{"id":"https://openalex.org/W2132228518","doi":"https://doi.org/10.1137/080729992","title":"Thermodynamics of Rate-independent Processes in Viscous Solids at Small Strains","display_name":"Thermodynamics of Rate-independent Processes in Viscous Solids at Small Strains","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2132228518","doi":"https://doi.org/10.1137/080729992","mag":"2132228518"},"language":"en","primary_location":{"id":"doi:10.1137/080729992","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080729992","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/A5078525963","display_name":"Tom\u00e1\u0161 Roub\u0131\u0301\u010dek","orcid":"https://orcid.org/0000-0002-0651-5959"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Tom\u00e1\u0161 Roub\u00ed\u010dek","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078525963"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.2173,"has_fulltext":false,"cited_by_count":77,"citation_normalized_percentile":{"value":0.95701507,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"42","issue":"1","first_page":"256","last_page":"297"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9995999932289124,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T13261","display_name":"Elasticity and Wave Propagation","score":0.9983999729156494,"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/mathematics","display_name":"Mathematics","score":0.6563924551010132},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.49448275566101074},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.4774494767189026},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4371332824230194},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.41978174448013306},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.37866753339767456},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26461848616600037}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6563924551010132},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.49448275566101074},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.4774494767189026},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4371332824230194},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.41978174448013306},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.37866753339767456},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26461848616600037},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/080729992","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080729992","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:asep.lib.cas.cz:CavUnEpca/0340532","is_oa":false,"landing_page_url":"http://hdl.handle.net/11104/0183747","pdf_url":null,"source":{"id":"https://openalex.org/S7407055266","display_name":"ASEP","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.6299999952316284}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":71,"referenced_works":["https://openalex.org/W144524916","https://openalex.org/W331534545","https://openalex.org/W650955901","https://openalex.org/W1488249189","https://openalex.org/W1525219438","https://openalex.org/W1597861254","https://openalex.org/W1965256184","https://openalex.org/W1979141268","https://openalex.org/W1980380900","https://openalex.org/W1989046305","https://openalex.org/W1990790612","https://openalex.org/W1993999982","https://openalex.org/W2003735656","https://openalex.org/W2006639778","https://openalex.org/W2006668994","https://openalex.org/W2015902224","https://openalex.org/W2023747041","https://openalex.org/W2023874008","https://openalex.org/W2024403296","https://openalex.org/W2026944148","https://openalex.org/W2028080834","https://openalex.org/W2033478607","https://openalex.org/W2038037174","https://openalex.org/W2039591403","https://openalex.org/W2041400051","https://openalex.org/W2041866580","https://openalex.org/W2044637889","https://openalex.org/W2045069146","https://openalex.org/W2047948718","https://openalex.org/W2052784602","https://openalex.org/W2056777003","https://openalex.org/W2057932257","https://openalex.org/W2061823011","https://openalex.org/W2062250488","https://openalex.org/W2063345219","https://openalex.org/W2063800175","https://openalex.org/W2063887014","https://openalex.org/W2067870911","https://openalex.org/W2071014770","https://openalex.org/W2075060498","https://openalex.org/W2082255209","https://openalex.org/W2082346574","https://openalex.org/W2087227535","https://openalex.org/W2090799250","https://openalex.org/W2090866212","https://openalex.org/W2093992176","https://openalex.org/W2096165789","https://openalex.org/W2098663736","https://openalex.org/W2111028945","https://openalex.org/W2118031691","https://openalex.org/W2118772813","https://openalex.org/W2120271468","https://openalex.org/W2129565196","https://openalex.org/W2132966458","https://openalex.org/W2135077846","https://openalex.org/W2137187711","https://openalex.org/W2155102409","https://openalex.org/W2157769293","https://openalex.org/W2163004136","https://openalex.org/W2167324113","https://openalex.org/W2171648515","https://openalex.org/W2321102547","https://openalex.org/W2352459590","https://openalex.org/W2491432581","https://openalex.org/W2493367582","https://openalex.org/W2562605392","https://openalex.org/W2906801581","https://openalex.org/W2963689079","https://openalex.org/W3088698362","https://openalex.org/W3207433513","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2154204858","https://openalex.org/W3209622820","https://openalex.org/W2382250648","https://openalex.org/W2367363545","https://openalex.org/W2586383879","https://openalex.org/W2067895158","https://openalex.org/W4379507409","https://openalex.org/W2561874146","https://openalex.org/W2066331732","https://openalex.org/W2077468606"],"abstract_inverted_index":{"So-called":[0],"generalized":[1],"standard":[2],"solids":[3],"(of":[4],"the":[5,50,57,144,148],"Halphen\u2013Nguyen":[6],"type)":[7],"involving":[8],"also":[9],"activated":[10],"rate-independent":[11,76],"processes":[12,77],"such":[13],"as":[14,22,45],"plasticity,":[15],"damage,":[16],"or":[17],"phase":[18],"transformations":[19],"are":[20,155],"described":[21],"a":[23,26,31,62,70],"system":[24,53],"of":[25,37,61,73,75,83,92,136,143,147],"momentum":[27],"equilibrium":[28],"equation":[29,150],"and":[30,48,97,103,135,141],"variational":[32],"inequality":[33],"for":[34,130],"inelastic":[35],"evolution":[36],"internal-parameter":[38],"variables.":[39],"The":[40],"stored":[41],"energy":[42],"is":[43,54,67],"considered":[44],"temperature":[46,145],"dependent":[47],"then":[49],"thermodynamically":[51],"consistent":[52],"completed":[55],"with":[56,132,151],"heat-transfer":[58],"equation.":[59],"Existence":[60],"suitably":[63],"defined":[64],"\u201cenergetic\u201d":[65],"solution":[66],"proved":[68],"by":[69,78,139],"nontrivial":[71],"combination":[72],"theory":[74],"Mielke":[79],"et":[80],"al.":[81],"[Handbook":[82],"Differential":[84],"Equations,":[85],"Elsevier,":[86],"Amsterdam,":[87],"2005,":[88],"pp.":[89,111,119,127],"461\u2013559;":[90],"Models":[91],"Continuum":[93],"Mechanics":[94],"in":[95],"Analysis":[96],"Engineering,":[98],"H.-D.":[99],"Alber,":[100],"R.":[101,104],"Balean,":[102],"Farwig,":[105],"eds.,":[106],"Shaker":[107],"Ver.,":[108],"Aachen,":[109],"1999,":[110],"117\u2013129;":[112],"Nonlinear":[113],"Differ.":[114],"Equ.":[115],"Appl.,":[116],"11":[117],"(2004),":[118],"151\u2013189;":[120],"Arch.":[121],"Ration.":[122],"Mech.":[123],"Anal.,":[124],"162":[125],"(2002),":[126],"137\u2013177]":[128],"adapted":[129],"coupling":[131],"viscous/inertial":[133],"effects":[134],"sophisticated":[137],"estimates":[138],"Boccardo":[140],"Gallou\u00ebt":[142],"gradient":[146],"heat":[149],"$L^1$-data.":[152],"Illustrative":[153],"examples":[154],"presented,":[156],"too.":[157]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":8}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}