{"id":"https://openalex.org/W4213437785","doi":"https://doi.org/10.3390/sym14030434","title":"Statistical Damage Model of Rock Structural Plane Considering Void Compaction and Failure Modes","display_name":"Statistical Damage Model of Rock Structural Plane Considering Void Compaction and Failure Modes","publication_year":2022,"publication_date":"2022-02-22","ids":{"openalex":"https://openalex.org/W4213437785","doi":"https://doi.org/10.3390/sym14030434"},"language":"en","primary_location":{"id":"doi:10.3390/sym14030434","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14030434","pdf_url":"https://www.mdpi.com/2073-8994/14/3/434/pdf?version=1645691513","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/2073-8994/14/3/434/pdf?version=1645691513","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033080517","display_name":"Bin Hu","orcid":"https://orcid.org/0000-0002-1938-1857"},"institutions":[{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Hu","raw_affiliation_strings":["Hubei Key Laboratory for Efficient Utilization and Agglomeration of Metallurgic Mineral Resources, Wuhan 430081, China","School of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan 430081, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hubei Key Laboratory for Efficient Utilization and Agglomeration of Metallurgic Mineral Resources, Wuhan 430081, China","institution_ids":[]},{"raw_affiliation_string":"School of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan 430081, China","institution_ids":["https://openalex.org/I43922553"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100390178","display_name":"Zhen Zhang","orcid":"https://orcid.org/0000-0002-7997-0055"},"institutions":[{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhen Zhang","raw_affiliation_strings":["Hubei Key Laboratory for Efficient Utilization and Agglomeration of Metallurgic Mineral Resources, Wuhan 430081, China","School of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan 430081, China"],"raw_orcid":"https://orcid.org/0000-0002-7997-0055","affiliations":[{"raw_affiliation_string":"Hubei Key Laboratory for Efficient Utilization and Agglomeration of Metallurgic Mineral Resources, Wuhan 430081, China","institution_ids":[]},{"raw_affiliation_string":"School of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan 430081, China","institution_ids":["https://openalex.org/I43922553"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084648501","display_name":"Jing Li","orcid":"https://orcid.org/0000-0001-7802-772X"},"institutions":[{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jing Li","raw_affiliation_strings":["Hubei Key Laboratory for Efficient Utilization and Agglomeration of Metallurgic Mineral Resources, Wuhan 430081, China","School of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan 430081, China"],"raw_orcid":"https://orcid.org/0000-0001-7802-772X","affiliations":[{"raw_affiliation_string":"Hubei Key Laboratory for Efficient Utilization and Agglomeration of Metallurgic Mineral Resources, Wuhan 430081, China","institution_ids":[]},{"raw_affiliation_string":"School of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan 430081, China","institution_ids":["https://openalex.org/I43922553"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004084900","display_name":"Huiping Xiao","orcid":null},"institutions":[{"id":"https://openalex.org/I4210161227","display_name":"Huangshi Central Hospital","ror":"https://ror.org/05ncqj764","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210161227"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huiping Xiao","raw_affiliation_strings":["Huangshi Construction Market Management Station, Huangshi 435000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Huangshi Construction Market Management Station, Huangshi 435000, China","institution_ids":["https://openalex.org/I4210161227"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020397454","display_name":"Zeqi Wang","orcid":"https://orcid.org/0000-0002-3960-2549"},"institutions":[{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zeqi Wang","raw_affiliation_strings":["Hubei Key Laboratory for Efficient Utilization and Agglomeration of Metallurgic Mineral Resources, Wuhan 430081, China","School of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan 430081, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hubei Key Laboratory for Efficient Utilization and Agglomeration of Metallurgic Mineral Resources, Wuhan 430081, China","institution_ids":[]},{"raw_affiliation_string":"School of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan 