{"id":"https://openalex.org/W2153489395","doi":"https://doi.org/10.1002/pol.1970.160081203","title":"A theory of die\u2010swell","display_name":"A theory of die\u2010swell","publication_year":1970,"publication_date":"1970-12-01","ids":{"openalex":"https://openalex.org/W2153489395","doi":"https://doi.org/10.1002/pol.1970.160081203","mag":"2153489395"},"language":"en","primary_location":{"id":"doi:10.1002/pol.1970.160081203","doi":"https://doi.org/10.1002/pol.1970.160081203","is_oa":false,"landing_page_url":"https://doi.org/10.1002/pol.1970.160081203","pdf_url":null,"source":{"id":"https://openalex.org/S4210227922","display_name":"Journal of Polymer Science Part A-2 Polymer Physics","issn_l":"0449-2978","issn":["0449-2978","1542-9377"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Polymer Science Part A-2: Polymer Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031392176","display_name":"Roger Ian Tanner","orcid":"https://orcid.org/0000-0003-1365-6052","observed_orcids":["https://orcid.org/0000-0003-1365-6052"]},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"R. I. Tanner","raw_affiliation_strings":["Division of Engineering, Brown University, Providence, Rhode Island 02912"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Engineering, Brown University, Providence, Rhode Island 02912","institution_ids":["https://openalex.org/I27804330"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031392176"],"corresponding_institution_ids":["https://openalex.org/I27804330"],"apc_list":null,"apc_paid":null,"fwci":3.6282,"has_fulltext":false,"cited_by_count":369,"citation_normalized_percentile":{"value":0.93688451,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"8","issue":"12","first_page":"2067","last_page":"2078"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":1.0,"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":1.0,"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/T12080","display_name":"Injection Molding Process and Properties","score":9.999999747378752e-05,"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/T10389","display_name":"Polymer crystallization and properties","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2507","display_name":"Polymers and Plastics"},"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/die-swell","display_name":"die swell","score":0.9879999756813049},{"id":"https://openalex.org/keywords/polymer-melts","display_name":"polymer melts","score":0.5839999914169312},{"id":"https://openalex.org/keywords/polymer-solutions","display_name":"polymer solutions","score":0.9620000123977661},{"id":"https://openalex.org/keywords/swelling-ratio","display_name":"swelling ratio","score":0.753000020980835},{"id":"https://openalex.org/keywords/first-normal-stress-difference","display_name":"first normal stress difference","score":0.9810000061988831},{"id":"https://openalex.org/keywords/shear-stress","display_name":"shear stress","score":0.6230000257492065},{"id":"https://openalex.org/keywords/polymer-rheology","display_name":"polymer rheology","score":0.6520000100135803}],"concepts":[{"id":"https://openalex.org/C108628306","wikidata":"https://www.wikidata.org/wiki/Q185411","display_name":"Swell","level":2,"score":0.7730847597122192},{"id":"https://openalex.org/C2778540859","wikidata":"https://www.wikidata.org/wiki/Q152234","display_name":"Swelling","level":2,"score":0.731002926826477},{"id":"https://openalex.org/C111106434","wikidata":"https://www.wikidata.org/wiki/Q1072430","display_name":"Die (integrated circuit)","level":2,"score":0.6999607086181641},{"id":"https://openalex.org/C21141959","wikidata":"https://www.wikidata.org/wiki/Q657936","display_name":"Shear stress","level":2,"score":0.5675625801086426},{"id":"https://openalex.org/C201661490","wikidata":"https://www.wikidata.org/wiki/Q1774143","display_name":"Cube root","level":2,"score":0.5534402132034302},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.517607569694519},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.5151809453964233},{"id":"https://openalex.org/C96035792","wikidata":"https://www.wikidata.org/wiki/Q43606218","display_name":"Shear (geology)","level":2,"score":0.46417877078056335},{"id":"https://openalex.org/C18337273","wikidata":"https://www.wikidata.org/wiki/Q1590264","display_name":"Die swell","level":3,"score":0.4570264518260956},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.42964741587638855},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3945419490337372},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3290976881980896},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2935963273048401},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2545558214187622},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20791903138160706},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0510430634021759},{"id":"https://openalex.org/C2778958987","wikidata":"https://www.wikidata.org/wiki/Q139143","display_name":"Extrusion","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/pol.1970.160081203","doi":"https://doi.org/10.1002/pol.1970.160081203","is_oa":false,"landing_page_url":"https://doi.org/10.1002/pol.1970.160081203","pdf_url":null,"source":{"id":"https://openalex.org/S4210227922","display_name":"Journal of Polymer Science Part A-2 Polymer Physics","issn_l":"0449-2978","issn":["0449-2978","1542-9377"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Polymer Science Part A-2: Polymer Physics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1983290285","https://openalex.org/W2016697318","https://openalex.org/W2026491731","https://openalex.org/W2031685609","https://openalex.org/W2033495010","https://openalex.org/W2054485231","https://openalex.org/W2058518864","https://openalex.org/W2068783474","https://openalex.org/W2071950657","https://openalex.org/W2077287258","https://openalex.org/W2077780378","https://openalex.org/W2079007470","https://openalex.org/W2169628138","https://openalex.org/W4213096528"],"related_works":["https://openalex.org/W2121702689","https://openalex.org/W2080041237","https://openalex.org/W2081745802","https://openalex.org/W3140085979","https://openalex.org/W2261833388","https://openalex.org/W2041050289","https://openalex.org/W2367368297","https://openalex.org/W2011703225","https://openalex.org/W2085334667","https://openalex.org/W2036421559"],"abstract_inverted_index":{"Abstract":[0],"An":[1],"elastic\u2010fluid":[2],"theory":[3,12],"of":[4,26,32],"die\u2010swell":[5],"for":[6,23,73,79],"long":[7],"dies":[8],"is":[9,45,59],"presented.":[10],"The":[11],"predicts":[13],"a":[14],"swelling":[15],"ratio":[16,51],"D":[17,63,69],"e":[18,64,70],"/":[19,65,71],"d":[20,66,72],"asymptotically":[21],"proportional,":[22],"large":[24],"values":[25],"swelling,":[27],"to":[28,47],"the":[29,33,38,42,50],"cube":[30],"root":[31],"recoverable":[34,43],"shear":[35,44],"evaluated":[36],"at":[37],"die":[39],"wall.":[40],"Here":[41],"defined":[46],"be":[48],"half":[49],"(first":[52],"normal":[53],"stress":[54],"difference/shear":[55],"stress).":[56],"Excellent":[57],"agreement":[58],"shown":[60],"between":[61],"predicted":[62],"and":[67,77],"measured":[68],"experiments":[74],"on":[75],"melts":[76],"solutions":[78],"which":[80],"adequate":[81],"data":[82],"are":[83],"available.":[84]},"counts_by_year":[{"year":2026,"cited_by_count":19},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":15},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":4}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
