{"id":"https://openalex.org/W4316813193","doi":"https://doi.org/10.3390/computation11020015","title":"On the Influence of Initial Stresses on the Velocity of Elastic Waves in Composites","display_name":"On the Influence of Initial Stresses on the Velocity of Elastic Waves in Composites","publication_year":2023,"publication_date":"2023-01-17","ids":{"openalex":"https://openalex.org/W4316813193","doi":"https://doi.org/10.3390/computation11020015"},"language":"en","primary_location":{"id":"doi:10.3390/computation11020015","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/computation11020015","pdf_url":"https://www.mdpi.com/2079-3197/11/2/15/pdf?version=1673948622","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/11/2/15/pdf?version=1673948622","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070279057","display_name":"A. G. Kolpakov","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115688","display_name":"Institute for Systems Analysis","ror":"https://ror.org/02kmet255","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210115688"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander G. Kolpakov","raw_affiliation_strings":["SysAn\u2014System Analysis in Engineering, 630075 Novosibirsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SysAn\u2014System Analysis in Engineering, 630075 Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210115688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014166874","display_name":"Igor V. Andrianov","orcid":"https://orcid.org/0000-0002-2762-8565"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Igor V. Andrianov","raw_affiliation_strings":["Chair and Institute of General Mechanics, RWTH Aachen University, Eilfschornsteinstrase 18, D-52062 Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-2762-8565","affiliations":[{"raw_affiliation_string":"Chair and Institute of General Mechanics, RWTH Aachen University, Eilfschornsteinstrase 18, D-52062 Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112958613","display_name":"Sergey I. Rakin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210135727","display_name":"Siberian Transport University","ror":"https://ror.org/02v157r64","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210135727"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Sergey I. Rakin","raw_affiliation_strings":["Mathematics Department, Siberian Transport University, Dusi Kovalchuk, 630049 Novosibirsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, Siberian Transport University, Dusi Kovalchuk, 630049 Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210135727"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014166874"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.388,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61019649,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"11","issue":"2","first_page":"15","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T11558","display_name":"Composite Material Mechanics","score":0.9998999834060669,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/homogenization","display_name":"Homogenization (climate)","score":0.734488308429718},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6276904940605164},{"id":"https://openalex.org/keywords/asymptotic-homogenization","display_name":"Asymptotic homogenization","score":0.4955950975418091},{"id":"https://openalex.org/keywords/wave-propagation","display_name":"Wave propagation","score":0.4288228750228882},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.4166017174720764},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.4082728624343872},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3889806270599365},{"id":"https://openalex.org/keywords/composite-number","display_name":"Composite number","score":0.38611042499542236},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.33320653438568115},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3317636549472809},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.33156728744506836},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3152812123298645},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26707521080970764}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.734488308429718},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6276904940605164},{"id":"https://openalex.org/C2777581374","wikidata":"https://www.wikidata.org/wiki/Q4812185","display_name":"Asymptotic homogenization","level":3,"score":0.4955950975418091},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.4288228750228882},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.4166017174720764},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.4082728624343872},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3889806270599365},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.38611042499542236},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.33320653438568115},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3317636549472809},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.33156728744506836},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3152812123298645},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26707521080970764},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/computation11020015","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/computation11020015","pdf_url":"https://www.mdpi.com/2079-3197/11/2/15/pdf?version=1673948622","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:799f20efd4b44e0cb69437dd47ecffd9","is_oa":true,"landing_page_url":"https://doaj.org/article/799f20efd4b44e0cb69437dd47ecffd9","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 11, Iss 2, p 15 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2079-3197/11/2/15/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/computation11020015","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation; Volume 11; Issue 2; Pages: 15","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/computation11020015","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/computation11020015","pdf_url":"https://www.mdpi.com/2079-3197/11/2/15/pdf?version=1673948622","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4316813193.