{"id":"https://openalex.org/W3013111500","doi":"https://doi.org/10.3390/sym12030488","title":"A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method","display_name":"A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method","publication_year":2020,"publication_date":"2020-03-24","ids":{"openalex":"https://openalex.org/W3013111500","doi":"https://doi.org/10.3390/sym12030488","mag":"3013111500"},"language":"en","primary_location":{"id":"doi:10.3390/sym12030488","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12030488","pdf_url":"https://www.mdpi.com/2073-8994/12/3/488/pdf?version=1585051800","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/12/3/488/pdf?version=1585051800","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012641009","display_name":"Tareq Saeed","orcid":"https://orcid.org/0000-0002-0170-5286"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Tareq Saeed","raw_affiliation_strings":["Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 21589, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045553984","display_name":"Ibrahim A. Abbas","orcid":null},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]},{"id":"https://openalex.org/I97455420","display_name":"Sohag University","ror":"https://ror.org/02wgx3e98","country_code":"EG","type":"education","lineage":["https://openalex.org/I97455420"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"Ibrahim Abbas","raw_affiliation_strings":["Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt","Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 21589, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-9595-439X","affiliations":[{"raw_affiliation_string":"Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt","institution_ids":["https://openalex.org/I97455420"]},{"raw_affiliation_string":"Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015681053","display_name":"Mar\u00edn Mar\u00edn","orcid":"https://orcid.org/0000-0003-1552-3763"},"institutions":[{"id":"https://openalex.org/I3123573182","display_name":"Transylvania University of Bra\u0219ov","ror":"https://ror.org/01cg9ws23","country_code":"RO","type":"education","lineage":["https://openalex.org/I3123573182"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Marin Marin","raw_affiliation_strings":["Department of Mathematics and Computer Science, Transilvania University of Brasov, Brasov 500093, Romania"],"raw_orcid":"https://orcid.org/0000-0003-1552-3763","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Transilvania University of Brasov, Brasov 500093, Romania","institution_ids":["https://openalex.org/I3123573182"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045553984"],"corresponding_institution_ids":["https://openalex.org/I185163786","https://openalex.org/I97455420"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":14.6868,"has_fulltext":false,"cited_by_count":112,"citation_normalized_percentile":{"value":0.99781914,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"12","issue":"3","first_page":"488","last_page":"488"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","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":0.9984999895095825,"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/T13261","display_name":"Elasticity and Wave Propagation","score":0.994700014591217,"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":0.9322419166564941},{"id":"https://openalex.org/keywords/thermoelastic-damping","display_name":"Thermoelastic damping","score":0.8566865921020508},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7868796586990356},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6022224426269531},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5541424751281738},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.5501745343208313},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.5462552905082703},{"id":"https://openalex.org/keywords/extended-finite-element-method","display_name":"Extended finite element method","score":0.4960256516933441},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.4895973801612854},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4844636917114258},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.4314955174922943},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.40424489974975586},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3678610920906067},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28391730785369873},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25565987825393677},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.2069757878780365},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.1256524920463562}],"concepts":[{"id":"https://openalex.org/C181965411","wikidata":"https://www.wikidata.org/wiki/Q2314330","display_name":"Poromechanics","level":4,"score":0.9322419166564941},{"id":"https://openalex.org/C92458943","wikidata":"https://www.wikidata.org/wiki/Q7783171","display_name":"Thermoelastic