{"id":"https://openalex.org/W4388692281","doi":"https://doi.org/10.1155/2023/8103614","title":"Horizontal Vibration of Pile in Transversely Isotropic Saturated Soil Based on Saturated Porous Medium Theory","display_name":"Horizontal Vibration of Pile in Transversely Isotropic Saturated Soil Based on Saturated Porous Medium Theory","publication_year":2023,"publication_date":"2023-11-15","ids":{"openalex":"https://openalex.org/W4388692281","doi":"https://doi.org/10.1155/2023/8103614"},"language":"en","primary_location":{"id":"doi:10.1155/2023/8103614","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/8103614","pdf_url":"https://downloads.hindawi.com/journals/jam/2023/8103614.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"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":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2023/8103614.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083226467","display_name":"Linchao Liu","orcid":"https://orcid.org/0000-0003-1492-2703"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Linchao Liu","raw_affiliation_strings":["College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, Henan 464000, China"],"raw_orcid":"https://orcid.org/0000-0003-1492-2703","affiliations":[{"raw_affiliation_string":"College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, Henan 464000, China","institution_ids":["https://openalex.org/I130750295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001145721","display_name":"Yan Qi-fang","orcid":"https://orcid.org/0000-0002-5864-9297"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qifang Yan","raw_affiliation_strings":["College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, Henan 464000, China"],"raw_orcid":"https://orcid.org/0000-0002-5864-9297","affiliations":[{"raw_affiliation_string":"College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, Henan 464000, China","institution_ids":["https://openalex.org/I130750295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083226467"],"corresponding_institution_ids":["https://openalex.org/I130750295"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.4016,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.58697075,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2023","issue":null,"first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12233","display_name":"Geotechnical Engineering and Underground Structures","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T12233","display_name":"Geotechnical Engineering and Underground Structures","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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":0.998199999332428,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/transverse-isotropy","display_name":"Transverse isotropy","score":0.9811055660247803},{"id":"https://openalex.org/keywords/pile","display_name":"Pile","score":0.6414070129394531},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.5398551225662231},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.5317600965499878},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.4966486096382141},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.4147634208202362},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3763672411441803},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.27982598543167114},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2628714442253113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2428273856639862},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.16601970791816711}],"concepts":[{"id":"https://openalex.org/C101842124","wikidata":"https://www.wikidata.org/wiki/Q2449817","display_name":"Transverse isotropy","level":3,"score":0.9811055660247803},{"id":"https://openalex.org/C119560385","wikidata":"https://www.wikidata.org/wiki/Q7193850","display_name":"Pile","level":2,"score":0.6414070129394531},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.5398551225662231},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.5317600965499878},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.4966486096382141},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.4147634208202362},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3763672411441803},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.27982598543167114},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2628714442253113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2428273856639862},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.16601970791816711}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2023/8103614","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/8103614","pdf_url":"https://downloads.hindawi.com/journals/jam/2023/8103614.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"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":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jnljam:8103614","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/jam/2023/8103614.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:687a9baf265748828a9d804ceb7332cb","is_oa":true,"landing_page_url":"https://doaj.org/article/687a9baf265748828a9d804ceb7332cb","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2023 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2023/8103614","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/8103614","pdf_url":"https://downloads.hindawi.com/journals/jam/2023/8103614.