230072021},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5341922640800476},{"id":"https://openalex.org/keywords/volume-fraction","display_name":"Volume fraction","score":0.5238670706748962},{"id":"https://openalex.org/keywords/permittivity","display_name":"Permittivity","score":0.5134361982345581},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4473270773887634},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.3549501895904541},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3115745186805725},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.26395073533058167},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22075870633125305},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14167219400405884},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12231633067131042},{"id":"https://openalex.org/keywords/dielectric","display_name":"Dielectric","score":0.10883939266204834}],"concepts":[{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.7757037281990051},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.7279148101806641},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7200169563293457},{"id":"https://openalex.org/C167211080","wikidata":"https://www.wikidata.org/wiki/Q285771","display_name":"Riemann\u2013Stieltjes integral","level":3,"score":0.6090287566184998},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5998056530952454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5686810612678528},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5535352230072021},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5341922640800476},{"id":"https://openalex.org/C65590680","wikidata":"https://www.wikidata.org/wiki/Q909482","display_name":"Volume fraction","level":2,"score":0.5238670706748962},{"id":"https://openalex.org/C168651791","wikidata":"https://www.wikidata.org/wiki/Q211569","display_name":"Permittivity","level":3,"score":0.5134361982345581},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4473270773887634},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.3549501895904541},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3115745186805725},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.26395073533058167},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22075870633125305},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14167219400405884},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12231633067131042},{"id":"https://openalex.org/C133386390","wikidata":"https://www.wikidata.org/wiki/Q184996","display_name":"Dielectric","level":2,"score":0.10883939266204834},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/070683039","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070683039","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.6299999952316284}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1641896143","https://openalex.org/W1964148876","https://openalex.org/W1966130891","https://openalex.org/W1971023921","https://openalex.org/W1979526328","https://openalex.org/W1982070054","https://openalex.org/W1993188440","https://openalex.org/W1995374819","https://openalex.org/W1996654868","https://openalex.org/W1997083826","https://openalex.org/W2004522465","https://openalex.org/W2007707425","https://openalex.org/W2044933489","https://openalex.org/W2053287971","https://openalex.org/W2067012617","https://openalex.org/W2073421202","https://openalex.org/W2083926174","https://openalex.org/W2094909584","https://openalex.org/W2096789448","https://openalex.org/W2140678772","https://openalex.org/W2148789669","https://openalex.org/W2153922704","https://openalex.org/W2504619654","https://openalex.org/W4244589554"],"related_works":["https://openalex.org/W2555414267","https://openalex.org/W52186027","https://openalex.org/W4386761228","https://openalex.org/W2792709828","https://openalex.org/W106805395","https://openalex.org/W4224324299","https://openalex.org/W2016679969","https://openalex.org/W2181674488","https://openalex.org/W2794789911","https://openalex.org/W4298134547"],"abstract_inverted_index":{"A":[0],"method":[1,55],"is":[2,17,83,88],"presented":[3],"for":[4],"estimating":[5],"microstructural":[6],"parameters":[7],"from":[8],"permittivity":[9],"measurements":[10],"of":[11,29,45,49,63],"two-component":[12],"composites.":[13],"This":[14],"structural":[15],"information":[16],"described":[18],"by":[19],"a":[20,54,61],"particular":[21],"positive":[22],"measure":[23],"in":[24],"the":[25,30,36,43,47,50,80,86,96],"Stieltjes":[26],"integral":[27],"representation":[28],"effective":[31],"permittivity.":[32],"The":[33],"dependence":[34],"on":[35,71],"geometrical":[37,93],"structure":[38,94],"can":[39],"be":[40],"reduced":[41],"to":[42,68],"problem":[44],"calculating":[46],"moments":[48],"measure.":[51],"We":[52],"present":[53],"that":[56],"uses":[57],"measurement":[58],"data":[59],"at":[60],"set":[62],"distinct":[64],"frequencies":[65],"or":[66,85],"temperatures":[67],"calculate":[69],"bounds":[70,76],"several":[72],"moments.":[73],"These":[74],"inverse":[75],"are":[77],"improved":[78],"when":[79],"volume":[81],"fraction":[82],"known":[84,92],"material":[87],"isotropic.":[89],"Composites":[90],"with":[91],"illustrate":[95],"method.":[97]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