damping","level":3,"score":0.8566865921020508},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7868796586990356},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6022224426269531},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5541424751281738},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.5501745343208313},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.5462552905082703},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.4960256516933441},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.4895973801612854},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4844636917114258},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.4314955174922943},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.40424489974975586},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3678610920906067},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28391730785369873},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25565987825393677},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2069757878780365},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.1256524920463562},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym12030488","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12030488","pdf_url":"https://www.mdpi.com/2073-8994/12/3/488/pdf?version=1585051800","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:690c87c336bb43759aa606cd730872c0","is_oa":true,"landing_page_url":"https://doaj.org/article/690c87c336bb43759aa606cd730872c0","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":"Symmetry, Vol 12, Iss 3, p 488 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/12/3/488/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym12030488","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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym12030488","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12030488","pdf_url":"https://www.mdpi.com/2073-8994/12/3/488/pdf?version=1585051800","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4671840943","display_name":null,"funder_award_id":"KEP-67-130-38","funder_id":"https://openalex.org/F4320322322","funder_display_name":"King Abdulaziz University"}],"funders":[{"id":"https://openalex.org/F4320322322","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3013111500.pdf","grobid_xml":"https://content.openalex.org/works/W3013111500.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1520665827","https://openalex.org/W1963548782","https://openalex.org/W1973038067","https://openalex.org/W1974799097","https://openalex.org/W1976809667","https://openalex.org/W2000761434","https://openalex.org/W2004775033","https://openalex.org/W2010551377","https://openalex.org/W2013957132","https://openalex.org/W2020258752","https://openalex.org/W2021022599","https://openalex.org/W2066479857","https://openalex.org/W2081340117","https://openalex.org/W2090084036","https://openalex.org/W2096745369","https://openalex.org/W2144122905","https://openalex.org/W2312787122","https://openalex.org/W2324422198","https://openalex.org/W2325102170","https://openalex.org/W2332923614","https://openalex.org/W2334155601","https://openalex.org/W2336400466","https://openalex.org/W2345394035","https://openalex.org/W2522907458","https://openalex.org/W2621869351","https://openalex.org/W2674904140","https://openalex.org/W2732289612","https://openalex.org/W2740775467","https://openalex.org/W2750997164","https://openalex.org/W2913921553","https://openalex.org/W2923355834","https://openalex.org/W2956587399","https://openalex.org/W2967708175","https://openalex.org/W2970362094","https://openalex.org/W2976802581","https://openalex.org/W4230822328","https://openalex.org/W4245845178"],"related_works":["https://openalex.org/W1567939749","https://openalex.org/W1977906733","https://openalex.org/W2010821947","https://openalex.org/W1573186872","https://openalex.org/W2071722255","https://openalex.org/W2021654023","https://openalex.org/W2165887158","https://openalex.org/W2352023866","https://openalex.org/W4234008889","https://openalex.org/W4232326348"],"abstract_inverted_index":{"The":[0,28,70],"purpose":[1],"of":[2,14,72],"this":[3],"study":[4],"is":[5],"to":[6,10,44,56],"provide":[7],"a":[8,19,79],"method":[9,52],"investigate":[11],"the":[12,24,33,45,49,92,95],"effects":[13,71],"thermal":[15,40,73],"relaxation":[16,41,74],"times":[17,75],"in":[18,78],"poroelastic":[20],"material":[21],"by":[22],"using":[23],"finite":[25,50],"element":[26,51],"method.":[27],"formulations":[29],"are":[30,63,82,97],"applied":[31],"under":[32],"Green":[34],"and":[35,67,76,89,94],"Lindsay":[36],"model,":[37],"with":[38],"four":[39],"times.":[42],"Due":[43],"complex":[46],"governing":[47],"equation,":[48],"has":[53],"been":[54],"used":[55],"solve":[57],"these":[58],"problems.":[59],"All":[60],"physical":[61],"quantities":[62],"presented":[64,98],"as":[65],"symmetric":[66],"asymmetric":[68],"tensors.":[69],"porosity":[77],"poro-thermoelastic":[80],"medium":[81],"studied.":[83],"Numerical":[84],"computations":[85],"for":[86,91],"temperatures,":[87],"displacements":[88],"stresses":[90],"liquid":[93],"solid":[96],"graphically.":[99]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":22},{"year":2021,"cited_by_count":59},{"year":2020,"cited_by_count":10}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
