{"id":"https://openalex.org/W7222925985","doi":"https://doi.org/10.48550/arxiv.2610.23674","title":"Plastic Flow Rule Based on Dislocation Link Velocity","display_name":"Plastic Flow Rule Based on Dislocation Link Velocity","publication_year":2026,"publication_date":"2026-10-16","ids":{"openalex":"https://openalex.org/W7222925985","doi":"https://doi.org/10.48550/arxiv.2610.23674"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.23674","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.23674","pdf_url":"https://arxiv.org/pdf/2610.23674","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/2610.23674","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016292174","display_name":"Hanfeng Zhai","orcid":"https://orcid.org/0000-0003-1511-7597","observed_orcids":["https://orcid.org/0000-0003-1511-7597"]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhai, Hanfeng","raw_affiliation_strings":["Department of Mechanical Engineering , Stanford University , Stanford , CA , 94305 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering , Stanford University , Stanford , CA , 94305 , USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159052601","display_name":"Sh. Akhondzadeh","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Akhondzadeh, Sh.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042949224","display_name":"Ryan B. Sills","orcid":"https://orcid.org/0000-0001-9581-6173","observed_orcids":["https://orcid.org/0000-0001-9581-6173"]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sills, Ryan B.","raw_affiliation_strings":["Department of Materials Science and Engineering , Rutgers University , Piscataway , NJ , 08854 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Materials Science and Engineering , Rutgers University , Piscataway , NJ , 08854 , USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001430855","display_name":"Nicolas Bertin","orcid":"https://orcid.org/0000-0002-1901-8767","observed_orcids":["https://orcid.org/0000-0002-1901-8767"]},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bertin, Nicolas","raw_affiliation_strings":["Lawrence Livermore National Laboratory , Livermore , CA , 94550 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Livermore National Laboratory , Livermore , CA , 94550 , USA","institution_ids":["https://openalex.org/I1282311441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026754269","display_name":"Wei Cai A","orcid":"https://orcid.org/0000-0001-5919-8734","observed_orcids":["https://orcid.org/0000-0001-5919-8734","https://orcid.org/0000-0001-6590-2388"]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cai, Wei","raw_affiliation_strings":["Department of Mechanical Engineering , Stanford University , Stanford , CA , 94305 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering , Stanford University , Stanford , CA , 94305 , USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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/T10204","display_name":"Microstructure and mechanical properties","score":0.9970999956130981,"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"}},"topics":[{"id":"https://openalex.org/T10204","display_name":"Microstructure and mechanical properties","score":0.9970999956130981,"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/T10592","display_name":"Fusion materials and technologies","score":0.000699999975040555,"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"}},{"id":"https://openalex.org/T11201","display_name":"Metallurgy and Material Forming","score":0.0005000000237487257,"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/plastic-flow-rule","display_name":"plastic flow rule","score":0.902999997138977},{"id":"https://openalex.org/keywords/slip-systems","display_name":"slip systems","score":0.828000009059906},{"id":"https://openalex.org/keywords/face-centered-cubic-single-crystals","display_name":"face-centered cubic single crystals","score":0.9589999914169312},{"id":"https://openalex.org/keywords/orowan-equation","display_name":"Orowan equation","score":0.9210000038146973},{"id":"https://openalex.org/keywords/link-density","display_name":"link density","score":0.7799999713897705},{"id":"https://openalex.org/keywords/resolved-shear-stress","display_name":"resolved shear stress","score":0.8330000042915344},{"id":"https://openalex.org/keywords/discrete-dislocation-dynamics","display_name":"discrete dislocation dynamics","score":0.8230000138282776},{"id":"https://openalex.org/keywords/slip-system-interactions","display_name":"slip system interactions","score":0.6679999828338623}],"concepts":[{"id":"https://openalex.org/C256373","wikidata":"https://www.wikidata.org/wiki/Q7540843","display_name":"Slip