{"id":"https://openalex.org/W7212628588","doi":"https://doi.org/10.48550/arxiv.2609.12767","title":"Crack propagation threshold in single-crystal silicon: a cleavage plane-crackons model","display_name":"Crack propagation threshold in single-crystal silicon: a cleavage plane-crackons model","publication_year":2026,"publication_date":"2026-09-11","ids":{"openalex":"https://openalex.org/W7212628588","doi":"https://doi.org/10.48550/arxiv.2609.12767"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.12767","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.12767","pdf_url":"https://arxiv.org/pdf/2609.12767","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.12767","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5151676335","display_name":"Faming Gao","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I132369690","display_name":"Tianjin University of Science and Technology","ror":"https://ror.org/018rbtf37","country_code":"CN","type":"education","lineage":["https://openalex.org/I132369690"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Gao, Faming","raw_affiliation_strings":["State Key Laboratory of Bio-based Fiber Materials , Tianjin University of Science and Technology , Tianjin 300222 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Bio-based Fiber Materials , Tianjin University of Science and Technology , Tianjin 300222 , China","institution_ids":["https://openalex.org/I132369690"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5151676335"],"corresponding_institution_ids":["https://openalex.org/I132369690"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10396","display_name":"Fatigue and fracture mechanics","score":0.9667999744415283,"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/T10396","display_name":"Fatigue and fracture mechanics","score":0.9667999744415283,"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/T10204","display_name":"Microstructure and mechanical properties","score":0.008200000040233135,"subfield":{"id":"https://openalex.org/subfields/2506","display_name":"Metals and Alloys"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.008100000210106373,"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/crack-propagation","display_name":"crack propagation","score":0.7829999923706055},{"id":"https://openalex.org/keywords/single-crystal-silicon","display_name":"monocrystalline silicon","score":0.9919999837875366},{"id":"https://openalex.org/keywords/crack-velocity","display_name":"crack velocity","score":0.703000009059906},{"id":"https://openalex.org/keywords/crack-driving-force","display_name":"crack driving force","score":0.6959999799728394},{"id":"https://openalex.org/keywords/quantum-numbers","display_name":"quantum numbers","score":0.6340000033378601},{"id":"https://openalex.org/keywords/crack-surface-roughness","display_name":"crack surface roughness","score":0.8930000066757202},{"id":"https://openalex.org/keywords/unstable-crack-propagation","display_name":"unstable crack propagation","score":0.7919999957084656},{"id":"https://openalex.org/keywords/fracture-toughness","display_name":"fracture toughness","score":0.9589999914169312},{"id":"https://openalex.org/keywords/fracture-mechanism","display_name":"fracture mechanism","score":0.5350000262260437}],"concepts":[{"id":"https://openalex.org/C59085676","wikidata":"https://www.wikidata.org/wiki/Q957852","display_name":"Fracture mechanics","level":2,"score":0.7645000219345093},{"id":"https://openalex.org/C97549433","wikidata":"https://www.wikidata.org/wiki/Q911969","display_name":"Fracture toughness","level":2,"score":0.7074000239372253},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.6965000033378601},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.5461999773979187},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5314000248908997},{"id":"https://openalex.org/C43369102","wikidata":"https://www.wikidata.org/wiki/Q2307625","display_name":"Fracture (geology)","level":2,"score":0.4812000095844269},{"id":"https://openalex.org/C175156509","wikidata":"https://www.wikidata.org/wiki/Q1990218","display_name":"Cleavage (geology)","level":3,"score":0.46799999475479126},{"id":"https://openalex.org/C107365816","wikidata":"https://www.wikidata.org/wiki/Q114817","display_name":"Surface roughness","level":2,"score":0.4440000057220459},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4309999942779541},{"id":"https://openalex.org/C101386981","wikidata":"https://www.wikidata.org/wiki/Q17008035","display_name":"Crack growth resistance curve","level":4,"score":0.41029998660087585},{"id":"https://openalex.org/C75512024","wikidata":"https://www.wikidata.org/wiki/Q17009280","display_name":"Crack