{"id":"https://openalex.org/W7225267362","doi":"https://doi.org/10.1371/journal.pone.0357081","title":"Energy driven constitutive modeling of thermally damaged red sandstone under multilevel cyclic loading","display_name":"Energy driven constitutive modeling of thermally damaged red sandstone under multilevel cyclic loading","publication_year":2026,"publication_date":"2026-11-04","ids":{"openalex":"https://openalex.org/W7225267362","doi":"https://doi.org/10.1371/journal.pone.0357081"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pone.0357081","doi":"https://doi.org/10.1371/journal.pone.0357081","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pone.0357081","pdf_url":null,"source":{"id":"https://openalex.org/S202381698","display_name":"PLoS ONE","issn_l":"1932-6203","issn":["1932-6203"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","doyens","erih-plus","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS One","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1371/journal.pone.0357081","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160612195","display_name":"You-Liang Chen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]},{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["CN","DE"],"is_corresponding":false,"raw_author_name":"You-Liang Chen","raw_affiliation_strings":["RWTH Aachen University","University of Shanghai for Science and Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"RWTH Aachen University","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"University of Shanghai for Science and Technology","institution_ids":["https://openalex.org/I148128674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5119660128","display_name":"Qinglong You","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"QingLong You","raw_affiliation_strings":["University of Shanghai for Science and Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Shanghai for Science and Technology","institution_ids":["https://openalex.org/I148128674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138771916","display_name":"Jinbo Xie","orcid":"https://orcid.org/0009-0002-0562-8625","observed_orcids":["https://orcid.org/0009-0002-0562-8625"]},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinbo Xie","raw_affiliation_strings":["University of Shanghai for Science and Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Shanghai for Science and Technology","institution_ids":["https://openalex.org/I148128674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104094920","display_name":"Xi Du","orcid":"https://orcid.org/0000-0002-5187-5566","observed_orcids":["https://orcid.org/0000-0002-5187-5566"]},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xi Du","raw_affiliation_strings":["University of Shanghai for Science and Technology"],"raw_orcid":"https://orcid.org/0000-0002-5187-5566","affiliations":[{"raw_affiliation_string":"University of Shanghai for Science and Technology","institution_ids":["https://openalex.org/I148128674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101512009","display_name":"Bo Lu","orcid":"https://orcid.org/0000-0003-1829-9672","observed_orcids":["https://orcid.org/0000-0003-1829-9672"]},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]},{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"Bo Lu","raw_affiliation_strings":["Northeastern University","University of Cambridge"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northeastern University","institution_ids":["https://openalex.org/I12912129"]},{"raw_affiliation_string":"University of Cambridge","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077223689","display_name":"Pengjiao Jia","orcid":"https://orcid.org/0000-0001-6605-793X","observed_orcids":["https://orcid.org/0000-0001-6605-793X"]},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pengjiao Jia","raw_affiliation_strings":["Soochow University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Soochow University","institution_ids":["https://openalex.org/I3923682"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017200108","display_name":"Tom\u00e1s Manuel Fern\u00e1ndez-Steeger","orcid":"https://orcid.org/0000-0003-1105-6133","observed_orcids":["https://orcid.org/0000-0003-1105-6133"]},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tomas Manuel Fernandez-Steeger","raw_affiliation_strings":["Institute of Applied Geosciences, Technical University of Berlin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Geosciences, Technical University of Berlin","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082775667","display_name":"Rafig Azzam","orcid":"https://orcid.org/0000-0002-4135-9410","observed_orcids":["https://orcid.org/0000-0002-4135-9410"]},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rafig Azzam","raw_affiliation_strings":["RWTH Aachen University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"RWTH Aachen University","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2382,"currency":"USD","value_usd":2382},"apc_paid":{"value":2382,"currency":"USD","value_usd":2382},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.75466651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":"11","first_page":"e0357081","last_page":"e0357081"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10161","display_name":"Rock Mechanics and Modeling","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"}},"topics":[{"id":"https://openalex.org/T10161","display_name":"Rock Mechanics and Modeling","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/T10233","display_name":"Geotechnical Engineering and Soil Mechanics","score":0.0008999999845400453,"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/T13772","display_name":"Geomechanics and Mining Engineering","score":9.999999747378752e-05,"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":[],"concepts":[{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.7195000052452087},{"id":"https://openalex.org/C202973686","wikidata":"https://www.wikidata.org/wiki/Q1937401","display_name":"Constitutive