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"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":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.6600000262260437}],"awards":[{"id":"https://openalex.org/G2848286177","display_name":null,"funder_award_id":"U1504505","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4311727558","display_name":null,"funder_award_id":"U1504505","funder_id":"https://openalex.org/F4320335955","funder_display_name":"Key Scientific Research Project of Colleges and Universities in Henan Province"},{"id":"https://openalex.org/G5023784627","display_name":null,"funder_award_id":"23B560001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7284209387","display_name":null,"funder_award_id":"23B560001","funder_id":"https://openalex.org/F4320335955","funder_display_name":"Key Scientific Research Project of Colleges and Universities in Henan Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335955","display_name":"Key Scientific Research Project of Colleges and Universities in Henan Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4388692281.pdf"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W584925449","https://openalex.org/W634194942","https://openalex.org/W1972518372","https://openalex.org/W1977540916","https://openalex.org/W2010358443","https://openalex.org/W2021835127","https://openalex.org/W2070896594","https://openalex.org/W2080993428","https://openalex.org/W2116157752","https://openalex.org/W2123241000","https://openalex.org/W2129555114","https://openalex.org/W2145190388","https://openalex.org/W2265540068","https://openalex.org/W2511029359","https://openalex.org/W2585884375","https://openalex.org/W2902361792","https://openalex.org/W2976505984","https://openalex.org/W3046986609","https://openalex.org/W3047304049","https://openalex.org/W3082511741","https://openalex.org/W3094122261","https://openalex.org/W3117175201","https://openalex.org/W4200101325","https://openalex.org/W4200624460","https://openalex.org/W4307401129","https://openalex.org/W4318685231","https://openalex.org/W4327716280"],"related_works":["https://openalex.org/W1928529161","https://openalex.org/W2593598894","https://openalex.org/W2097618123","https://openalex.org/W2486669035","https://openalex.org/W2015860364","https://openalex.org/W1965183937","https://openalex.org/W2946195103","https://openalex.org/W2002964458","https://openalex.org/W4293660770","https://openalex.org/W1995301894"],"abstract_inverted_index":{"In":[0],"order":[1],"to":[2,314,316],"consider":[3],"the":[4,12,15,45,52,66,80,86,90,96,125,141,145,151,156,186,209,271,284,289,302,307],"influence":[5,172,285,300],"of":[6,30,48,57,72,85,95,100,110,129,144,160,173,190,275,286,292,301],"liquid":[7],"phase":[8],"and":[9,25,44,83,89,92,140,155,182,242,283],"soil":[10,13,61,75,98,104,114,137,168,174,198],"anisotropy,":[11],"around":[14],"pile":[16,118,132,146,163,193,276,293],"is":[17,35,62,169,312],"considered":[18],"a":[19,26,116,130,161,191,267,317],"transversely":[20,31,49,58,73,101,111,134,165,195,279],"isotropic":[21,32,50,59,74,102,112,135,166,196,280],"saturated":[22,33,40,60,103,113,136,167,197,281],"porous":[23,41],"medium,":[24],"horizontal":[27,53,70,91,108,126,142,157,187,272,290,308],"dynamic":[28,54,127,158,188,273,309],"model":[29],"soil-pile":[34],"established.":[36],"Based":[37],"on":[38,115,185,270,288,306],"Beor\u2019s":[39],"medium":[42],"theory":[43],"constitutive":[46],"equation":[47,56,128],"media,":[51],"control":[55],"obtained":[63],"without":[64],"considering":[65],"vertical":[67],"displacement.":[68],"The":[69,107,171,204,299],"vibration":[71,143,291],"layers":[76],"was":[77,119,138,148,199],"solved":[78,149],"using":[79,150],"potential":[81],"function":[82],"separation":[84],"variable":[87],"method,":[88,154],"radial":[93],"displacements":[94],"solid":[97],"skeleton":[99],"were":[105],"obtained.":[106,121,170],"force":[109],"single":[117,131,162,192],"also":[120],"On":[122],"this":[123],"basis,":[124],"in":[133,164,194,278],"established,":[139],"foundation":[147,277,294],"initial":[152],"parameter":[153],"impedance":[159,189,274,310],"anisotropy":[175,210,287],"parameter,":[176],"liquid-solid":[177,303],"coupling":[178,304],"coefficient,":[179],"diameter-length":[180,225],"ratio,":[181],"modulus":[183,243],"ratio":[184,226,244],"analyzed":[200],"through":[201],"numerical":[202],"examples.":[203],"analysis":[205],"results":[206],"show":[207],"that":[208],"parameters":[211],"<a:math":[212],"xmlns:a=\"http://www.w3.org/1998/Math/MathML\"":[213],"id=\"M1\">":[214],"<a:msub>":[215],"<a:mrow>":[216,219],"<a:mi>\u03b4</a:mi>":[217],"</a:mrow>":[218,221],"<a:mn>1</a:mn>":[220],"</a:msub>":[222],"</a:math>":[223],",":[224,241],"<c:math":[227],"xmlns:c=\"http://www.w3.org/1998/Math/MathML\"":[228],"id=\"M2\">":[229],"<c:msub>":[230],"<c:mrow>":[231,234],"<c:mi>r</c:mi>":[232],"</c:mrow>":[233,236],"<c:mn>0</c:mn>":[235],"</c:msub>":[237],"<c:mo>/</c:mo>":[238],"<c:mi>H</c:mi>":[239],"</c:math>":[240],"<e:math":[245],"xmlns:e=\"http://www.w3.org/1998/Math/MathML\"":[246],"id=\"M3\">":[247],"<e:msub>":[248,257],"<e:mrow>":[249,252,258,261],"<e:mi>E</e:mi>":[250],"</e:mrow>":[251,254,260,263],"<e:mi>p</e:mi>":[253],"</e:msub>":[255,264],"<e:mo>/</e:mo>":[256],"<e:mi>C</e:mi>":[259],"<e:mn>66</e:mn>":[262],"</e:math>":[265],"have":[266],"significant":[268],"impact":[269],"soil,":[282],"should":[295],"not":[296],"be":[297],"ignored.":[298],"coefficient":[305],"factor":[311],"related":[313],"frequency":[315],"certain":[318],"extent.":[319]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
