{"id":"https://openalex.org/W2112207551","doi":"https://doi.org/10.1186/2213-7467-1-10","title":"On a recursive formulation for solving inverse form finding problems in isotropic elastoplasticity","display_name":"On a recursive formulation for solving inverse form finding problems in isotropic elastoplasticity","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2112207551","doi":"https://doi.org/10.1186/2213-7467-1-10","mag":"2112207551"},"language":"en","primary_location":{"id":"doi:10.1186/2213-7467-1-10","is_oa":true,"landing_page_url":"https://doi.org/10.1186/2213-7467-1-10","pdf_url":"https://amses-journal.springeropen.com/track/pdf/10.1186/2213-7467-1-10","source":{"id":"https://openalex.org/S3034486266","display_name":"Advanced Modeling and Simulation in Engineering Sciences","issn_l":"2213-7467","issn":["2213-7467"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Modeling and Simulation in Engineering Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://amses-journal.springeropen.com/track/pdf/10.1186/2213-7467-1-10","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072506833","display_name":"Sandrine Germain","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Sandrine Germain","raw_affiliation_strings":["University of Erlangen-Nuremberg, Chair of Applied Mechanics, Egerlandstrasse 5, 91058, Erlangen, Germany","University of Erlangen-Nuremberg, Chair of Applied Mechanics, Erlangen, Germany"],"affiliations":[{"raw_affiliation_string":"University of Erlangen-Nuremberg, Chair of Applied Mechanics, Egerlandstrasse 5, 91058, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"University of Erlangen-Nuremberg, Chair of Applied Mechanics, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111493654","display_name":"Philipp Landkammer","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Philipp Landkammer","raw_affiliation_strings":["University of Erlangen-Nuremberg, Chair of Applied Mechanics, Egerlandstrasse 5, 91058, Erlangen, Germany","University of Erlangen-Nuremberg, Chair of Applied Mechanics, Erlangen, Germany"],"affiliations":[{"raw_affiliation_string":"University of Erlangen-Nuremberg, Chair of Applied Mechanics, Egerlandstrasse 5, 91058, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"University of Erlangen-Nuremberg, Chair of Applied Mechanics, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055353787","display_name":"Paul Steinmann","orcid":"https://orcid.org/0000-0003-1490-947X"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Paul Steinmann","raw_affiliation_strings":["University of Erlangen-Nuremberg, Chair of Applied Mechanics, Egerlandstrasse 5, 91058, Erlangen, Germany","University of Erlangen-Nuremberg, Chair of Applied Mechanics, Erlangen, Germany"],"affiliations":[{"raw_affiliation_string":"University of Erlangen-Nuremberg, Chair of Applied Mechanics, Egerlandstrasse 5, 91058, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"University of Erlangen-Nuremberg, Chair of Applied Mechanics, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072506833"],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":{"value":990,"currency":"GBP","value_usd":1214},"apc_paid":{"value":990,"currency":"GBP","value_usd":1214},"fwci":4.0471,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.93109598,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"1","issue":"1","first_page":"10","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9993000030517578,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9991000294685364,"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/T11558","display_name":"Composite Material Mechanics","score":0.9986000061035156,"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/isotropy","display_name":"Isotropy","score":0.7625665664672852},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.693074643611908},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6513535380363464},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6384375691413879},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5803717970848083},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5036863684654236},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.4586403965950012},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.448927104473114},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44105976819992065},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.42872732877731323},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42478853464126587},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25188034772872925},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21814453601837158},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1931573450565338},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1265667974948883}],"concepts":[{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.7625665664672852},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.693074643611908},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6513535380363464},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6384375691413879},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5803717970848083},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5036863684654236},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.4586403965950012},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.448927104473114},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44105976819992065},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.42872732877731323},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42478853464126587},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25188034772872925},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21814453601837158},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1931573450565338},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1265667974948883},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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":2,"locations":[{"id":"doi:10.1186/2213-7467-1-10","is_oa":true,"landing_page_url":"https://doi.org/10.1186/2213-7467-1-10","pdf_url":"https://amses-journal.springeropen.com/track/pdf/10.1186/2213-7467-1-10","source":{"id":"https://openalex.org/S3034486266","display_name":"Advanced