equation","level":3,"score":0.6650000214576721},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.6186000108718872},{"id":"https://openalex.org/C196715460","wikidata":"https://www.wikidata.org/wiki/Q1414356","display_name":"Compaction","level":2,"score":0.5892999768257141},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.5475999712944031},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.508899986743927},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.46239998936653137},{"id":"https://openalex.org/C2993349102","wikidata":"https://www.wikidata.org/wiki/Q13085","display_name":"Red sandstone","level":2,"score":0.44530001282691956},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.4221000075340271},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.3939000070095062},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.33970001339912415},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.3156999945640564},{"id":"https://openalex.org/C79186407","wikidata":"https://www.wikidata.org/wiki/Q472074","display_name":"Plasticity","level":2,"score":0.3025999963283539},{"id":"https://openalex.org/C199201527","wikidata":"https://www.wikidata.org/wiki/Q496309","display_name":"Strain energy","level":3,"score":0.28450000286102295},{"id":"https://openalex.org/C37292000","wikidata":"https://www.wikidata.org/wiki/Q1257918","display_name":"Residual stress","level":2,"score":0.2831999957561493},{"id":"https://openalex.org/C95121573","wikidata":"https://www.wikidata.org/wiki/Q190474","display_name":"Activation energy","level":2,"score":0.2757999897003174},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.2736000120639801},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.26030001044273376},{"id":"https://openalex.org/C205539056","wikidata":"https://www.wikidata.org/wiki/Q5251699","display_name":"Deformation mechanism","level":3,"score":0.2533999979496002}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1371/journal.pone.0357081","doi":"https://doi.org/10.1371/journal.pone.0357081","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pone.0357081","pdf_url":null,"source":{"id":"https://openalex.org/S202381698","display_name":"PLoS ONE","issn_l":"1932-6203","issn":["1932-6203"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","doyens","erih-plus","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS One","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1371/journal.pone.0357081","doi":"https://doi.org/10.1371/journal.pone.0357081","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pone.0357081","pdf_url":null,"source":{"id":"https://openalex.org/S202381698","display_name":"PLoS ONE","issn_l":"1932-6203","issn":["1932-6203"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","doyens","erih-plus","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS One","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1965849278","https://openalex.org/W1986221528","https://openalex.org/W2023467242","https://openalex.org/W2090676899","https://openalex.org/W2094447650","https://openalex.org/W2309125637","https://openalex.org/W2513003065","https://openalex.org/W2560260334","https://openalex.org/W2606559988","https://openalex.org/W2767481537","https://openalex.org/W2771532481","https://openalex.org/W2788437388","https://openalex.org/W2792031570","https://openalex.org/W2905886518","https://openalex.org/W2920898355","https://openalex.org/W2982170126","https://openalex.org/W2995438779","https://openalex.org/W3045812810","https://openalex.org/W3085269562","https://openalex.org/W3151604932","https://openalex.org/W3184358895","https://openalex.org/W4220736417","https://openalex.org/W4293660604","https://openalex.org/W4309809355","https://openalex.org/W4311172620","https://openalex.org/W4386003556","https://openalex.org/W4387871494","https://openalex.org/W4400323858","https://openalex.org/W4402121631","https://openalex.org/W4405261052","https://openalex.org/W4405925987","https://openalex.org/W4409327950","https://openalex.org/W4410083282","https://openalex.org/W4413890023","https://openalex.org/W4415533663","https://openalex.org/W4417516005","https://openalex.org/W7088393751","https://openalex.org/W7118826293"],"related_works":[],"abstract_inverted_index":{"This":[0],"study":[1],"investigates":[2],"the":[3,44,67,80,84,113,123,165,171,179],"mechanical":[4,68,144,180],"and":[5,15,19,49,57,70,89,108,128,139,143,152,173],"energy":[6,58,91,109,153],"responses":[7],"of":[8,46,73,178,182],"red":[9,36,74,185],"sandstone":[10,37,186],"subjected":[11],"to":[12,42,105,157],"high-temperature":[13],"treatment":[14,48],"multilevel":[16,188],"cyclic":[17,30,126,189],"loading":[18,31,51,78,131],"develops":[20],"an":[21,99],"energy-driven":[22],"constitutive":[23,118,176],"model":[24,163],"for":[25,122],"its":[26],"deformation":[27,71,107],"behavior.":[28],"Triaxial":[29],"tests":[32,172],"were":[33],"conducted":[34],"on":[35,52,112],"treated":[38,184],"at":[39,79],"different":[40],"temperatures":[41],"examine":[43],"effects":[45],"thermal":[47],"repeated":[50,77],"stress\u2013strain":[53,167],"response,":[54,115],"residual":[55],"deformation,":[56,136,138],"evolution.":[59,141],"The":[60,161],"results":[61],"show":[62],"that":[63],"temperature":[64],"significantly":[65],"affects":[66],"properties":[69],"characteristics":[72,168],"sandstone.":[75],"Under":[76],"same":[81],"stress":[82,102],"level,":[83],"hysteresis-loop":[85],"area,":[86],"residual-strain":[87],"growth,":[88],"dissipated":[90],"generally":[92],"decrease":[93],"with":[94],"increasing":[95],"cycle":[96],"number,":[97],"whereas":[98],"increase":[100],"in":[101,170],"level":[103],"leads":[104],"renewed":[106],"dissipation.":[110],"Based":[111],"experimental":[114],"a":[116,149,175],"staged":[117],"framework":[119],"is":[120,155],"established":[121],"initial":[124],"loading,":[125,127],"subsequent":[129],"monotonic":[130],"stages":[132],"by":[133],"considering":[134],"compaction":[135],"skeleton":[137],"damage":[140,145,159],"Thermal":[142],"are":[146],"incorporated":[147],"through":[148],"load-carrying":[150],"ratio,":[151],"density":[154],"introduced":[156],"characterize":[158],"accumulation.":[160],"proposed":[162],"reproduces":[164],"main":[166],"observed":[169],"provides":[174],"description":[177],"response":[181],"thermally":[183],"under":[187],"loading.":[190]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-11-05T00:00:00"}