{"id":"https://openalex.org/W2090994919","doi":"https://doi.org/10.1155/2012/731591","title":"Signorini Cylindrical Waves and Shannon Wavelets","display_name":"Signorini Cylindrical Waves and Shannon Wavelets","publication_year":2012,"publication_date":"2012-06-26","ids":{"openalex":"https://openalex.org/W2090994919","doi":"https://doi.org/10.1155/2012/731591","mag":"2090994919"},"language":"en","primary_location":{"id":"doi:10.1155/2012/731591","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/731591","pdf_url":"https://downloads.hindawi.com/archive/2012/731591.pdf","source":{"id":"https://openalex.org/S120697665","display_name":"Advances in Numerical Analysis","issn_l":"1687-9562","issn":["1687-9562","1687-9570"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/archive/2012/731591.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022405104","display_name":"Carlo Cattani","orcid":"https://orcid.org/0000-0002-7504-0424"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Carlo Cattani","raw_affiliation_strings":["Department of Mathematics, University of Salerno, 84084 Fisciano (SA), Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Salerno, 84084 Fisciano (SA), Italy","institution_ids":["https://openalex.org/I131729948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022405104"],"corresponding_institution_ids":["https://openalex.org/I131729948"],"apc_list":null,"apc_paid":null,"fwci":1.0101,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.78595233,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2012","issue":null,"first_page":"1","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13261","display_name":"Elasticity and Wave Propagation","score":0.9998000264167786,"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/T13261","display_name":"Elasticity and Wave Propagation","score":0.9998000264167786,"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/T10514","display_name":"Numerical methods in engineering","score":0.993399977684021,"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/T14076","display_name":"Material Properties and Failure Mechanisms","score":0.9922000169754028,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.6827428936958313},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6635582447052002},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6571958065032959},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5677824020385742},{"id":"https://openalex.org/keywords/cylindrical-coordinate-system","display_name":"Cylindrical coordinate system","score":0.5197962522506714},{"id":"https://openalex.org/keywords/hyperelastic-material","display_name":"Hyperelastic material","score":0.4499017000198364},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.41318392753601074},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24051928520202637}],"concepts":[{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6827428936958313},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6635582447052002},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6571958065032959},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5677824020385742},{"id":"https://openalex.org/C201076478","wikidata":"https://www.wikidata.org/wiki/Q211851","display_name":"Cylindrical coordinate system","level":2,"score":0.5197962522506714},{"id":"https://openalex.org/C147370603","wikidata":"https://www.wikidata.org/wiki/Q3801506","display_name":"Hyperelastic material","level":3,"score":0.4499017000198364},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.41318392753601074},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24051928520202637},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/731591","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/731591","pdf_url":"https://downloads.hindawi.com/archive/2012/731591.pdf","source":{"id":"https://openalex.org/S120697665","display_name":"Advances in Numerical Analysis","issn_l":"1687-9562","issn":["1687-9562","1687-9570"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:zenodo.org:48106","is_oa":true,"landing_page_url":"https://www.openaccessrepository.it/record/48106","pdf_url":null,"source":{"id":"https://openalex.org/S4306402478","display_name":"INFM-OAR (INFN Catania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210116497","host_organization_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Catania","host_organization_lineage":["https://openalex.org/I4210116497"],"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":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:zenodo.org:48106","is_oa":true,"landing_page_url":"https://zenodo.org/record/48106","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"","raw_type":null},{"id":"doi:10.5281/zenodo.48106","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.48106","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Software"}],"best_oa_location":{"id":"doi:10.1155/2012/731591","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/731591","pdf_url":"https://downloads.hindawi.com/archive/2012/731591.pdf","source":{"id":"https://openalex.org/S120697665","display_name":"Advances in Numerical Analysis","issn_l":"1687-9562","issn":["1687-9562","1687-9570"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Numerical Analysis","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.9100000262260437,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2090994919.pdf","grobid_xml":"https://content.openalex.org/works/W2090994919.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W226483541","https://openalex.org/W1487455380","https://openalex.org/W1550410809","https://openalex.org/W1587111390","https://openalex.org/W1753763000","https://openalex.org/W1964924740","https://openalex.org/W1969026460","https://openalex.org/W1979410525","https://openalex.org/W1982210317","https://openalex.org/W1995410519","https://openalex.org/W1997282404","https://openalex.org/W1997949455","https://openalex.org/W2005781236","https://openalex.org/W2016873368","https://openalex.org/W2026752606","https://openalex.org/W2031117606","https://openalex.org/W2040573322","https://openalex.org/W2067440814","https://openalex.org/W2081289139","https://openalex.org/W2135594087","https://openalex.org/W2148227586","https://openalex.org/W2157005274","https://openalex.org/W2157590078","https://openalex.org/W2184685520"],"related_works":["https://openalex.org/W4318070857","https://openalex.org/W4289888891","https://openalex.org/W2353996222","https://openalex.org/W2054885914","https://openalex.org/W3032419129","https://openalex.org/W4280618034","https://openalex.org/W2765325264","https://openalex.org/W2625906185","https://openalex.org/W2725797961","https://openalex.org/W2022630076"],"abstract_inverted_index":{"Hyperelastic":[0],"materials":[1],"based":[2],"on":[3,38,44,139],"Signorini\u2019s":[4],"strain":[5],"energy":[6,108],"density":[7,109],"are":[8,30,153],"studied":[9],"by":[10,35,105],"using":[11],"Shannon":[12,84],"wavelets.":[13,72],"Cylindrical":[14,55],"waves":[15],"propagating":[16],"in":[17,32,66],"a":[18,95],"nonlinear":[19,41,52],"elastic":[20,107,123],"material":[21],"from":[22,149,155],"the":[23,28,33,39,45,50,59,113,131,140,150,156],"circular":[24],"cylindrical":[25,99,128],"cavity":[26],"along":[27],"radius":[29],"analyzed":[31],"following":[34],"focusing":[36],"both":[37],"main":[40],"effects":[42],"and":[43,110,145],"method":[46],"of":[47,58,68,71,98,122,158,160],"solution":[48,57],"for":[49],"corresponding":[51],"differential":[53],"equation.":[54],"waves\u2019":[56],"resulting":[60],"equations":[61],"can":[62,80,89],"be":[63,75,81],"easily":[64],"represented":[65],"terms":[67],"this":[69],"family":[70],"It":[73],"will":[74],"shown":[76],"that":[77,87],"Hankel":[78],"functions":[79],"linked":[82],"with":[83],"wavelets,":[85],"so":[86],"wavelets":[88],"have":[90],"some":[91],"physical":[92,144],"meaning":[93],"being":[94],"good":[96],"approximation":[97],"waves.":[100],"The":[101,119,143],"nonlinearity":[102,115],"is":[103,125,133],"introduced":[104],"Signorini":[106],"corresponds":[111],"to":[112,117],"quadratic":[114],"relative":[116],"displacements.":[118],"configuration":[120],"state":[121],"medium":[124],"defined":[126],"through":[127],"coordinates":[129],"but":[130],"deformation":[132],"considered":[134],"as":[135],"functionally":[136],"depending":[137],"only":[138],"radial":[141],"coordinate.":[142],"geometrical":[146],"nonlinearities":[147],"arising":[148],"wave":[151],"propagation":[152],"discussed":[154],"point":[157],"view":[159],"wavelet":[161],"analysis.":[162]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
