{"id":"https://openalex.org/W1975714312","doi":"https://doi.org/10.1145/1899404.1899410","title":"A nonsmooth Newton solver for capturing exact Coulomb friction in fiber assemblies","display_name":"A nonsmooth Newton solver for capturing exact Coulomb friction in fiber assemblies","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1975714312","doi":"https://doi.org/10.1145/1899404.1899410","mag":"1975714312"},"language":"en","primary_location":{"id":"doi:10.1145/1899404.1899410","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1899404.1899410","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/inria-00557706","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049533601","display_name":"Florence Bertails\u2010Descoubes","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Florence Bertails-Descoubes","raw_affiliation_strings":["INRIA, Cedex, France","INRIA, Cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"INRIA, Cedex, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA, Cedex, France#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060895518","display_name":"Florent Cadoux","orcid":"https://orcid.org/0000-0001-9825-7768"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Florent Cadoux","raw_affiliation_strings":["INRIA, Cedex, France","INRIA, Cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"INRIA, Cedex, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA, Cedex, France#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027239057","display_name":"Gilles Daviet","orcid":"https://orcid.org/0000-0003-3154-7423"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gilles Daviet","raw_affiliation_strings":["INRIA, Cedex, France","INRIA, Cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"INRIA, Cedex, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA, Cedex, France#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002002737","display_name":"Vincent Acary","orcid":"https://orcid.org/0000-0002-9782-4051"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vincent Acary","raw_affiliation_strings":["INRIA, Cedex, France","INRIA, Cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"INRIA, Cedex, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA, Cedex, France#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5049533601"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":12.4765,"has_fulltext":false,"cited_by_count":89,"citation_normalized_percentile":{"value":0.98482631,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"30","issue":"1","first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11799","display_name":"Adhesion, Friction, and Surface Interactions","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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6512407064437866},{"id":"https://openalex.org/keywords/coulomb-friction","display_name":"Coulomb friction","score":0.5915274024009705},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5451116561889648},{"id":"https://openalex.org/keywords/coulomb","display_name":"Coulomb","score":0.5407971739768982},{"id":"https://openalex.org/keywords/coulombs-law","display_name":"Coulomb's law","score":0.5103747248649597},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.4436630308628082},{"id":"https://openalex.org/keywords/grasp","display_name":"GRASP","score":0.4375479519367218},{"id":"https://openalex.org/keywords/linear-complementarity-problem","display_name":"Linear complementarity problem","score":0.42671021819114685},{"id":"https://openalex.org/keywords/slip","display_name":"Slip (aerodynamics)","score":0.4188540577888489},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3965749144554138},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34722989797592163},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33298638463020325},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23597383499145508},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17838388681411743},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12601399421691895}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6512407064437866},{"id":"https://openalex.org/C2986328948","wikidata":"https://www.wikidata.org/wiki/Q82580","display_name":"Coulomb friction","level":3,"score":0.5915274024009705},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5451116561889648},{"id":"https://openalex.org/C9342510","wikidata":"https://www.wikidata.org/wiki/Q25406","display_name":"Coulomb","level":3,"score":0.5407971739768982},{"id":"https://openalex.org/C193874036","wikidata":"https://www.wikidata.org/wiki/Q83152","display_name":"Coulomb's law","level":4,"score":0.5103747248649597},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4436630308628082},{"id":"https://openalex.org/C171268870","wikidata":"https://www.wikidata.org/wiki/Q1486676","display_name":"GRASP","level":2,"score":0.4375479519367218},{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.42671021819114685},{"id":"https://openalex.org/C195268267","wikidata":"https://www.wikidata.org/wiki/Q1928883","display_name":"Slip (aerodynamics)","level":2,"score":0.4188540577888489},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3965749144554138},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34722989797592163},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33298638463020325},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23597383499145508},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17838388681411743},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12601399421691895},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/1899404.1899410","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1899404.1899410","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.226.454","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.226.454","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.inrialpes.fr/bipop/people/bertails/Papiers/PDF/hairContact.