{"id":"https://openalex.org/W7225152107","doi":"https://doi.org/10.26434/chemrxiv.15011597/v1","title":"Unraveling Two Nonlinear Rheological Peaks in Filled Rubber: Chain-Arm Retraction and Bound-Rubber Dynamics","display_name":"Unraveling Two Nonlinear Rheological Peaks in Filled Rubber: Chain-Arm Retraction and Bound-Rubber Dynamics","publication_year":2026,"publication_date":"2026-11-03","ids":{"openalex":"https://openalex.org/W7225152107","doi":"https://doi.org/10.26434/chemrxiv.15011597/v1"},"language":"en","primary_location":{"id":"doi:10.26434/chemrxiv.15011597/v1","doi":"https://doi.org/10.26434/chemrxiv.15011597/v1","is_oa":true,"landing_page_url":"https://doi.org/10.26434/chemrxiv.15011597/v1","pdf_url":"https://chemrxiv.org/doi/pdf/10.26434/chemrxiv.15011597/v1","source":{"id":"https://openalex.org/S4393918830","display_name":"ChemRxiv","issn_l":"2573-2293","issn":["2573-2293"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"volume":null,"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://chemrxiv.org/doi/pdf/10.26434/chemrxiv.15011597/v1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076979858","display_name":"Dario Nichetti","orcid":"https://orcid.org/0000-0003-2878-3396","observed_orcids":["https://orcid.org/0000-0003-2878-3396"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dario Nichetti","raw_affiliation_strings":["Rheonic Lab, Via Quadelle 2C, Castelleone, CR, Italy, 26012"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rheonic Lab, Via Quadelle 2C, Castelleone, CR, Italy, 26012","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087484656","display_name":"Alessio Zaccone","orcid":"https://orcid.org/0000-0002-6673-7043","observed_orcids":["https://orcid.org/0000-0002-6673-7043"]},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessio Zaccone","raw_affiliation_strings":["Department of Physics \u201cAldo Pontremoli, University of Milan, Via Celoria 16, Milan, Italy, 20133"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics \u201cAldo Pontremoli, University of Milan, Via Celoria 16, Milan, Italy, 20133","institution_ids":["https://openalex.org/I189158943"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"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/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9526000022888184,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9526000022888184,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14454","display_name":"Polymer Science and Applications","score":0.020899999886751175,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T10474","display_name":"Material Dynamics and Properties","score":0.007499999832361937,"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/nonlinear-rheology","display_name":"nonlinear rheology","score":0.6779999732971191},{"id":"https://openalex.org/keywords/filled-rubber","display_name":"filled rubber","score":0.7509999871253967},{"id":"https://openalex.org/keywords/nitrile-rubber","display_name":"nitrile rubber","score":0.9610000252723694},{"id":"https://openalex.org/keywords/carbon-black","display_name":"carbon black","score":0.7559999823570251},{"id":"https://openalex.org/keywords/long-chain-branching","display_name":"long-chain branching","score":0.656000018119812},{"id":"https://openalex.org/keywords/bound-rubber","display_name":"bound rubber","score":0.6949999928474426},{"id":"https://openalex.org/keywords/adsorbed-polymers","display_name":"adsorbed polymers","score":0.7570000290870667},{"id":"https://openalex.org/keywords/nonlinearity-index","display_name":"nonlinearity index","score":0.8309999704360962},{"id":"https://openalex.org/keywords/filler-matrix-interface","display_name":"filler-matrix interface","score":0.503000020980835},{"id":"https://openalex.org/keywords/polymer-nanocomposites","display_name":"polymer