{"id":"https://openalex.org/W2009986820","doi":"https://doi.org/10.1137/s0036139997322419","title":"Asymptotic and Computational Analysis of Large Shear Deformations of a Thermoplastic Material","display_name":"Asymptotic and Computational Analysis of Large Shear Deformations of a Thermoplastic Material","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2009986820","doi":"https://doi.org/10.1137/s0036139997322419","mag":"2009986820"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139997322419","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139997322419","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","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/A5089749626","display_name":"David A. Edwards","orcid":"https://orcid.org/0000-0001-9313-9551"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"D. A. Edwards","raw_affiliation_strings":["University of Delaware"],"affiliations":[{"raw_affiliation_string":"University of Delaware","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020779987","display_name":"Donald A. French","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. A. French","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089749626"],"corresponding_institution_ids":["https://openalex.org/I86501945"],"apc_list":null,"apc_paid":null,"fwci":1.6205,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.81949631,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"59","issue":"2","first_page":"700","last_page":"724"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11874","display_name":"Structural Response to Dynamic Loads","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11874","display_name":"Structural Response to Dynamic Loads","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11699","display_name":"High-Velocity Impact and Material Behavior","score":0.9975000023841858,"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/T10219","display_name":"Mechanical Behavior of Composites","score":0.9890999794006348,"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/singular-perturbation","display_name":"Singular perturbation","score":0.7078613042831421},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"Asymptotic expansion","score":0.6212792992591858},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.6183123588562012},{"id":"https://openalex.org/keywords/asymptotic-analysis","display_name":"Asymptotic analysis","score":0.5181035399436951},{"id":"https://openalex.org/keywords/thermal-conduction","display_name":"Thermal conduction","score":0.5149579644203186},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.466326504945755},{"id":"https://openalex.org/keywords/strain-rate","display_name":"Strain rate","score":0.45086202025413513},{"id":"https://openalex.org/keywords/shear","display_name":"Shear (geology)","score":0.4290270507335663},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4117371737957001},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.377058744430542},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.33296483755111694},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.19876158237457275},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18628376722335815}],"concepts":[{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.7078613042831421},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.6212792992591858},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6183123588562012},{"id":"https://openalex.org/C205147927","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.5181035399436951},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.5149579644203186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.466326504945755},{"id":"https://openalex.org/C149342994","wikidata":"https://www.wikidata.org/wiki/Q3181055","display_name":"Strain rate","level":2,"score":0.45086202025413513},{"id":"https://openalex.org/C96035792","wikidata":"https://www.wikidata.org/wiki/Q43606218","display_name":"Shear (geology)","level":2,"score":0.4290270507335663},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4117371737957001},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.377058744430542},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.33296483755111694},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.19876158237457275},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18628376722335815},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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:10.1137/s0036139997322419","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139997322419","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.33.8696","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.33.8696","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.uc.edu/~french/papers/EdwardsFrench.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.590.9753","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.590.9753","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.udel.edu/~edwards/download/pubdir/pubj11.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W11218065","https://openalex.org/W289755681","https://openalex.org/W629577728","https://openalex.org/W1988270146","https://openalex.org/W2011094945","https://openalex.org/W2013998647","https://openalex.org/W2026222230","https://openalex.org/W2027498099","https://openalex.org/W2028891267","https://openalex.org/W2037002676","https://openalex.org/W2037718996","https://openalex.org/W2040897197","https://openalex.org/W2047930917","https://openalex.org/W2063956961","https://openalex.org/W2064784823","https://openalex.org/W2069817251","https://openalex.org/W2073125915","https://openalex.org/W2075018418","https://openalex.org/W2079389546","https://openalex.org/W2132905138","https://openalex.org/W2136165755","https://openalex.org/W2162070329","https://openalex.org/W4233825243","https://openalex.org/W4248941716"],"related_works":["https://openalex.org/W2092584480","https://openalex.org/W2387203662","https://openalex.org/W2378338549","https://openalex.org/W2360430533","https://openalex.org/W2604664877","https://openalex.org/W4237069353","https://openalex.org/W2391129349","https://openalex.org/W2061833674","https://openalex.org/W3149739843","https://openalex.org/W193857389"],"abstract_inverted_index":{"Asymptotic":[0],"results":[1],"are":[2,120],"presented":[3],"for":[4,8,60],"a":[5,30],"simplified":[6,42,62],"model":[7,104],"shear-band":[9],"formation":[10],"which":[11,35,77],"neglects":[12],"the":[13,22,37,41,49,55,61,70,91,102,110,126],"effects":[14],"of":[15,21,40,51,54,125],"diffusion":[16],"but":[17,64],"still":[18],"captures":[19,90],"much":[20],"important":[23],"dynamics.":[24],"Regular":[25],"perturbation":[26],"expansions":[27],"fail,":[28],"so":[29],"uniform":[31],"expansion":[32],"is":[33,78],"constructed":[34],"tracks":[36,69],"divergent":[38],"behavior":[39,73],"model.":[43,128],"Severe":[44],"computational":[45],"difficulties":[46],"exist":[47],"in":[48,99],"form":[50],"finite-time":[52],"blowup":[53,72],"temperature":[56],"and":[57,81,85,95,112,118],"strain":[58,96],"rate":[59,97],"model,":[63],"an":[65],"adaptive":[66],"numerical":[67,113],"scheme":[68],"severe":[71,92],"well.":[74],"This":[75],"method,":[76],"second-order":[79],"accurate":[80],"has":[82],"automatic":[83],"mesh-":[84],"time-step":[86],"refinement":[87],"capabilities,":[88],"also":[89],"band":[93],"narrowing":[94],"growth":[98],"solutions":[100,124],"to":[101],"full":[103,127],"with":[105],"heat":[106],"conduction.":[107],"Comparison":[108],"between":[109],"asymptotic":[111,123],"methods":[114],"shows":[115],"good":[116],"agreement,":[117],"remarks":[119],"made":[121],"regarding":[122]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}