line field","level":3,"score":0.7416999936103821},{"id":"https://openalex.org/C195268267","wikidata":"https://www.wikidata.org/wiki/Q1928883","display_name":"Slip (aerodynamics)","level":2,"score":0.704200029373169},{"id":"https://openalex.org/C96035792","wikidata":"https://www.wikidata.org/wiki/Q43606218","display_name":"Shear (geology)","level":2,"score":0.6157000064849854},{"id":"https://openalex.org/C30445746","wikidata":"https://www.wikidata.org/wiki/Q1558328","display_name":"Critical resolved shear stress","level":4,"score":0.5932999849319458},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5658000111579895},{"id":"https://openalex.org/C165682214","wikidata":"https://www.wikidata.org/wiki/Q461293","display_name":"Shear rate","level":3,"score":0.5281999707221985},{"id":"https://openalex.org/C159122135","wikidata":"https://www.wikidata.org/wiki/Q737571","display_name":"Dislocation","level":2,"score":0.5034999847412109},{"id":"https://openalex.org/C21141959","wikidata":"https://www.wikidata.org/wiki/Q657936","display_name":"Shear stress","level":2,"score":0.44839999079704285},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.41999998688697815},{"id":"https://openalex.org/C79186407","wikidata":"https://www.wikidata.org/wiki/Q472074","display_name":"Plasticity","level":2,"score":0.40540000796318054},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4007999897003174},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.38350000977516174},{"id":"https://openalex.org/C94656876","wikidata":"https://www.wikidata.org/wiki/Q1695787","display_name":"Shear velocity","level":3,"score":0.35569998621940613},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3431999981403351},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.33149999380111694},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3239000141620636},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29510000348091125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2888999879360199},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.28859999775886536},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.28290000557899475},{"id":"https://openalex.org/C101082671","wikidata":"https://www.wikidata.org/wiki/Q7520832","display_name":"Simple shear","level":3,"score":0.2822999954223633},{"id":"https://openalex.org/C2778312390","wikidata":"https://www.wikidata.org/wiki/Q4139973","display_name":"Growth rate","level":2,"score":0.28200000524520874},{"id":"https://openalex.org/C166693061","wikidata":"https://www.wikidata.org/wiki/Q5462119","display_name":"Flow velocity","level":3,"score":0.2809999883174896},{"id":"https://openalex.org/C187999972","wikidata":"https://www.wikidata.org/wiki/Q17105839","display_name":"Slip factor","level":3,"score":0.2775000035762787},{"id":"https://openalex.org/C56498450","wikidata":"https://www.wikidata.org/wiki/Q1376323","display_name":"Relative velocity","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.26570001244544983},{"id":"https://openalex.org/C135768490","wikidata":"https://www.wikidata.org/wiki/Q2250602","display_name":"Shear flow","level":2,"score":0.25949999690055847},{"id":"https://openalex.org/C83822299","wikidata":"https://www.wikidata.org/wiki/Q7160906","display_name":"Peierls stress","level":4,"score":0.25119999051094055}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.23674","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.23674","pdf_url":"https://arxiv.org/pdf/2610.23674","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.2610.23674","doi":"https://doi.org/10.48550/arxiv.2610.23674","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.23674","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.23674","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.23674","pdf_url":"https://arxiv.org/pdf/2610.23674","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/G1124130975","display_name":null,"funder_award_id":"DE-SC0010412","funder_id":"https://openalex.org/F4320337480","funder_display_name":"Basic Energy Sciences"},{"id":"https://openalex.org/G129027128","display_name":null,"funder_award_id":"DE-AC52-07NA27344.","funder_id":"https://openalex.org/F4320337480","funder_display_name":"Basic Energy Sciences"},{"id":"https://openalex.org/G1356433355","display_name":null,"funder_award_id":"DE\u2010AC5207NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"},{"id":"https://openalex.org/G14554683","display_name":null,"funder_award_id":"DEAC5207NA27344","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2145270357","display_name":null,"funder_award_id":"AC52\u201007NA27344","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3669113783","display_name":null,"funder_award_id":"07NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"},{"id":"https://openalex.org/G4061613808","display_name":null,"funder_award_id":"DE-AC52-07NA27344","funder_id":"https://openalex.org/F4320338483","funder_display_name":"Division