nanocomposites","score":0.4569999873638153}],"concepts":[{"id":"https://openalex.org/C91528185","wikidata":"https://www.wikidata.org/wiki/Q520952","display_name":"Maxima","level":3,"score":0.7587000131607056},{"id":"https://openalex.org/C200990466","wikidata":"https://www.wikidata.org/wiki/Q271707","display_name":"Rheology","level":2,"score":0.722100019454956},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.5986999869346619},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5910999774932861},{"id":"https://openalex.org/C176933379","wikidata":"https://www.wikidata.org/wiki/Q131877","display_name":"Natural rubber","level":2,"score":0.544700026512146},{"id":"https://openalex.org/C521977710","wikidata":"https://www.wikidata.org/wiki/Q81163","display_name":"Polymer","level":2,"score":0.5396999716758728},{"id":"https://openalex.org/C159467904","wikidata":"https://www.wikidata.org/wiki/Q2001702","display_name":"Chemical physics","level":1,"score":0.5358999967575073},{"id":"https://openalex.org/C59593255","wikidata":"https://www.wikidata.org/wiki/Q901663","display_name":"Molecular dynamics","level":2,"score":0.5331000089645386},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.49779999256134033},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.4514000117778778},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.42640000581741333},{"id":"https://openalex.org/C4679612","wikidata":"https://www.wikidata.org/wiki/Q866298","display_name":"Aggregate (composite)","level":2,"score":0.40290001034736633},{"id":"https://openalex.org/C150394285","wikidata":"https://www.wikidata.org/wiki/Q180254","display_name":"Adsorption","level":2,"score":0.3538999855518341},{"id":"https://openalex.org/C2778022156","wikidata":"https://www.wikidata.org/wiki/Q576145","display_name":"Strain (injury)","level":2,"score":0.35089999437332153},{"id":"https://openalex.org/C41999313","wikidata":"https://www.wikidata.org/wiki/Q489328","display_name":"Molecular physics","level":1,"score":0.34279999136924744},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3407999873161316},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.3361000120639801},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.32850000262260437},{"id":"https://openalex.org/C96035792","wikidata":"https://www.wikidata.org/wiki/Q43606218","display_name":"Shear (geology)","level":2,"score":0.32659998536109924},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.295199990272522},{"id":"https://openalex.org/C186541917","wikidata":"https://www.wikidata.org/wiki/Q910483","display_name":"Viscoelasticity","level":2,"score":0.29429998993873596},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.2849000096321106},{"id":"https://openalex.org/C149342994","wikidata":"https://www.wikidata.org/wiki/Q3181055","display_name":"Strain rate","level":2,"score":0.2766999900341034},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.2662000060081482},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26350000500679016},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.2526000142097473},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.25029999017715454}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.26434/chemrxiv.15011597/v1","doi":"https://doi.org/10.26434/chemrxiv.15011597/v1","is_oa":true,"landing_page_url":"https://doi.org/10.26434/chemrxiv.15011597/v1","pdf_url":"https://chemrxiv.org/doi/pdf/10.26434/chemrxiv.15011597/v1","source":{"id":"https://openalex.org/S4393918830","display_name":"ChemRxiv","issn_l":"2573-2293","issn":["2573-2293"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.26434/chemrxiv.15011597/v1","doi":"https://doi.org/10.26434/chemrxiv.15011597/v1","is_oa":true,"landing_page_url":"https://doi.org/10.26434/chemrxiv.15011597/v1","pdf_url":"https://chemrxiv.org/doi/pdf/10.26434/chemrxiv.15011597/v1","source":{"id":"https://openalex.org/S4393918830","display_name":"ChemRxiv","issn_l":"2573-2293","issn":["2573-2293"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334322","display_name":"HORIZON EUROPE Framework Programme","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7225152107.pdf","grobid_xml":"https://content.openalex.org/works/W7225152107.