{"id":"https://openalex.org/W2153288956","doi":"https://doi.org/10.1111/j.1365-246x.1997.tb04492.x","title":"A new class of stratified viscoelastic models by analytical techniques","display_name":"A new class of stratified viscoelastic models by analytical techniques","publication_year":1997,"publication_date":"1997-06-01","ids":{"openalex":"https://openalex.org/W2153288956","doi":"https://doi.org/10.1111/j.1365-246x.1997.tb04492.x","mag":"2153288956"},"language":"en","primary_location":{"id":"doi:10.1111/j.1365-246x.1997.tb04492.x","doi":"https://doi.org/10.1111/j.1365-246x.1997.tb04492.x","is_oa":false,"landing_page_url":"https://doi.org/10.1111/j.1365-246x.1997.tb04492.x","pdf_url":null,"source":{"id":"https://openalex.org/S108821158","display_name":"Geophysical Journal International","issn_l":"0956-540X","issn":["0956-540X","1365-246X"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-a","jufo-1","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geophysical Journal International","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"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/A5028136797","display_name":"Bert L. A. Vermeersen","orcid":"https://orcid.org/0000-0002-6329-5972","observed_orcids":["https://orcid.org/0000-0002-6329-5972"]},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"L. L. A. Vermeersen","raw_affiliation_strings":["Dipartimento di Scienze della Terra, Sezione Geofisica, Universit\u00e0 degli Studi di Milano, Via L. Cicognara 7, 20129 Milano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze della Terra, Sezione Geofisica, Universit\u00e0 degli Studi di Milano, Via L. Cicognara 7, 20129 Milano, Italy","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075937421","display_name":"R. Sabadini","orcid":"https://orcid.org/0000-0003-4917-6712","observed_orcids":["https://orcid.org/0000-0003-4917-6712"]},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"R. Sabadini","raw_affiliation_strings":["Dipartimento di Scienze della Terra, Sezione Geofisica, Universit\u00e0 degli Studi di Milano, Via L. Cicognara 7, 20129 Milano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze della Terra, Sezione Geofisica, Universit\u00e0 degli Studi di Milano, Via L. Cicognara 7, 20129 Milano, Italy","institution_ids":["https://openalex.org/I189158943"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I189158943"],"apc_list":{"value":2590,"currency":"GBP","value_usd":3416},"apc_paid":null,"fwci":5.2686,"has_fulltext":false,"cited_by_count":118,"citation_normalized_percentile":{"value":0.9631408,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"129","issue":"3","first_page":"531","last_page":"570"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.5273000001907349,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.5273000001907349,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11757","display_name":"Seismic Waves and Analysis","score":0.23430000245571136,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10413","display_name":"High-pressure geophysics and materials","score":0.13289999961853027,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/maxwell-rheology","display_name":"Maxwell rheology","score":0.7639999985694885},{"id":"https://openalex.org/keywords/tidal-forcing","display_name":"tidal forcing","score":0.9150000214576721},{"id":"https://openalex.org/keywords/continuum-limit","display_name":"continuum limit","score":0.6660000085830688},{"id":"https://openalex.org/keywords/volume-averaging","display_name":"volume averaging","score":0.5419999957084656},{"id":"https://openalex.org/keywords/normal-mode-theory","display_name":"normal mode theory","score":0.6650000214576721},{"id":"https://openalex.org/keywords/spherical-harmonic-degree","display_name":"spherical harmonic degree","score":0.6480000019073486},{"id":"https://openalex.org/keywords/elastic-lithosphere","display_name":"elastic lithosphere","score":0.7149999737739563},{"id":"https://openalex.org/keywords/core-mantle-boundary","display_name":"core-mantle boundary","score":0.7839999794960022},{"id":"https://openalex.org/keywords/density-contrast","display_name":"density contrast","score":0.4410000145435333}],"concepts":[{"id":"https://openalex.org/C186541917","wikidata":"https://www.wikidata.org/wiki/Q910483","display_name":"Viscoelasticity","level":2,"score":0.6997543573379517},{"id":"https://openalex.org/C200990466","wikidata":"https://www.wikidata.org/wiki/Q271707","display_name":"Rheology","level":2,"score":0.6700031757354736},{"id":"https://openalex.org/C192943249","wikidata":"https://www.wikidata.org/wiki/Q1893382","display_name":"Stratification (seeds)","level":5,"score":0.6554643511772156},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.558343231678009},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.49163419008255005},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.48707106709480286},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.44330033659935},{"id":"https://openalex.org/C32758168","wikidata":"https://www.wikidata.org/wiki/Q900488","display_name":"Normal mode","level":3,"score":0.440822571516037},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.43984299898147583},{"id":"https://openalex.org/C67236022","wikidata":"https://www.wikidata.org/wiki/Q4364434","display_name":"Mantle (geology)","level":2,"score":0.4312150478363037},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37154674530029297},{"id":"https://openalex.org/C8058405","wikidata":"https://www.wikidata.org/wiki/Q46255","display_name":"Geophysics","level":1,"score":0.3560267686843872},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33972710371017456},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3361976146697998},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.12442243099212646},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C3527866","wikidata":"https://www.wikidata.org/wiki/Q162267","display_name":"Dormancy","level":3,"score":0.0},{"id":"https://openalex.org/C88548481","wikidata":"https://www.wikidata.org/wiki/Q2397491","display_name":"Seed dormancy","level":4,"score":0.0},{"id":"https://openalex.org/C100701293","wikidata":"https://www.wikidata.org/wiki/Q193838","display_name":"Germination","level":2,"score":0.0},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1111/j.1365-246x.1997.tb04492.x","doi":"https://doi.org/10.1111/j.1365-246x.1997.tb04492.x","is_oa":false,"landing_page_url":"https://doi.org/10.1111/j.1365-246x.1997.tb04492.x","pdf_url":null,"source":{"id":"https://openalex.org/S108821158","display_name":"Geophysical Journal International","issn_l":"0956-540X","issn":["0956-540X","1365-246X"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-a","jufo-1","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geophysical Journal International","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1624331985","https://openalex.org/W1993271091","https://openalex.org/W2001199051","https://openalex.org/W2032939543","https://openalex.org/W2037809193","https://openalex.org/W2045456018","https://openalex.org/W2062221814","https://openalex.org/W2070379257","https://openalex.org/W2073291733","https://openalex.org/W2091632224","https://openalex.org/W2092924956","https://openalex.org/W2105078286","https://openalex.org/W2108653421","https://openalex.org/W2121338111","https://openalex.org/W2121551303","https://openalex.org/W2124884971","https://openalex.org/W2128951327","https://openalex.org/W2145264768","https://openalex.org/W2148069033","https://openalex.org/W2158810092","https://openalex.org/W4213029493","https://openalex.org/W4230916503"],"related_works":["https://openalex.org/W274795262","https://openalex.org/W2070379257","https://openalex.org/W2073291733","https://openalex.org/W7100333199","https://openalex.org/W2036820661","https://openalex.org/W2095317490","https://openalex.org/W7099927695","https://openalex.org/W1963563661","https://openalex.org/W7099549365","https://openalex.org/W2010023265"],"abstract_inverted_index":{"Multilayer,":[0],"spherically":[1],"stratified,":[2],"self-gravitating":[3],"relaxation":[4,35],"models":[5,49,107,125,180,211,215,220,257],"with":[6,18,42,221,258],"a":[7,38,222,227],"large":[8],"number":[9],"of":[10,33,37,80,91,122,133,148,155,163,166,251,268],"layers":[11,55,94,260],"(more":[12],"than":[13],"100)":[14],"can":[15],"be":[16,97],"dealt":[17],"analytically.":[19],"Relaxation":[20],"processes":[21],"are":[22,126,152,216],"studied":[23],"for":[24,64,99,241],"both":[25,182,232],"Heaviside":[26],"surface":[27,202],"loads":[28],"and":[29,63,160,190,203,212,234,240],"tidal":[30],"forcings.":[31],"Simulations":[32],"the":[34,81,85,92,119,123,129,134,145,161,172,179,200,204,249],"process":[36],"realistic":[39],"earth":[40],"model":[41],"an":[43,74],"incompressible":[44],"Maxwell":[45],"rheology":[46],"show":[47,176],"that":[48,116,141,178],"containing":[50],"about":[51],"30":[52],"to":[53,69,96,128],"40":[54],"have":[56],"reached":[57],"continuum":[58],"limits":[59],"on":[60,237],"all":[61,65,238,242],"timescales":[62,239],"harmonic":[66,101,244],"degrees":[67,102],"up":[68],"at":[70,199],"least":[71],"150":[72],"whenever":[73],"elastic":[75],"lithosphere":[76],"is":[77,114,169,231],"present,":[78],"irrespective":[79],"viscosity":[82],"profile":[83],"in":[84,103,118,144,264],"mantle.":[86],"In":[87],"particular,":[88],"fine-graded":[89],"stratification":[90],"shallow":[93],"proves":[95],"important":[98],"high":[100],"these":[104],"models.":[105],"The":[106,207,246],"produce":[108,181],"correct":[109],"long-time":[110],"(fluid)":[111],"limits.":[112],"It":[113],"shown":[115],"differences":[117,208],"transient":[120],"behaviour":[121,184,192],"various":[124],"due":[127],"applied":[130],"volume-averaging":[131,223],"procedure":[132,224,247],"rheological":[135,188],"parameters.":[136],"Our":[137],"earlier":[138],"proposed":[139],"hypothesis":[140],"purported":[142],"shortcomings":[143],"fundamental":[146],"physics":[147],"(discrete)":[149],"normal-mode":[150],"theory":[151],"artificial":[153],"consequences":[154],"numerical":[156],"inaccuracies,":[157],"theoretical":[158],"misinterpretations":[159],"use":[162],"incomplete":[164],"sets":[165],"normal":[167,228],"modes":[168],"reinforced":[170],"by":[171],"results":[173],"presented.":[174],"We":[175],"explicitly":[177],"continuous":[183,187],"resulting":[185,193],"from":[186,194],"stratifications":[189],"discrete":[191],"sharp":[195],"density":[196],"contrasts,":[197],"as":[198],"outer":[201],"core-mantle":[205],"boundary.":[206],"between":[209],"volume-averaged":[210],"fixed-boundary":[213],"contrast":[214],"outlined.":[217],"Reducing":[218],"many-layer":[219],"before":[225],"employing":[226],"mode":[229],"analysis":[230],"economical":[233],"highly":[235],"accurate":[236],"spherical":[243],"degrees.":[245],"minimizes":[248],"chances":[250],"missing":[252],"contributing":[253],"modes,":[254],"while":[255],"using":[256],"more":[259],"will":[261],"not":[262],"result":[263],"any":[265],"substantial":[266],"increase":[267],"accuracy.":[269]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-08T09:06:37.294493","created_date":"2016-06-24T00:00:00"}