430081, China","institution_ids":["https://openalex.org/I43922553"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5084648501","https://openalex.org/A5100390178"],"corresponding_institution_ids":["https://openalex.org/I43922553"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.9192,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.66331159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"14","issue":"3","first_page":"434","last_page":"434"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10161","display_name":"Rock Mechanics and Modeling","score":0.9998999834060669,"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":0.9998999834060669,"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/T10535","display_name":"Landslides and related hazards","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/2308","display_name":"Management, Monitoring, Policy and Law"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11699","display_name":"High-Velocity Impact and Material Behavior","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/void-ratio","display_name":"Void ratio","score":0.6087257862091064},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.6063459515571594},{"id":"https://openalex.org/keywords/compaction","display_name":"Compaction","score":0.5746654272079468},{"id":"https://openalex.org/keywords/direct-shear-test","display_name":"Direct shear test","score":0.551763117313385},{"id":"https://openalex.org/keywords/shear","display_name":"Shear (geology)","score":0.5255233645439148},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.4950481951236725},{"id":"https://openalex.org/keywords/fault-gouge","display_name":"Fault gouge","score":0.44555991888046265},{"id":"https://openalex.org/keywords/void","display_name":"Void (composites)","score":0.44077083468437195},{"id":"https://openalex.org/keywords/dilatant","display_name":"Dilatant","score":0.42122721672058105},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3712877929210663},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.35695284605026245},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.1423603892326355},{"id":"https://openalex.org/keywords/petrology","display_name":"Petrology","score":0.11540147662162781},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10051634907722473}],"concepts":[{"id":"https://openalex.org/C164374781","wikidata":"https://www.wikidata.org/wiki/Q1444861","display_name":"Void ratio","level":2,"score":0.6087257862091064},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.6063459515571594},{"id":"https://openalex.org/C196715460","wikidata":"https://www.wikidata.org/wiki/Q1414356","display_name":"Compaction","level":2,"score":0.5746654272079468},{"id":"https://openalex.org/C41151612","wikidata":"https://www.wikidata.org/wiki/Q5280388","display_name":"Direct shear test","level":3,"score":0.551763117313385},{"id":"https://openalex.org/C96035792","wikidata":"https://www.wikidata.org/wiki/Q43606218","display_name":"Shear (geology)","level":2,"score":0.5255233645439148},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.4950481951236725},{"id":"https://openalex.org/C192194790","wikidata":"https://www.wikidata.org/wiki/Q1662373","display_name":"Fault gouge","level":3,"score":0.44555991888046265},{"id":"https://openalex.org/C2779772531","wikidata":"https://www.wikidata.org/wiki/Q19689164","display_name":"Void (composites)","level":2,"score":0.44077083468437195},{"id":"https://openalex.org/C74108042","wikidata":"https://www.wikidata.org/wiki/Q1225407","display_name":"Dilatant","level":2,"score":0.42122721672058105},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3712877929210663},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.35695284605026245},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.1423603892326355},{"id":"https://openalex.org/C5900021","wikidata":"https://www.wikidata.org/wiki/Q163082","display_name":"Petrology","level":1,"score":0.11540147662162781},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10051634907722473},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.0},{"id":"https://openalex.org/C165205528","wikidata":"https://www.wikidata.org/wiki/Q83371","display_name":"Seismology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym14030434","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14030434","pdf_url":"https://www.mdpi.com/2073-8994/14/3/434/pdf?version=1645691513","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:b5386b0673fa403487e690b3eff67de5","is_oa":true,"landing_page_url":"https://doaj.org/article/b5386b0673fa403487e690b3eff67de5","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 