{"id":"https://openalex.org/W2518651693","doi":"https://doi.org/10.1137/15m1046563","title":"Guaranteed Upper and Lower Bounds on the Uniform Load of Contact Problems in Elasticity","display_name":"Guaranteed Upper and Lower Bounds on the Uniform Load of Contact Problems in Elasticity","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2518651693","doi":"https://doi.org/10.1137/15m1046563","mag":"2518651693"},"language":"en","primary_location":{"id":"doi:10.1137/15m1046563","is_oa":true,"landing_page_url":"https://doi.org/10.1137/15m1046563","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/15M1046563","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://epubs.siam.org/doi/pdf/10.1137/15M1046563","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008398355","display_name":"L. Angela Mihai","orcid":"https://orcid.org/0000-0003-0863-3729"},"institutions":[{"id":"https://openalex.org/I79510175","display_name":"Cardiff University","ror":"https://ror.org/03kk7td41","country_code":"GB","type":"education","lineage":["https://openalex.org/I79510175"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"L. Angela Mihai","raw_affiliation_strings":["School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, CF24 4AG, UK,"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, CF24 4AG, UK,","institution_ids":["https://openalex.org/I79510175"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007417082","display_name":"Alain Goriely","orcid":"https://orcid.org/0000-0002-6436-8483"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Alain Goriely","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Woodstock Road, Oxford, OX2 6GG, UK,"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Woodstock Road, Oxford, OX2 6GG, UK,","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007417082"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":null,"apc_paid":{"value":2197,"currency":"EUR","value_usd":2369},"fwci":0.7237,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.76045616,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"76","issue":"4","first_page":"1558","last_page":"1576"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9997000098228455,"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":0.9991999864578247,"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"}},{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperelastic-material","display_name":"Hyperelastic material","score":0.8579902648925781},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.752405047416687},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6456587910652161},{"id":"https://openalex.org/keywords/enclosure","display_name":"Enclosure","score":0.6285361051559448},{"id":"https://openalex.org/keywords/elastic-energy","display_name":"Elastic energy","score":0.5477045774459839},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5447878837585449},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45281875133514404},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.441054105758667},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2564712166786194},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18496006727218628},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1704425811767578},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.1636231243610382},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1246362030506134},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.0853060781955719},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06511548161506653}],"concepts":[{"id":"https://openalex.org/C147370603","wikidata":"https://www.wikidata.org/wiki/Q3801506","display_name":"Hyperelastic material","level":3,"score":0.8579902648925781},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.752405047416687},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6456587910652161},{"id":"https://openalex.org/C98375054","wikidata":"https://www.wikidata.org/wiki/Q442709","display_name":"Enclosure","level":2,"score":0.6285361051559448},{"id":"https://openalex.org/C14041564","wikidata":"https://www.wikidata.org/wiki/Q891408","display_name":"Elastic energy","level":2,"score":0.5477045774459839},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5447878837585449},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45281875133514404},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.441054105758667},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2564712166786194},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18496006727218628},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1704425811767578},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1636231243610382},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1246362030506134},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0853060781955719},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06511548161506653},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/15m1046563","is_oa":true,"landing_page_url":"https://doi.org/10.1137/15m1046563","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/15M1046563","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:https://orca.cardiff.ac.uk:90118","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401195","display_name":"ORCA Online Research @Cardiff (Cardiff University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79510175","host_organization_name":"Cardiff University","host_organization_lineage":["https://openalex.org/I79510175"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1608.04612","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1608.04612","pdf_url":"https://arxiv.org/pdf/1608.04612","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:54e77238-fa1f-43d5-9905-0a075d76e898","is_oa":true,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:54e77238-fa1f-43d5-9905-0a075d76e898","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements at Oxford","raw_type":"Journal article"}],"best_oa_location":{"id":"doi:10.1137/15m1046563","is_oa":true,"landing_page_url":"https://doi.org/10.1137/15m1046563","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/15M1046563","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5401169426","display_name":null,"funder_award_id":"EP/M011992/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8066798058","display_name":"Limit Analysis of Collapse States in Cellular Solids","funder_award_id":"EP/M011992/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2518651693.pdf","grobid_xml":"https://content.openalex.org/works/W2518651693.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W94238418","https://openalex.org/W157435084","https://openalex.org/W606079047","https://openalex.org/W1520204308","https://openalex.org/W1765556586","https://openalex.org/W1876521012","https://openalex.org/W1964244849","https://openalex.org/W1969642316","https://openalex.org/W1970410597","https://openalex.org/W1979937900","https://openalex.org/W2004218694","https://openalex.org/W2004326643","https://openalex.org/W2005781236","https://openalex.org/W2008789543","https://openalex.org/W2014097063","https://openalex.org/W2035845219","https://openalex.org/W2040971593","https://openalex.org/W2060248455","https://openalex.org/W2061175874","https://openalex.org/W2064620506","https://openalex.org/W2073590497","https://openalex.org/W2074158899","https://openalex.org/W2089880369","https://openalex.org/W2108354000","https://openalex.org/W2133946902","https://openalex.org/W2137320015","https://openalex.org/W2140713541","https://openalex.org/W2146202010","https://openalex.org/W2149622131","https://openalex.org/W2151135147","https://openalex.org/W2165693293","https://openalex.org/W2175465835","https://openalex.org/W2325665345","https://openalex.org/W2994224179","https://openalex.org/W3022266510","https://openalex.org/W4211175514","https://openalex.org/W4231269780","https://openalex.org/W4292341421","https://openalex.org/W4292993127","https://openalex.org/W4299968561"],"related_works":["https://openalex.org/W4318070857","https://openalex.org/W4289888891","https://openalex.org/W2353996222","https://openalex.org/W2054885914","https://openalex.org/W3032419129","https://openalex.org/W4251121595","https://openalex.org/W4250461743","https://openalex.org/W4320198705","https://openalex.org/W4311769922","https://openalex.org/W4388514476"],"abstract_inverted_index":{"Two":[0],"mathematical":[1],"models":[2],"are":[3,62],"developed":[4],"within":[5],"the":[6,14,22,48,58,69,75,80],"theoretical":[7],"framework":[8],"of":[9,16,26,50,60],"large":[10],"strain":[11,24],"elasticity":[12],"for":[13],"determination":[15],"upper":[17],"and":[18],"lower":[19],"bounds":[20],"on":[21,68,74],"total":[23],"energy":[25],"a":[27,36],"finitely":[28],"deformed":[29],"hyperelastic":[30],"body":[31],"in":[32],"unilateral":[33],"contact":[34,81],"with":[35,40,55],"rigid":[37],"surface":[38,77],"or":[39],"an":[41,66],"elastic":[42],"substrate.":[43],"The":[44],"model":[45],"problems":[46,54],"take":[47],"form":[49],"two":[51],"continuous":[52],"optimization":[53],"inequality":[56],"constraints,":[57],"solutions":[59],"which":[61],"used":[63],"to":[64],"provide":[65],"enclosure":[67],"uniform":[70],"external":[71],"load":[72],"acting":[73],"body's":[76],"away":[78],"from":[79],"zone.":[82]},"counts_by_year":[{"year":2017,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