closure","level":3,"score":0.3937000036239624},{"id":"https://openalex.org/C544956773","wikidata":"https://www.wikidata.org/wiki/Q670","display_name":"Silicon","level":2,"score":0.34630000591278076},{"id":"https://openalex.org/C71039073","wikidata":"https://www.wikidata.org/wiki/Q3439090","display_name":"Surface finish","level":2,"score":0.335099995136261},{"id":"https://openalex.org/C99595764","wikidata":"https://www.wikidata.org/wiki/Q486802","display_name":"Toughness","level":2,"score":0.33399999141693115},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.329800009727478},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.29170000553131104},{"id":"https://openalex.org/C54303661","wikidata":"https://www.wikidata.org/wiki/Q1754376","display_name":"Stress intensity factor","level":3,"score":0.2897000014781952},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2759999930858612},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27480000257492065},{"id":"https://openalex.org/C3161131","wikidata":"https://www.wikidata.org/wiki/Q14097093","display_name":"Linear elasticity","level":3,"score":0.2727999985218048},{"id":"https://openalex.org/C59593255","wikidata":"https://www.wikidata.org/wiki/Q901663","display_name":"Molecular dynamics","level":2,"score":0.27160000801086426},{"id":"https://openalex.org/C51830879","wikidata":"https://www.wikidata.org/wiki/Q17008045","display_name":"Crack tip opening displacement","level":4,"score":0.25940001010894775},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.2547999918460846}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.12767","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.12767","pdf_url":"https://arxiv.org/pdf/2609.12767","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.12767","doi":"https://doi.org/10.48550/arxiv.2609.12767","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.12767","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.12767","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.12767","pdf_url":"https://arxiv.org/pdf/2609.12767","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2567538837","display_name":"\u65b0\u578b\u56db\u65b9BC2N\u8d85\u786c\u5316\u5408\u7269\u7eb3\u7c73\u6676\u548c\u5927\u9897\u7c92\u5355\u6676\u7684\u6e29\u548c\u6761\u4ef6\u5408\u6210\u548c\u6027\u80fd\u7814\u7a76","funder_award_id":"21071122","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G686555108","display_name":null,"funder_award_id":"22379112","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212628588.pdf","grobid_xml":"https://content.openalex.org/works/W7212628588.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2062789534","https://openalex.org/W2111111047","https://openalex.org/W2059288883","https://openalex.org/W1772769290","https://openalex.org/W1987577630","https://openalex.org/W2554111132","https://openalex.org/W2217772012","https://openalex.org/W2796003988","https://openalex.org/W2082202619","https://openalex.org/W2093588186"],"abstract_inverted_index":{"Experiments":[0],"revealed":[1],"the":[2,5,8,12,37,43,63,67,82,86,90,99,102,105,115,130,146,150,171],"discontinuities":[3],"in":[4,121],"dependence":[6],"of":[7,39,58,66,78,85,89,101,104,117,149],"crack":[9,13,48,55,119],"speeds":[10],"on":[11],"driving":[14],"force.":[15],"Despite":[16],"great":[17],"efforts,":[18],"until":[19],"now,":[20],"previous":[21],"theoretical":[22],"methods,":[23],"such":[24],"as":[25],"linear":[26],"elastic":[27],"fracture":[28,135,151,172],"mechanics":[29],"and":[30,98,134,159,169],"molecular":[31],"dynamics":[32],"calculations,":[33],"failed":[34],"to":[35,62,143,157,163,167],"elucidate":[36],"issue":[38,88],"speed":[40,57,91],"gap.":[41,92],"Herein,":[42],"cleavage":[44],"plane-crackons":[45],"model":[46],"for":[47,114],"propagation":[49,56,120],"has":[50,107,124,137],"been":[51,108,125,138],"proposed.":[52],"The":[53,93,110,127],"normalized":[54],"silicon":[59,123,158],"is":[60,73,154],"proportional":[61],"one-fourth":[64],"power":[65],"quantum":[68,96,112,132],"numbers.":[69],"This":[70,140],"motion":[71],"equation":[72],"consistent":[74],"with":[75],"experimental":[76],"results":[77],"silicon.":[79],"It":[80,153],"clarifies":[81],"underlying":[83,147],"mechanism":[84,148],"long-standing":[87],"relationship":[94],"between":[95,129],"numbers":[97],"roughness":[100],"surface":[103],"cracks":[106],"established.":[109],"critical":[111,131],"number":[113,133],"onset":[116],"unstable":[118],"single-crystal":[122],"determined.":[126],"correspondence":[128],"toughness":[136],"discovered.":[139],"methodology":[141],"lead":[142],"insights":[144],"into":[145],"processes.":[152],"not":[155],"limited":[156],"can":[160],"be":[161],"extended":[162],"other":[164],"crystalline":[165],"material":[166],"understand":[168],"predict":[170],"behaviors.":[173]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-09-15T00:00:00"}
