{"id":"https://openalex.org/W2056471782","doi":"https://doi.org/10.2478/v10006-012-0020-y","title":"Topology optimization of quasistatic contact problems","display_name":"Topology optimization of quasistatic contact problems","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2056471782","doi":"https://doi.org/10.2478/v10006-012-0020-y","mag":"2056471782"},"language":"en","primary_location":{"id":"doi:10.2478/v10006-012-0020-y","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-012-0020-y","pdf_url":null,"source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.2478/v10006-012-0020-y","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5105903191","display_name":"Andrzej My\u015bli\u0144ski","orcid":null},"institutions":[{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]},{"id":"https://openalex.org/I66083562","display_name":"Systems Research Institute","ror":"https://ror.org/0111cp837","country_code":"PL","type":"facility","lineage":["https://openalex.org/I66083562","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Andrzej My\u015bli\u0144ski","raw_affiliation_strings":["Systems Research Institute, Polish Academy of Sciences, Ul. Newelska 6, 01-447 Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Systems Research Institute, Polish Academy of Sciences, Ul. Newelska 6, 01-447 Warsaw, Poland","institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5105903191"],"corresponding_institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":0.6922,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.71847901,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"22","issue":"2","first_page":"269","last_page":"280"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9998999834060669,"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":0.9998999834060669,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9997000098228455,"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9943000078201294,"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/quasistatic-process","display_name":"Quasistatic process","score":0.9351905584335327},{"id":"https://openalex.org/keywords/topology-optimization","display_name":"Topology optimization","score":0.8307053446769714},{"id":"https://openalex.org/keywords/shape-optimization","display_name":"Shape optimization","score":0.592893123626709},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5878675580024719},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5546256899833679},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4997744560241699},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.46293941140174866},{"id":"https://openalex.org/keywords/contact-mechanics","display_name":"Contact mechanics","score":0.4606819748878479},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.4518754184246063},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4420258104801178},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.4412393867969513},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4241301417350769},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.41579926013946533},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34257906675338745},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.20505404472351074},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.13800597190856934},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11696439981460571},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09821748733520508}],"concepts":[{"id":"https://openalex.org/C4708273","wikidata":"https://www.wikidata.org/wiki/Q900222","display_name":"Quasistatic process","level":2,"score":0.9351905584335327},{"id":"https://openalex.org/C189216461","wikidata":"https://www.wikidata.org/wiki/Q2443456","display_name":"Topology optimization","level":3,"score":0.8307053446769714},{"id":"https://openalex.org/C29513896","wikidata":"https://www.wikidata.org/wiki/Q7489239","display_name":"Shape optimization","level":3,"score":0.592893123626709},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5878675580024719},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5546256899833679},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4997744560241699},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.46293941140174866},{"id":"https://openalex.org/C179909247","wikidata":"https://www.wikidata.org/wiki/Q1783143","display_name":"Contact mechanics","level":3,"score":0.4606819748878479},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.4518754184246063},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4420258104801178},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.4412393867969513},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4241301417350769},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.41579926013946533},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34257906675338745},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.20505404472351074},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.13800597190856934},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11696439981460571},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09821748733520508},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2478/v10006-012-0020-y","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-012-0020-y","pdf_url":null,"source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.390.6853","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.390.6853","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://matwbn.icm.edu.pl/ksiazki/amc/amc22/amc2223.pdf","raw_type":"text"},{"id":"pmh:oai:zbc.uz.zgora.pl:46980","is_oa":false,"landing_page_url":"https://zbc.uz.zgora.pl/dlibra/docmetadata?showContent=true&id=46980","pdf_url":null,"source":{"id":"https://openalex.org/S4306400400","display_name":"Digital library of Zielona Gora (University of Zielona G\u00f3ra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I46305939","host_organization_name":"University of Zielona G\u00f3ra","host_organization_lineage":["https://openalex.org/I46305939"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.amcs.uz.zgora.pl/?action=paper&paper=611","raw_type":"artyku\u0142"}],"best_oa_location":{"id":"doi:10.2478/v10006-012-0020-y","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-012-0020-y","pdf_url":null,"source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W194464973","https://openalex.org/W251471697","https://openalex.org/W601812573","https://openalex.org/W1460080534","https://openalex.org/W1490112587","https://openalex.org/W1496001907","https://openalex.org/W1516415680","https://openalex.org/W1575923498","https://openalex.org/W1584280986","https://openalex.org/W1970427994","https://openalex.org/W1976893916","https://openalex.org/W1982739078","https://openalex.org/W1987709406","https://openalex.org/W1993374148","https://openalex.org/W1993608133","https://openalex.org/W1995067704","https://openalex.org/W2010852247","https://openalex.org/W2016413885","https://openalex.org/W2030050410","https://openalex.org/W2040466777","https://openalex.org/W2060654491","https://openalex.org/W2061502567","https://openalex.org/W2067860458","https://openalex.org/W2080652314","https://openalex.org/W2093390931","https://openalex.org/W2094251381","https://openalex.org/W2095769854","https://openalex.org/W2113379360","https://openalex.org/W2334085302","https://openalex.org/W2339062294","https://openalex.org/W3142828186","https://openalex.org/W4214498954","https://openalex.org/W4236632459","https://openalex.org/W4293183906"],"related_works":["https://openalex.org/W2626393126","https://openalex.org/W2225569501","https://openalex.org/W2658832254","https://openalex.org/W2644691884","https://openalex.org/W2742882971","https://openalex.org/W2323997591","https://openalex.org/W2315862940","https://openalex.org/W4293073070","https://openalex.org/W4380321789","https://openalex.org/W2901479896"],"abstract_inverted_index":{"Topology":[0],"optimization":[1,20,66],"of":[2,12,63,111,135,144],"quasistatic":[3,34,138],"contact":[4,25,35,53,86,101,105],"problems":[5],"This":[6],"paper":[7,32],"deals":[8],"with":[9,27,87],"the":[10,31,46,51,58,64,72,82,88,93,99,104,112,120,130,133,141,145],"formulation":[11],"a":[13,18,33,41,77,151],"necessary":[14,152],"optimality":[15,153],"condition":[16,154],"for":[17,22,97],"topology":[19,65],"problem":[21,26,67],"an":[23],"elastic":[24],"Tresca":[28],"friction.":[29],"In":[30],"model":[36],"is":[37,55,69,107,114,148,155],"considered,":[38],"rather":[39],"than":[40],"stationary":[42],"one":[43],"used":[44],"in":[45,84],"literature.":[47],"The":[48,61,109],"functional":[49,147],"approximating":[50],"normal":[52,100],"stress":[54,102],"chosen":[56],"as":[57,127,129],"shape":[59,146],"functional.":[60],"aim":[62],"considered":[68],"to":[70,91,116,137],"find":[71],"optimal":[73],"material":[74,121],"distribution":[75],"inside":[76],"design":[78],"domain":[79,96],"occupied":[80],"by":[81],"body":[83,113],"unilateral":[85],"rigid":[89],"foundation":[90],"obtain":[92],"optimally":[94],"shaped":[95],"which":[98],"along":[103],"boundary":[106],"minimized.":[108],"volume":[110],"assumed":[115],"be":[117],"bounded.":[118],"Using":[119],"derivative":[122,143],"and":[123,150],"asymptotic":[124],"expansion":[125],"methods":[126],"well":[128],"results":[131],"concerning":[132],"differentiability":[134],"solutions":[136],"variational":[139],"inequalities,":[140],"topological":[142],"calculated":[149],"formulated.":[156]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}