{"id":"https://openalex.org/W1731247273","doi":"https://doi.org/10.1137/060649598","title":"Inverse Bounds and Bulk Properties of Complex\u2010Valued Two\u2010Component Composites","display_name":"Inverse Bounds and Bulk Properties of Complex\u2010Valued Two\u2010Component Composites","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1731247273","doi":"https://doi.org/10.1137/060649598","mag":"1731247273"},"language":"en","primary_location":{"id":"doi:10.1137/060649598","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060649598","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://lup.lub.lu.se/record/1786933","any_repository_has_fulltext":true},"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":["Department of Electrical and Information Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Information Technology","institution_ids":[]}]}],"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":0.64,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.69216858,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"67","issue":"1","first_page":"194","last_page":"213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.9987000226974487,"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":0.9987000226974487,"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/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10514","display_name":"Numerical methods in engineering","score":0.9959999918937683,"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/representation","display_name":"Representation (politics)","score":0.6874820590019226},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.6571741104125977},{"id":"https://openalex.org/keywords/volume-fraction","display_name":"Volume fraction","score":0.6146829128265381},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.6144152283668518},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6073755025863647},{"id":"https://openalex.org/keywords/composite-number","display_name":"Composite number","score":0.5779839158058167},{"id":"https://openalex.org/keywords/microstructure","display_name":"Microstructure","score":0.5282249450683594},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.5050695538520813},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.48734959959983826},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4657937288284302},{"id":"https://openalex.org/keywords/permittivity","display_name":"Permittivity","score":0.4594500958919525},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41301673650741577},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3555554747581482},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20879584550857544},{"id":"https://openalex.org/keywords/dielectric","display_name":"Dielectric","score":0.19586670398712158},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1639045774936676},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.11168542504310608},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.08577337861061096}],"concepts":[{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6874820590019226},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.6571741104125977},{"id":"https://openalex.org/C65590680","wikidata":"https://www.wikidata.org/wiki/Q909482","display_name":"Volume fraction","level":2,"score":0.6146829128265381},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.6144152283668518},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6073755025863647},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.5779839158058167},{"id":"https://openalex.org/C87976508","wikidata":"https://www.wikidata.org/wiki/Q1498213","display_name":"Microstructure","level":2,"score":0.5282249450683594},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.5050695538520813},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.48734959959983826},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4657937288284302},{"id":"https://openalex.org/C168651791","wikidata":"https://www.wikidata.org/wiki/Q211569","display_name":"Permittivity","level":3,"score":0.4594500958919525},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41301673650741577},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3555554747581482},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20879584550857544},{"id":"https://openalex.org/C133386390","wikidata":"https://www.wikidata.org/wiki/Q184996","display_name":"Dielectric","level":2,"score":0.19586670398712158},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1639045774936676},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.11168542504310608},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08577337861061096},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/060649598","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060649598","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:lup.lub.lu.se:7ad5da6b-7dd4-4b8d-b93f-ee7df0333002","is_oa":true,"landing_page_url":"https://lup.lub.lu.se/record/1786933","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Technical Report LUTEDX/(TEAT-7141)/1-24/(2005); (2005)","raw_type":"bookanthology/report"},{"id":"pmh:oai:lup.lub.lu.se:8415ef3a-4859-48aa-bd20-8618911fcfd4","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/677634","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Applied Mathematics; 67(1), pp 194-213 (2006)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:lup.lub.lu.se:96ac9fcc-fc27-4746-967e-cbb69231892d","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/96ac9fcc-fc27-4746-967e-cbb69231892d","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0036-1399","raw_type":"info:eu-repo/semantics/article"},{"id":"mag:1731247273","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/search/ws/files/6105912/1786936.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:lup.lub.lu.se:7ad5da6b-7dd4-4b8d-b93f-ee7df0333002","is_oa":true,"landing_page_url":"https://lup.lub.lu.se/record/1786933","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Technical Report LUTEDX/(TEAT-7141)/1-24/(2005); (2005)","raw_type":"bookanthology/report"},"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1964148876","https://openalex.org/W1966130891","https://openalex.org/W1970975070","https://openalex.org/W1976551646","https://openalex.org/W1979526328","https://openalex.org/W1981245623","https://openalex.org/W1982070054","https://openalex.org/W1982955060","https://openalex.org/W1990719388","https://openalex.org/W1993188440","https://openalex.org/W1995374819","https://openalex.org/W1996654868","https://openalex.org/W2004089630","https://openalex.org/W2004959091","https://openalex.org/W2007707425","https://openalex.org/W2009456022","https://openalex.org/W2015925618","https://openalex.org/W2038777987","https://openalex.org/W2044933489","https://openalex.org/W2068511892","https://openalex.org/W2073860215","https://openalex.org/W2078045457","https://openalex.org/W2088531215","https://openalex.org/W2096789448","https://openalex.org/W2102608043","https://openalex.org/W2139661959","https://openalex.org/W2140678772","https://openalex.org/W2148789669","https://openalex.org/W2153922704","https://openalex.org/W4244589554"],"related_works":["https://openalex.org/W1889377986","https://openalex.org/W2096789448","https://openalex.org/W1974534792","https://openalex.org/W1142649680","https://openalex.org/W2338571330","https://openalex.org/W3098283231","https://openalex.org/W2092424889","https://openalex.org/W2565218848","https://openalex.org/W2070713358","https://openalex.org/W3013610540","https://openalex.org/W2907321180","https://openalex.org/W654484070","https://openalex.org/W2067313875","https://openalex.org/W3168299191","https://openalex.org/W3106943391","https://openalex.org/W826148151","https://openalex.org/W2755507601","https://openalex.org/W2516600403","https://openalex.org/W2007067211","https://openalex.org/W2094054097"],"abstract_inverted_index":{"The":[0,65,94],"bulk":[1,101],"properties":[2,102],"of":[3,20,40,62,100,103],"composites":[4],"are":[5,67],"known":[6],"to":[7,49],"depend":[8],"strongly":[9],"on":[10,36,90],"the":[11,29,33,41,51,56,60,73,81,91,104],"microstructure.":[12],"This":[13],"dependence":[14,31],"can":[15],"be":[16],"quantified":[17],"in":[18],"terms":[19],"a":[21,46],"representation":[22,39],"introduced":[23],"by":[24,108],"D.":[25],"Bergman,":[26],"which":[27,77,96],"factorizes":[28],"geometry":[30],"from":[32],"contrast.":[34],"Based":[35],"this":[37],"analytic":[38],"effective":[42],"permittivity,":[43],"we":[44],"present":[45],"general":[47],"scheme":[48],"estimate":[50],"microstructural":[52,92],"parameters":[53],"such":[54],"as":[55,69],"volume":[57],"fraction":[58],"and":[59],"anisotropy":[61],"two\u2010component":[63],"composites.":[64],"estimates":[66,89],"given":[68],"bounds,":[70],"that":[71],"is,":[72],"largest":[74],"parameter":[75],"region":[76],"is":[78,106],"compatible":[79],"with":[80],"available":[82],"information.":[83],"Thus,":[84],"more":[85],"information":[86],"produces":[87],"better":[88],"parameters.":[93],"method,":[95],"uses":[97],"complex\u2010valued":[98],"measurements":[99],"composite,":[105],"illustrated":[107],"numerical":[109],"examples.":[110]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
