{"id":"https://openalex.org/W2042258996","doi":"https://doi.org/10.1137/070708202","title":"Quasi-static Evolution for a Model in Strain Gradient Plasticity","display_name":"Quasi-static Evolution for a Model in Strain Gradient Plasticity","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2042258996","doi":"https://doi.org/10.1137/070708202","mag":"2042258996"},"language":"en","primary_location":{"id":"doi:10.1137/070708202","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070708202","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","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/A5021263907","display_name":"Alessandro Giacomini","orcid":"https://orcid.org/0000-0001-5193-3933"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Alessandro Giacomini","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5034214738","display_name":"Luca Lussardi","orcid":"https://orcid.org/0000-0001-9130-3573"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Luca Lussardi","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021263907"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0488,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.75780059,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"40","issue":"3","first_page":"1201","last_page":"1245"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11646","display_name":"Nonlocal and gradient elasticity in micro/nano structures","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11646","display_name":"Nonlocal and gradient elasticity in micro/nano structures","score":0.9997000098228455,"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9824000000953674,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.9811999797821045,"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/plasticity","display_name":"Plasticity","score":0.8276571035385132},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.7208979725837708},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6948105096817017},{"id":"https://openalex.org/keywords/conservative-vector-field","display_name":"Conservative vector field","score":0.6112999320030212},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.546535849571228},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5403113961219788},{"id":"https://openalex.org/keywords/strain-rate","display_name":"Strain rate","score":0.5007386207580566},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.47925662994384766},{"id":"https://openalex.org/keywords/quasistatic-process","display_name":"Quasistatic process","score":0.420871764421463},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.2715749442577362},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1752113401889801},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.14273568987846375},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06411322951316833}],"concepts":[{"id":"https://openalex.org/C79186407","wikidata":"https://www.wikidata.org/wiki/Q472074","display_name":"Plasticity","level":2,"score":0.8276571035385132},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.7208979725837708},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6948105096817017},{"id":"https://openalex.org/C147457402","wikidata":"https://www.wikidata.org/wiki/Q1588205","display_name":"Conservative vector field","level":3,"score":0.6112999320030212},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.546535849571228},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5403113961219788},{"id":"https://openalex.org/C149342994","wikidata":"https://www.wikidata.org/wiki/Q3181055","display_name":"Strain rate","level":2,"score":0.5007386207580566},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.47925662994384766},{"id":"https://openalex.org/C4708273","wikidata":"https://www.wikidata.org/wiki/Q900222","display_name":"Quasistatic process","level":2,"score":0.420871764421463},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2715749442577362},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1752113401889801},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.14273568987846375},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06411322951316833},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/070708202","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070708202","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:iris.unibs.it:11379/22899","is_oa":false,"landing_page_url":"http://hdl.handle.net/11379/22899","pdf_url":null,"source":{"id":"https://openalex.org/S4306400804","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Brescia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:porto.polito.it:1874364","is_oa":false,"landing_page_url":"http://porto.polito.it/1874364/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0036-1410","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W135694094","https://openalex.org/W1970197250","https://openalex.org/W1972673513","https://openalex.org/W1983264166","https://openalex.org/W1989046305","https://openalex.org/W1989646665","https://openalex.org/W2019557486","https://openalex.org/W2022216367","https://openalex.org/W2022814862","https://openalex.org/W2025309403","https://openalex.org/W2027931888","https://openalex.org/W2037394218","https://openalex.org/W2047816899","https://openalex.org/W2047948718","https://openalex.org/W2049058352","https://openalex.org/W2054662694","https://openalex.org/W2056773849","https://openalex.org/W2060272032","https://openalex.org/W2082346574","https://openalex.org/W2082641426","https://openalex.org/W2096165789","https://openalex.org/W2098048629","https://openalex.org/W2129224265"],"related_works":["https://openalex.org/W4287991415","https://openalex.org/W2995334020","https://openalex.org/W3028984167","https://openalex.org/W2475561107","https://openalex.org/W2129915709","https://openalex.org/W1977935000","https://openalex.org/W2004136284","https://openalex.org/W1943925953","https://openalex.org/W2792049179","https://openalex.org/W2042258996"],"abstract_inverted_index":{"We":[0],"prove":[1],"the":[2,34,44,48,51,61],"existence":[3],"of":[4,33,47],"a":[5,9,63],"quasi-static":[6,64],"evolution":[7,39,49,65],"for":[8],"model":[10],"in":[11,60,66],"strain":[12,52],"gradient":[13,53],"plasticity":[14],"proposed":[15],"by":[16,31],"Gurtin":[17],"and":[18],"Anand":[19],"concerning":[20],"isotropic,":[21],"plastically":[22],"irrotational":[23],"materials":[24],"under":[25],"small":[26],"deformations.":[27],"This":[28],"is":[29],"done":[30],"means":[32],"energetic":[35],"approach":[36],"to":[37,57],"rate-independent":[38],"problems.":[40],"Finally":[41],"we":[42],"study":[43],"asymptotic":[45],"behavior":[46],"as":[50],"length":[54],"scales":[55],"tend":[56],"zero":[58],"recovering":[59],"limit":[62],"perfect":[67],"plasticity.":[68]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