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00557706v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00557706","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Graphics, 2011, 30 (1), pp.Article No. 6. ⟨10.1145/1899404.1899410⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00557706v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00557706","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Graphics, 2011, 30 (1), pp.Article No. 6. ⟨10.1145/1899404.1899410⟩","raw_type":"Journal articles"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.800000011920929,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W65970486","https://openalex.org/W116227518","https://openalex.org/W146608238","https://openalex.org/W1589352600","https://openalex.org/W1595744254","https://openalex.org/W1853417589","https://openalex.org/W1964359378","https://openalex.org/W1979444033","https://openalex.org/W1979668890","https://openalex.org/W1985640101","https://openalex.org/W1989750992","https://openalex.org/W1992688650","https://openalex.org/W1997959223","https://openalex.org/W1998335098","https://openalex.org/W1999372592","https://openalex.org/W2006698895","https://openalex.org/W2011095492","https://openalex.org/W2020404757","https://openalex.org/W2031491180","https://openalex.org/W2032113491","https://openalex.org/W2032507921","https://openalex.org/W2039879435","https://openalex.org/W2080406577","https://openalex.org/W2085897137","https://openalex.org/W2091439137","https://openalex.org/W2094941093","https://openalex.org/W2101161306","https://openalex.org/W2106069842","https://openalex.org/W2118772813","https://openalex.org/W2118979432","https://openalex.org/W2119984419","https://openalex.org/W2127794343","https://openalex.org/W2128089086","https://openalex.org/W2132836675","https://openalex.org/W2141372803","https://openalex.org/W2151586077","https://openalex.org/W2152715074","https://openalex.org/W2153204852","https://openalex.org/W2153989016","https://openalex.org/W2157141568","https://openalex.org/W2157805404","https://openalex.org/W2163862895","https://openalex.org/W2164636472","https://openalex.org/W2170429598","https://openalex.org/W2234650683","https://openalex.org/W2235036220","https://openalex.org/W2245259275","https://openalex.org/W2400095606","https://openalex.org/W2505829934","https://openalex.org/W2593063709","https://openalex.org/W2998248225","https://openalex.org/W3103465570","https://openalex.org/W3149441033","https://openalex.org/W3203127690","https://openalex.org/W4249202145","https://openalex.org/W4254440941"],"related_works":["https://openalex.org/W2722509704","https://openalex.org/W204824414","https://openalex.org/W3204150836","https://openalex.org/W2015205059","https://openalex.org/W2027987422","https://openalex.org/W2071775679","https://openalex.org/W3121714213","https://openalex.org/W3204099251","https://openalex.org/W2062174770","https://openalex.org/W108630687"],"abstract_inverted_index":{"We":[0,139],"focus":[1],"on":[2,25],"the":[3,14,44,50,86,149,179,197],"challenging":[4],"problem":[5,45,72,115],"of":[6,16,73,88,99,181,200],"simulating":[7],"thin":[8,155],"elastic":[9,156],"rods":[10,89,157],"in":[11,13,21,33,57,168,175],"contact,":[12,163],"presence":[15],"friction.":[17],"Most":[18],"previous":[19],"approaches":[20],"computer":[22],"graphics":[23],"rely":[24],"a":[26,34,69,74,97,108,118,193],"linear":[27,100],"complementarity":[28],"formulation":[29],"for":[30,42,133],"handling":[31],"contact":[32,58,63],"stable":[35],"way,":[36],"and":[37,55,64,120,131],"approximate":[38],"Coulombs's":[39],"friction":[40,67],"law":[41],"making":[43],"tractable.":[46],"In":[47],"contrast,":[48],"following":[49],"seminal":[51],"work":[52],"by":[53,91],"Alart":[54],"Curnier":[56],"mechanics,":[59],"we":[60,116],"simultaneously":[61],"model":[62],"exact":[65],"Coulomb":[66],"as":[68,165,192],"zero":[70],"finding":[71],"nonsmooth":[75,122],"function.":[76,110],"A":[77],"semi-implicit":[78],"time-stepping":[79],"scheme":[80],"is":[81,144],"then":[82],"employed":[83],"to":[84,96,103,127,146],"discretize":[85],"dynamics":[87],"constrained":[90],"frictional":[92],"contact:":[93],"this":[94,113],"leads":[95],"set":[98],"equations":[101],"subject":[102],"an":[104],"equality":[105],"constraint":[106],"involving":[107],"nondifferentiable":[109],"To":[111],"solve":[112],"one-step":[114],"introduce":[117],"simple":[119],"practical":[121],"Newton":[123],"algorithm":[124],"which":[125],"proves":[126],"be":[128,190],"reasonably":[129],"efficient":[130],"robust":[132],"systems":[134],"that":[135,141,152],"are":[136],"not":[137],"overconstrained.":[138],"show":[140],"our":[142],"method":[143,188],"able":[145],"finely":[147],"capture":[148],"subtle":[150],"effects":[151],"occur":[153],"when":[154],"with":[158],"various":[159],"geometries":[160],"enter":[161],"into":[162],"such":[164],"stick-slip":[166],"instabilities":[167],"free":[169],"configurations,":[170],"entangling":[171],"curls,":[172],"resting":[173],"contacts":[174],"braid-like":[176],"structures,":[177],"or":[178],"formation":[180],"tight":[182],"knots":[183],"under":[184],"large":[185],"constraints.":[186],"Our":[187],"can":[189],"viewed":[191],"first":[194],"step":[195],"towards":[196],"accurate":[198],"modeling":[199],"dynamic":[201],"fibrous":[202],"materials.":[203]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}