{"id":"https://openalex.org/W3151005432","doi":"https://doi.org/10.1137/20m1346043","title":"Mathematical Proof of the Mandel--Cryer Effect in Poroelasticity","display_name":"Mathematical Proof of the Mandel--Cryer Effect in Poroelasticity","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3151005432","doi":"https://doi.org/10.1137/20m1346043","mag":"3151005432"},"language":"en","primary_location":{"id":"doi:10.1137/20m1346043","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1346043","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling & Simulation","raw_type":"journal-article"},"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/A5003203502","display_name":"C.J. van Duijn","orcid":"https://orcid.org/0000-0002-1775-519X"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Cornelis J. van Duijn","raw_affiliation_strings":["TU/e - Eindhoven University of Technology [Eindhoven] (Den Dolech 2 5612 AZ Eindhoven - Netherlands)"],"affiliations":[{"raw_affiliation_string":"TU/e - Eindhoven University of Technology [Eindhoven] (Den Dolech 2 5612 AZ Eindhoven - Netherlands)","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077009185","display_name":"Andro Mikeli\u0107","orcid":"https://orcid.org/0000-0002-4752-8705"},"institutions":[{"id":"https://openalex.org/I4210104796","display_name":"Institut Camille Jordan","ror":"https://ror.org/01ekw7f87","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210104796","https://openalex.org/I4405259976","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Andro Mikelic","raw_affiliation_strings":["MMCS - Mod\u00e9lisation math\u00e9matique, calcul scientifique (Institut Camille Jordan\r\nVilleurbane - France)"],"affiliations":[{"raw_affiliation_string":"MMCS - Mod\u00e9lisation math\u00e9matique, calcul scientifique (Institut Camille Jordan\r\nVilleurbane - France)","institution_ids":["https://openalex.org/I4210104796"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003203502"],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":null,"apc_paid":null,"fwci":0.452,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.66412107,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"19","issue":"1","first_page":"550","last_page":"567"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9959999918937683,"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":0.9947999715805054,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/poromechanics","display_name":"Poromechanics","score":0.6601877808570862},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4131418466567993},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3871433138847351},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.35420945286750793},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3337247967720032},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.3237963318824768},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.18639874458312988},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.18114012479782104},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.14272508025169373}],"concepts":[{"id":"https://openalex.org/C181965411","wikidata":"https://www.wikidata.org/wiki/Q2314330","display_name":"Poromechanics","level":4,"score":0.6601877808570862},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4131418466567993},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3871433138847351},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35420945286750793},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3337247967720032},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3237963318824768},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.18639874458312988},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.18114012479782104},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.14272508025169373},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/20m1346043","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1346043","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling & Simulation","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04135084v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04135084","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2021, 19 (1), pp.550-567. ⟨10.1137/20M1346043⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Clean water and sanitation","score":0.6399999856948853,"id":"https://metadata.un.org/sdg/6"}],"awards":[{"id":"https://openalex.org/G2454515493","display_name":null,"funder_award_id":"ANR- 10-LABX-0070","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2726473892","display_name":null,"funder_award_id":"ANR-11-IDEX-0007","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2797261717","display_name":null,"funder_award_id":"ANR-19-CU05-032","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1978648662","https://openalex.org/W1984721016","https://openalex.org/W2037372924","https://openalex.org/W2055072688","https://openalex.org/W2071981207","https://openalex.org/W2075054418","https://openalex.org/W2076330525","https://openalex.org/W4254697896"],"related_works":["https://openalex.org/W4230623537","https://openalex.org/W2063488590","https://openalex.org/W2008597485","https://openalex.org/W1979846157","https://openalex.org/W3118977201","https://openalex.org/W1999624973","https://openalex.org/W2034167671","https://openalex.org/W1976759136","https://openalex.org/W2066120742","https://openalex.org/W4286904741"],"abstract_inverted_index":{"We":[0,75,139],"consider":[1],"Mandel's":[2,67],"problem":[3,68],"from":[4],"poroelasticity,":[5],"which":[6],"describes":[7],"the":[8,30,34,37,50,55,71,83,87,101,109,121,125,131,136,141,161],"behavior":[9],"of":[10,36,57,97,124,152],"a":[11,62,146,149],"water":[12],"saturated":[13],"porous":[14],"sample":[15,38],"being":[16],"sandwiched":[17],"between":[18],"two":[19],"rigid":[20],"plates.":[21],"It":[22,53],"was":[23],"observed,":[24],"both":[25],"computationally":[26],"and":[27,43,69,86],"experimentally,":[28],"that":[29,148],"pore":[31],"pressure":[32,137,143],"in":[33,95,144],"center":[35],"increases":[39],"for":[40,66,70,82],"some":[41],"time":[42,157],"decreases":[44],"later.":[45],"This":[46],"is":[47,54,120,164],"known":[48],"as":[49],"Mandel--Cryer":[51,73,126,162],"effect.":[52,74,127],"purpose":[56],"this":[58,160],"paper":[59],"to":[60,114,135,155],"provide":[61],"rigorous":[63],"mathematical":[64,122],"setting":[65],"corresponding":[72],"first":[76],"formulate":[77],"nonstandard":[78],"linear":[79],"parabolic":[80,104],"problems":[81,91],"volume":[84],"strain":[85],"fluid":[88],"pressure.":[89],"These":[90],"admit":[92],"\u201cexplicit\u201d":[93],"solutions":[94],"terms":[96],"Fourier":[98,110],"series.":[99],"Introducing":[100],"abstract":[102],"variational":[103],"formulation":[105],"with":[106],"appropriate":[107],"spaces,":[108],"series":[111],"are":[112],"shown":[113],"converge":[115],"strongly.":[116],"The":[117],"main":[118],"result":[119,153],"proof":[123],"Here":[128],"we":[129],"use":[130],"Laplace":[132],"transform":[133],"applied":[134],"equation.":[138],"write":[140],"transformed":[142],"such":[145],"way,":[147],"Tauberian":[150],"type":[151],"applies":[154],"its":[156],"derivative.":[158],"From":[159],"effect":[163],"immediate.":[165]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-05T09:29:38.588285","created_date":"2025-10-10T00:00:00"}