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W157801197","https://openalex.org/W1562141436","https://openalex.org/W1825203116","https://openalex.org/W1974029264","https://openalex.org/W1974286998","https://openalex.org/W1982131599","https://openalex.org/W1990574468","https://openalex.org/W1994085504","https://openalex.org/W2005511156","https://openalex.org/W2023823763","https://openalex.org/W2028202620","https://openalex.org/W2060712580","https://openalex.org/W2070281968","https://openalex.org/W2078009248","https://openalex.org/W2078317728","https://openalex.org/W2079779970","https://openalex.org/W2085524801","https://openalex.org/W2092387963","https://openalex.org/W2107009333","https://openalex.org/W2113323860","https://openalex.org/W2125583706","https://openalex.org/W2142346695","https://openalex.org/W2254980651","https://openalex.org/W2269419934","https://openalex.org/W2275925911","https://openalex.org/W2283334137","https://openalex.org/W2293998527","https://openalex.org/W2299769179","https://openalex.org/W2325257958","https://openalex.org/W2326046110","https://openalex.org/W2604885505","https://openalex.org/W2892484329","https://openalex.org/W2972519363","https://openalex.org/W3214776312","https://openalex.org/W4312071121","https://openalex.org/W4366976978","https://openalex.org/W4382657791","https://openalex.org/W4389913164","https://openalex.org/W4393927795","https://openalex.org/W4402596660","https://openalex.org/W4413767452","https://openalex.org/W4414384811","https://openalex.org/W7168177421","https://openalex.org/W7211925734"],"related_works":["https://openalex.org/W2897343983","https://openalex.org/W4244873001","https://openalex.org/W2269419934","https://openalex.org/W2254980651","https://openalex.org/W1974029264","https://openalex.org/W2605070682","https://openalex.org/W7214724681","https://openalex.org/W4310073423","https://openalex.org/W2622959263","https://openalex.org/W2090009098"],"abstract_inverted_index":{"Carbon-black-filled":[0],"nitrile":[1],"butadiene":[2],"rubber":[3],"(NBR)":[4],"exhibits":[5],"two":[6,155],"maxima":[7,157],"in":[8,101,173],"its":[9,95],"nonlinear":[10,156],"oscillatory":[11],"response,":[12],"quantified":[13],"here":[14],"by":[15,114,132,137],"a":[16,52,99],"Fourier-based":[17],"Nonlinearity":[18],"Index":[19],"(NLI).":[20],"The":[21],"higher-strain":[22],"Peak":[23,35,71,106],"I":[24,72],"is":[25,43,108],"inherited":[26],"from":[27,63,74,146],"the":[28,33,57,61,66,75,102,126,147,154],"neat":[29],"long-chain-branched":[30],"matrix,":[31],"whereas":[32],"lower-strain":[34],"II":[36,107],"appears":[37],"only":[38],"after":[39],"filler":[40],"addition":[41],"and":[42,80,93,162,170],"markedly":[44],"more":[45],"sensitive":[46],"to":[47,89,110,158],"carbon-black":[48],"grade.":[49],"We":[50],"use":[51],"molecular":[53,160],"description":[54],"that":[55],"separates":[56],"intrinsic":[58],"dynamics":[59],"of":[60,65,128],"matrix":[62,169],"those":[64],"dynamically":[67],"active":[68],"boundrubber":[69],"population.":[70],"arises":[73],"competition":[76],"between":[77],"backbone":[78],"orientation":[79],"delayed":[81],"arm":[82],"retraction;":[83],"matrix\u2013adsorbed":[84],"constraints":[85],"shift":[86],"this":[87,129],"maximum":[88],"lower":[90],"imposed":[91],"strain":[92],"attenuate":[94],"amplitude":[96],"without":[97],"requiring":[98],"change":[100],"underlying":[103],"arm-retraction":[104],"mechanism.":[105],"assigned":[109],"collective":[111],"memory":[112],"carried":[113],"adsorbed":[115],"polymer":[116],"associated":[117],"with":[118],"neighboring":[119],"aggregate":[120],"environments.":[121],"Two":[122],"limiting":[123],"mechanisms":[124],"for":[125,167],"loss":[127],"interfacial":[130,138,171],"memory\u2014controlled":[131],"local":[133],"shear":[134],"rate":[135],"or":[136],"deformation\u2014predict":[139],"distinct":[140],"frequency":[141],"dependences":[142],"but":[143],"are":[144],"indistinguishable":[145],"available":[148],"single-frequency":[149],"measurements.":[150],"This":[151],"picture":[152],"connects":[153],"different":[159],"populations":[161],"suggests":[163],"direct":[164],"multi-frequency":[165],"tests":[166],"separating":[168],"contributions":[172],"filled":[174],"NBR.":[175]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-11-04T00:00:00"}