{"id":"https://openalex.org/W2017544690","doi":"https://doi.org/10.1080/14786430902915412","title":"Electromechanical response of 2-2 layered piezoelectric composites: A micromechanical model based on the asymptotic homogenization method","display_name":"Electromechanical response of 2-2 layered piezoelectric composites: A micromechanical model based on the asymptotic homogenization method","publication_year":2009,"publication_date":"2009-05-11","ids":{"openalex":"https://openalex.org/W2017544690","doi":"https://doi.org/10.1080/14786430902915412","mag":"2017544690"},"language":"en","primary_location":{"id":"doi:10.1080/14786430902915412","doi":"https://doi.org/10.1080/14786430902915412","is_oa":false,"landing_page_url":"https://doi.org/10.1080/14786430902915412","pdf_url":null,"source":{"id":"https://openalex.org/S168309380","display_name":"The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics","issn_l":"1478-6433","issn":["1478-6433","1478-6435","1478-6443"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","ki-jl-1","norway-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Philosophical Magazine","raw_type":"journal-article"},"volume":null,"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/A5025746434","display_name":"Krishna S. Challagulla","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"K.S. Challagulla","raw_affiliation_strings":["McGill University","Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montreal, Quebec, H3A-2K6, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"McGill University","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montreal, Quebec, H3A-2K6, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113126181","display_name":"T. A. Venkatesh","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"T.A. Venkatesh","raw_affiliation_strings":["Stony Brook University","Department of Materials Science and Engineering, Stony Brook University, Stony Brook, NY 11794-2275 (USA)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stony Brook University","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Department of Materials Science and Engineering, Stony Brook University, Stony Brook, NY 11794-2275 (USA)","institution_ids":["https://openalex.org/I59553526"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113126181"],"corresponding_institution_ids":["https://openalex.org/I59553526"],"apc_list":null,"apc_paid":null,"fwci":0.5278,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.69155768,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"89","issue":"14","first_page":"1197","last_page":"1222"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.6845999956130981,"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":0.6845999956130981,"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/T10107","display_name":"Ferroelectric and Piezoelectric Materials","score":0.16419999301433563,"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"}},{"id":"https://openalex.org/T11608","display_name":"Dielectric materials and actuators","score":0.06260000169277191,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/asymptotic-homogenization","display_name":"asymptotic homogenization","score":0.8389999866485596},{"id":"https://openalex.org/keywords/micromechanical-modeling","display_name":"micromechanical modeling","score":0.8349999785423279},{"id":"https://openalex.org/keywords/effective-dielectric-properties","display_name":"effective dielectric properties","score":0.7929999828338623},{"id":"https://openalex.org/keywords/effective-elastic-properties","display_name":"effective elastic properties","score":0.9279999732971191},{"id":"https://openalex.org/keywords/polymer-ceramic-composites","display_name":"polymer-ceramic composites","score":0.8149999976158142},{"id":"https://openalex.org/keywords/thin-film-composites","display_name":"thin film composites","score":0.8610000014305115},{"id":"https://openalex.org/keywords/acoustic-impedance","display_name":"acoustic impedance","score":0.984000027179718},{"id":"https://openalex.org/keywords/hydrophone","display_name":"hydrophone","score":0.6869999766349792},{"id":"https://openalex.org/keywords/volume-fraction-dependence","display_name":"volume fraction dependence","score":0.9100000262260437}],"concepts":[{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.8747133016586304},{"id":"https://openalex.org/C100082104","wikidata":"https://www.wikidata.org/wiki/Q183759","display_name":"Piezoelectricity","level":2,"score":0.8533312678337097},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.8160330057144165},{"id":"https://openalex.org/C133386390","wikidata":"https://www.wikidata.org/wiki/Q184996","display_name":"Dielectric","level":2,"score":0.6917575001716614},{"id":"https://openalex.org/C65590680","wikidata":"https://www.wikidata.org/wiki/Q909482","display_name":"Volume fraction","level":2,"score":0.6818033456802368},{"id":"https://openalex.org/C134132462","wikidata":"https://www.wikidata.org/wiki/Q45621","display_name":"Ceramic","level":2,"score":0.6808674335479736},{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.5772382020950317},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.5719571113586426},{"id":"https://openalex.org/C98937189","wikidata":"https://www.wikidata.org/wiki/Q975684","display_name":"Acoustic impedance","level":3,"score":0.4957212209701538},{"id":"https://openalex.org/C135405054","wikidata":"https://www.wikidata.org/wiki/Q7193131","display_name":"Piezoelectric