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W229464642","https://openalex.org/W610302084","https://openalex.org/W1966886741","https://openalex.org/W1977322475","https://openalex.org/W1995684277","https://openalex.org/W2014497912","https://openalex.org/W2023701895","https://openalex.org/W2027239222","https://openalex.org/W2027890994","https://openalex.org/W2040289563","https://openalex.org/W2043873873","https://openalex.org/W2044948088","https://openalex.org/W2049286683","https://openalex.org/W2053194117","https://openalex.org/W2076578485","https://openalex.org/W2121310010","https://openalex.org/W2121764413","https://openalex.org/W2162907713","https://openalex.org/W2503880918","https://openalex.org/W2542670449","https://openalex.org/W3043714582","https://openalex.org/W3046057255","https://openalex.org/W3113030804","https://openalex.org/W4205531270","https://openalex.org/W4210728802","https://openalex.org/W4211103823","https://openalex.org/W4212987951","https://openalex.org/W4224014187","https://openalex.org/W4229445226","https://openalex.org/W4234560916","https://openalex.org/W4249303611","https://openalex.org/W4256087260","https://openalex.org/W4280494788","https://openalex.org/W4290080836","https://openalex.org/W6653861727","https://openalex.org/W6987582754"],"related_works":["https://openalex.org/W2065177973","https://openalex.org/W2909557382","https://openalex.org/W1629114577","https://openalex.org/W1988305515","https://openalex.org/W4226182039","https://openalex.org/W2091201897","https://openalex.org/W1538162954","https://openalex.org/W2151489625","https://openalex.org/W2325571063","https://openalex.org/W3107548981"],"abstract_inverted_index":{"The":[0,45,152,207,225,284,297],"paper":[1],"is":[2,80,88,98,292,301,315],"devoted":[3],"to":[4,305],"the":[5,24,30,35,41,51,69,111,114,118,127,160,171,175,189,196,204,210,216,229,238,242,253,260,269,275,287,306,311,318,332,340],"problem":[6,47,58,71,298,334],"of":[7,9,64,113,162,203,209,212,231,241,262,271,286,289,325,327,335,342,344,346],"propagation":[8],"elastic":[10,25,213,232,263,272,290],"waves":[11,136,214,233,264,273,291],"in":[12,49,143,183,195,219,234,274,294,303,310,317],"composites":[13,121,249],"with":[14,29,278],"initial":[15,19,84,102,115,123,205,217,226,254,266],"stresses.":[16,103,116,206],"We":[17,27,165,320],"suppose":[18],"stresses":[20,85,124,218],"are":[21,125,141,180],"well":[22],"within":[23],"regime.":[26],"deal":[28],"long-wave":[31],"case":[32],"and":[33,147,177,221],"use":[34],"asymptotic":[36,43,328],"homogenization":[37,329,343],"technique":[38],"based":[39],"on":[40,59,135,215],"two-scale":[42],"approach.":[44],"main":[46],"lies":[48],"solving":[50,91],"local":[52,70],"(cell)":[53],"problem,":[54],"i.e.,":[55,339],"boundary":[56],"value":[57,202],"a":[60,65,107],"periodically":[61],"repeating":[62],"fragment":[63],"composite.":[66],"In":[67,76,117],"general,":[68],"cannot":[72],"be":[73,157,193],"solved":[74],"explicitly.":[75],"our":[77],"work,":[78],"it":[79],"obtained":[81,99],"for":[82,90,100,159,170,186,199,331],"any":[83],"formulas,":[86],"which":[87],"convenient":[89],"by":[92],"standard":[93],"codes.":[94],"An":[95],"analytical":[96],"solution":[97],"small":[101,108],"Asymptotic":[104],"expansions":[105],"used":[106,158,182],"parameter":[109],"characterizing":[110],"smallness":[112],"zero":[119],"approximation,":[120],"without":[122],"considered;":[126],"first":[128],"approximation":[129],"takes":[130],"into":[131],"account":[132],"their":[133],"influence":[134],"propagation.":[137],"Two":[138],"particular":[139],"cases":[140,169],"considered":[142],"detail:":[144],"laminated":[145,176,220],"media":[146],"frame":[148,154,248],"(honeycomb":[149],"cell)":[150],"composites.":[151],"analyzed":[153,322],"composite":[155,337],"can":[156,244,256],"modeling":[161,250],"porous":[163,178,251,276],"media.":[164,296],"select":[166],"these":[167,187],"two":[168],"following":[172],"reasons.":[173],"First,":[174],"material":[179],"widely":[181],"practice.":[184],"Second,":[185],"materials,":[188,338],"homogenized":[190],"coefficients":[191],"may":[192],"computed":[194],"explicit":[197],"form":[198],"an":[200,279],"arbitrary":[201],"dependence":[208],"velocity":[211,230,261,270,288],"homogeneous":[222,295],"bodies":[223],"differs.":[224],"tension":[227,255,267],"increases":[228],"both":[235],"cases,":[236],"but":[237],"quantitative":[239],"effect":[240],"increase":[243,257],"vary":[245],"greatly.":[246],"For":[247],"bodies,":[252],"or":[258],"decrease":[259,285],"(the":[265],"decreases":[268],"body":[277],"inverted":[280],"honeycomb":[281],"periodicity":[282],"cell).":[283],"impossible":[293],"under":[299],"consideration":[300],"related,":[302],"particular,":[304],"core":[307],"sample":[308],"analysis":[309],"geophysics.":[312],"This":[313],"question":[314],"discussed":[316],"paper.":[319],"also":[321],"some":[323],"features":[324],"applications":[326],"procedure":[330],"dynamical":[333],"stressed":[336],"nonadditivity":[341],"sum":[345],"operators.":[347]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2023-01-17T00:00:00"}