14, Iss 3, p 434 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/3/434/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14030434","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/sym14030434","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14030434","pdf_url":"https://www.mdpi.com/2073-8994/14/3/434/pdf?version=1645691513","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/G2220555086","display_name":null,"funder_award_id":"U1802243","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5939365398","display_name":null,"funder_award_id":"41672317","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4213437785.pdf","grobid_xml":"https://content.openalex.org/works/W4213437785.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1970499362","https://openalex.org/W1974347944","https://openalex.org/W2051104402","https://openalex.org/W2053057567","https://openalex.org/W2348696676","https://openalex.org/W2355634083","https://openalex.org/W2375599228","https://openalex.org/W2376468971","https://openalex.org/W2384174903","https://openalex.org/W2388954758","https://openalex.org/W2601205016","https://openalex.org/W2758823124","https://openalex.org/W2786312732","https://openalex.org/W2886697346","https://openalex.org/W2889135637","https://openalex.org/W2936422567","https://openalex.org/W2996562872","https://openalex.org/W3035170503","https://openalex.org/W3047065978","https://openalex.org/W6692289367"],"related_works":["https://openalex.org/W3155722494","https://openalex.org/W2055039486","https://openalex.org/W2356689671","https://openalex.org/W2366303896","https://openalex.org/W2386297217","https://openalex.org/W4253598589","https://openalex.org/W2892346228","https://openalex.org/W3163070207","https://openalex.org/W2600280958","https://openalex.org/W1993659073"],"abstract_inverted_index":{"The":[0,28,270,286],"shear":[1,13,31,61,89,108,241,249,251,274,296],"behavior":[2],"of":[3,22,30,36,50,56,59,69,88,93,107,114,119,149,152,174,177,186,218,273,281,300],"rock":[4,24,26,37,52,154,179,301],"structural":[5,38,94,120,124,155,187,220,239,302],"planes":[6,39],"contains":[7],"various":[8],"symmetry":[9],"laws,":[10],"and":[11,25,33,48,73,86,91,96,116,122,132,144,147,194,210,230,263,279,298],"the":[12,23,34,46,57,66,70,74,84,98,104,123,129,138,145,150,153,161,166,172,175,178,207,211,215,219,227,234,238,248,254,260,277,282,295],"failure":[14,35,77,92,133,148,195,231,268,299],"can":[15,190,245,289],"be":[16],"considered":[17],"as":[18,237,257,259],"an":[19],"asymmetric":[20],"state":[21],"mass.":[27],"study":[29],"deformation":[32,90,297],"plays":[40],"a":[41,182,200,291],"vital":[42],"role":[43],"in":[44,82,266],"ensuring":[45],"safety":[47],"stability":[49],"engineered":[51],"masses.":[53],"In":[54],"view":[55],"inability":[58],"traditional":[60],"constitutive":[62,284],"models":[63],"to":[64,102,159,170],"describe":[65,191,247],"non-linear":[67,105],"characteristics":[68,106],"dilatancy":[71,255],"stage":[72,262,265],"single":[75],"applicable":[76],"form,":[78],"firstly,":[79],"we":[80],"discuss,":[81],"depth,":[83],"law":[85,272],"mechanism":[87],"planes,":[95,121,188],"introduce":[97],"compaction":[99,113,131,193,229],"index":[100],"\u03b1":[101],"measure":[103,171],"stress\u2013shear":[109],"displacement":[110,252,275],"caused":[111],"by":[112],"microcracks":[115],"internal":[117],"pores":[118],"plane":[125,156,221,240],"damage":[126,140,184,223],"model,":[127],"considering":[128,226],"void":[130,192,228],"mode,":[134],"was":[135,142,197,203],"established.":[136,198],"Then,":[137],"statistical":[139,183,222],"theory":[141],"introduced,":[143],"strength":[146,168,173],"microunits":[151,176],"were":[157],"assumed":[158],"obey":[160],"Weibull":[162],"distribution.":[163],"Based":[164],"on":[165],"Mohr-Coulomb":[167],"criterion":[169],"structure":[180],"surface,":[181],"model":[185,224],"which":[189,244],"modes,":[196,232],"Finally,":[199],"comparative":[201],"analysis":[202],"carried":[204],"out":[205],"with":[206],"test":[208,242],"curve,":[209,243],"results":[212,288],"showed":[213],"that:":[214],"calculation":[216],"curve":[217],"established,":[225],"has":[233],"same":[235],"trend":[236],"better":[246],"stress\u2013":[250],"at":[253],"stage,":[256],"well":[258],"shearing":[261],"sliding":[264],"different":[267],"modes.":[269],"changing":[271],"reflects":[276],"rationality":[278],"accuracy":[280],"constructed":[283],"model.":[285],"research":[287],"provide":[290],"theoretical":[292],"basis":[293],"for":[294],"planes.":[303]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}