coefficient","level":3,"score":0.4536021947860718},{"id":"https://openalex.org/C101842124","wikidata":"https://www.wikidata.org/wiki/Q2449817","display_name":"Transverse isotropy","level":3,"score":0.4460516571998596},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.36423081159591675},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.2920200228691101},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.06719332933425903},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/14786430902915412","doi":"https://doi.org/10.1080/14786430902915412","is_oa":false,"landing_page_url":"https://doi.org/10.1080/14786430902915412","pdf_url":null,"source":{"id":"https://openalex.org/S168309380","display_name":"The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics","issn_l":"1478-6433","issn":["1478-6433","1478-6435","1478-6443"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","ki-jl-1","norway-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Philosophical Magazine","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W585265971","https://openalex.org/W603157174","https://openalex.org/W1258171083","https://openalex.org/W1498734336","https://openalex.org/W1547249381","https://openalex.org/W1553150814","https://openalex.org/W1676467742","https://openalex.org/W1977476298","https://openalex.org/W1987141875","https://openalex.org/W1988606861","https://openalex.org/W1994870661","https://openalex.org/W2007837711","https://openalex.org/W2008142724","https://openalex.org/W2011148383","https://openalex.org/W2011515809","https://openalex.org/W2012089654","https://openalex.org/W2016791545","https://openalex.org/W2020960496","https://openalex.org/W2021929567","https://openalex.org/W2030607721","https://openalex.org/W2035257633","https://openalex.org/W2047952967","https://openalex.org/W2050188279","https://openalex.org/W2050440263","https://openalex.org/W2050873116","https://openalex.org/W2062104481","https://openalex.org/W2063124254","https://openalex.org/W2065177973","https://openalex.org/W2065802139","https://openalex.org/W2066798461","https://openalex.org/W2067742047","https://openalex.org/W2081041816","https://openalex.org/W2082930640","https://openalex.org/W2086535747","https://openalex.org/W2094962005","https://openalex.org/W2097670890","https://openalex.org/W2106806987","https://openalex.org/W2125805103","https://openalex.org/W2127539304","https://openalex.org/W2150281714","https://openalex.org/W2168151095","https://openalex.org/W4235198972"],"related_works":["https://openalex.org/W2383379936","https://openalex.org/W2281145519","https://openalex.org/W2361887780","https://openalex.org/W2358283384","https://openalex.org/W1994753809","https://openalex.org/W3043268847","https://openalex.org/W2071390997","https://openalex.org/W2021714583","https://openalex.org/W2086252343","https://openalex.org/W2013695564"],"abstract_inverted_index":{"A":[0],"micromechanical":[1],"model":[2],"based":[3],"on":[4],"the":[5,14,29,66,84,90,97,105,110,116,125,130,137,148,152,157,165,168,173,200,217,223,234,240,247],"asymptotic":[6],"homogenization":[7],"technique":[8],"has":[9],"been":[10],"developed":[11],"to":[12,214],"predict":[13],"complete":[15],"elastic,":[16,91,140],"dielectric":[17,94,143],"and":[18,35,46,56,59,73,93,142,159,167,195,209,221,239],"piezoelectric":[19,26,42,134,141,175,192,206,236,252],"properties":[20,62,95,118,144,227],"of":[21,40,68,96,104,124,151,216,226],"a":[22,180],"general":[23],"2-2":[24],"layered":[25,41,87,113,133,161,176,202,219],"composite":[27,88,114,135,162,170],"where":[28],"constituent":[30],"phases":[31],"are":[32,49,63],"elastically":[33],"anisotropic":[34],"piezoelectrically":[36],"active.":[37],"Two":[38],"classes":[39],"composites":[43,98,177,203],"(i.e.":[44,71,75,233],"longitudinally":[45,158,201,249],"transversely":[47,160,218],"layered)":[48],"considered":[50],"in":[51,65,83,109,129,164,246],"two":[52],"widely":[53],"different":[54],"ceramic-":[55],"polymer-based":[57],"systems":[58],"their":[60],"effective":[61,139],"obtained":[64,245],"limits":[67],"both":[69,156],"large-volume":[70],"bulk)":[72],"small-volume":[74],"thin-film)":[76],"systems.":[77],"It":[78],"is":[79,244],"demonstrated":[80],"that:":[81],"(i)":[82],"bulk,":[85],"ceramic\u2013ceramic":[86,166],"system,":[89,115,136],"piezoelectric,":[92],"vary":[99,119,145],"linearly":[100,146],"with":[101,121,147,185],"volume":[102,122,149],"fraction":[103,123,150],"second":[106,126,153],"phase,":[107],"while":[108],"bulk":[111],"ceramic\u2013polymer":[112,169,174],"corresponding":[117],"non-linearly":[120],"phase;":[127],"(ii)":[128],"prismatic":[131],"(thin-film)":[132],"non-vanishing,":[138],"phase":[154,184],"for":[155,228],"structures":[163],"systems;":[171],"(iii)":[172],"that":[178,215],"incorporate":[179],"low":[181],"density":[182],"polymeric":[183],"lower":[186,210],"acoustic":[187,197,211,242],"impedance":[188,212],"generally":[189],"exhibit":[190,204],"enhanced":[191],"coupling":[193,207,237],"constants":[194,208,238],"lowered":[196],"impedance;":[198],"(iv)":[199],"higher":[205],"compared":[213],"composites;":[220],"(v)":[222],"best":[224],"combination":[225],"applications":[229],"such":[230],"as":[231],"hydrophones":[232],"highest":[235],"lowest":[241],"impedance)":[243],"ceramic\u2013polymer,":[248],"layered,":[250],"thin-film,":[251],"composites.":[253]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2025-10-10T00:00:00"}