of Materials Sciences and Engineering"},{"id":"https://openalex.org/G6081278974","display_name":null,"funder_award_id":"DE-SC0010412","funder_id":"https://openalex.org/F4320338483","funder_display_name":"Division of Materials Sciences and Engineering"},{"id":"https://openalex.org/G7900196714","display_name":null,"funder_award_id":"07NA27344","funder_id":"https://openalex.org/F4320338483","funder_display_name":"Division of Materials Sciences and Engineering"},{"id":"https://openalex.org/G895790057","display_name":null,"funder_award_id":"DE-AC52","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"},{"id":"https://openalex.org/G991281326","display_name":null,"funder_award_id":"AC52-07NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320337480","display_name":"Basic Energy Sciences","ror":"https://ror.org/05mg91w61"},{"id":"https://openalex.org/F4320338286","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53"},{"id":"https://openalex.org/F4320338483","display_name":"Division of Materials Sciences and Engineering","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7222925985.pdf","grobid_xml":"https://content.openalex.org/works/W7222925985.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1990117573","https://openalex.org/W2046574357","https://openalex.org/W2065994278","https://openalex.org/W2081757114","https://openalex.org/W2908085289","https://openalex.org/W2964121744","https://openalex.org/W3034604188","https://openalex.org/W3165404312","https://openalex.org/W7126214063"],"related_works":["https://openalex.org/W4398765960","https://openalex.org/W7220982707","https://openalex.org/W2276099645","https://openalex.org/W4400028530","https://openalex.org/W2758797628","https://openalex.org/W2029481682","https://openalex.org/W2008638349","https://openalex.org/W2102385981","https://openalex.org/W2082819073","https://openalex.org/W2280882356"],"abstract_inverted_index":{"We":[0],"develop":[1],"a":[2,123,146,165,187],"theory":[3],"for":[4,64,128],"the":[5,23,43,48,57,78,85,94,105,112,150,168,171,175,190,206,213,219],"plastic":[6,79],"shear":[7,24,80,87,191],"rate":[8,25,81],"$\\dot\u03b3_i$":[9],"on":[10,84,174,218],"each":[11],"slip":[12,67,131,154,176],"system":[13],"$i$":[14],"of":[15,31,42,96,108,167,170,197,201,216],"face-centered":[16],"cubic":[17],"(FCC)":[18],"single":[19,124],"crystals,":[20],"by":[21,122,140],"integrating":[22],"contributions":[26],"$\\dot\u03b3_i(l)$":[27,39],"from":[28,104,149],"dislocation":[29,59],"links":[30,203],"length":[32],"$l$.":[33],"A":[34],"generalized":[35],"Orowan":[36],"equation":[37],"expresses":[38],"in":[40,93],"terms":[41],"link":[44,50,134,220],"density":[45],"$n_i(l)$":[46,109],"and":[47,142],"average":[49],"velocity":[51,114,135],"$v_i(l)$.":[52,116],"This":[53,101],"model":[54],"accurately":[55],"reproduces":[56],"discrete":[58],"dynamics":[60],"(DDD)":[61],"shear-rate":[62],"data":[63],"all":[65,129],"12":[66],"systems":[68],"across":[69],"99":[70],"loading":[71],"orientations.":[72],"In":[73],"particular,":[74],"it":[75],"explains":[76],"why":[77],"depends":[82],"exponentially":[83],"resolved":[86],"stress":[88],"$\u03c4_i$,":[89],"as":[90],"reported":[91],"previously,":[92],"absence":[95],"any":[97],"thermally":[98],"activated":[99],"mechanism.":[100],"dependence":[102],"arises":[103],"exponential":[106],"tail":[107],"filtered":[110],"through":[111,162],"threshold-like":[113],"function":[115,126],"Furthermore,":[117],"$v_i(l)$":[118],"is":[119,136,184,204],"well":[120],"approximated":[121],"two-dimensional":[125],"$v(\u03c4_i,l)$":[127],"these":[130],"systems.":[132,155],"The":[133,199],"therefore":[137,205],"governed":[138],"mainly":[139,161],"$\u03c4_i$":[141,183,217],"$l$,":[143],"with":[144],"only":[145],"minor":[147],"effect":[148,169,215],"complex":[151],"interactions":[152,157],"between":[153],"These":[156],"instead":[158],"manifest":[159],"themselves":[160],"$n_i(l)$.":[163],"As":[164],"demonstration":[166],"link-length":[172],"distribution":[173],"rate,":[177],"we":[178],"show":[179],"that":[180],"even":[181],"when":[182],"limited":[185],"to":[186],"narrow":[188],"window,":[189],"rates":[192],"still":[193],"span":[194],"two":[195],"orders":[196],"magnitude.":[198],"supply":[200],"long":[202],"dominant":[207],"factor":[208],"controlling":[209],"slip-system":[210],"activity,":[211],"outweighing":[212],"direct":[214],"velocity.":[221]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-20T00:00:00"}