Modeling and Simulation in Engineering Sciences","issn_l":"2213-7467","issn":["2213-7467"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Modeling and Simulation in Engineering Sciences","raw_type":"journal-article"},{"id":"pmh:oai:eprints.gla.ac.uk:192187","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4210235606","display_name":"ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam)","issn_l":"2622-8912","issn":["2622-8912","2622-8920"],"is_oa":false,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Articles"}],"best_oa_location":{"id":"doi:10.1186/2213-7467-1-10","is_oa":true,"landing_page_url":"https://doi.org/10.1186/2213-7467-1-10","pdf_url":"https://amses-journal.springeropen.com/track/pdf/10.1186/2213-7467-1-10","source":{"id":"https://openalex.org/S3034486266","display_name":"Advanced Modeling and Simulation in Engineering Sciences","issn_l":"2213-7467","issn":["2213-7467"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Modeling and Simulation in Engineering Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G365206460","display_name":null,"funder_award_id":"SFB/TR7","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4064624828","display_name":null,"funder_award_id":"SFB/TR","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6052429835","display_name":null,"funder_award_id":"(DFG)","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7349375081","display_name":null,"funder_award_id":"SFB/TR73","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2112207551.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W44647132","https://openalex.org/W153956814","https://openalex.org/W176293993","https://openalex.org/W1890932009","https://openalex.org/W1928709048","https://openalex.org/W1963534150","https://openalex.org/W1977803348","https://openalex.org/W1987987380","https://openalex.org/W2007640008","https://openalex.org/W2024184462","https://openalex.org/W2028463963","https://openalex.org/W2034161819","https://openalex.org/W2035419632","https://openalex.org/W2040486503","https://openalex.org/W2047488451","https://openalex.org/W2055968576","https://openalex.org/W2063751888","https://openalex.org/W2067898272","https://openalex.org/W2071246152","https://openalex.org/W2072660839","https://openalex.org/W2077413241","https://openalex.org/W2080775733","https://openalex.org/W2089592971","https://openalex.org/W2092619062","https://openalex.org/W2098949420","https://openalex.org/W2134968764","https://openalex.org/W2160139517","https://openalex.org/W2161163715","https://openalex.org/W2162884561","https://openalex.org/W2477424666","https://openalex.org/W2602553890","https://openalex.org/W2796873759","https://openalex.org/W2948274645","https://openalex.org/W2992566684","https://openalex.org/W3101250922","https://openalex.org/W3148465934"],"related_works":["https://openalex.org/W2794789911","https://openalex.org/W4298134547","https://openalex.org/W2122976425","https://openalex.org/W2088773039","https://openalex.org/W2284229495","https://openalex.org/W2028697747","https://openalex.org/W4382753160","https://openalex.org/W2331917905","https://openalex.org/W3155039083","https://openalex.org/W1970914699"],"abstract_inverted_index":{"Inverse":[0],"form":[1,58],"finding":[2,59],"methods":[3],"allow":[4],"conceiving":[5],"the":[6,26,29,38,73,78,85,90,93,109,116,129,134,137,141,146,152,155,163,168,176,179,199,211,221,224,232,243,246,248,267,276,286,305,308],"design":[7],"of":[8,25,41,89,95,133,145,154,171,178,213,223,235,245,269,320],"functional":[9,27,147],"components":[10],"in":[11,72,118,196],"less":[12,253,256],"time":[13,258],"and":[14,32,37,167,206,255,311],"at":[15,175,220,242],"lower":[16],"costs":[17],"than":[18,259],"with":[19,92,128,162,260],"direct":[20,103,181],"experiments.":[21],"The":[22,120],"deformed":[23,87,123,131,165,306],"configuration":[24,40,88,124,132,144,166,298],"component,":[28],"applied":[30,83,309],"forces":[31,310],"boundary":[33,312],"conditions":[34,313],"are":[35,291,314],"given":[36],"undeformed":[39,111,143,278,297],"this":[42,47],"component":[43,148],"is":[44,82,106,125,139,149,159,185,189,216,238],"sought.":[45],"In":[46,191],"paper":[48],"we":[49,290],"present":[50],"a":[51,102],"new":[52],"recursive":[53,288],"formulation":[54,70,81,105,158,289],"for":[55,61,266,299,329],"solving":[56],"inverse":[57,68,79,156],"problems":[60],"isotropic":[62,197,300],"elastoplastic":[63,301],"materials,":[64,302],"based":[65],"on":[66,108,275],"an":[67,295],"mechanical":[69,80,104,157],"written":[71],"logarithmic":[74],"strain":[75],"space.":[76],"First,":[77],"to":[84,99,218,240,293,324],"target":[86,130,164],"workpiece":[91],"set":[94,98,212,234,268,319],"internal":[96,172,214,236,270,321],"variables":[97,173,215,237,271,322],"zero.":[100],"Subsequently":[101],"performed":[107],"resulting":[110],"configuration,":[112,279,307],"which":[113],"will":[114],"capture":[115],"path-dependency":[117],"elastoplasticity.":[119],"so":[121],"obtained":[122,174,277],"furthermore":[126],"compared":[127],"component.":[135],"If":[136],"difference":[138],"negligible,":[140],"wanted":[142],"obtained.":[150],"Otherwise":[151],"computation":[153,247],"started":[160],"again":[161],"current":[169],"state":[170],"end":[177],"computed":[180],"formulation.":[182],"This":[183],"process":[184],"continued":[186],"until":[187],"convergence":[188,200,249,281],"reached.":[190],"our":[192],"three":[193],"numerical":[194],"examples":[195],"elastoplasticity,":[198],"was":[201,227,250],"reached":[202,251],"after":[203,252],"five,":[204],"six":[205],"nine":[207],"iterations,":[208],"respectively,":[209],"when":[210,231,303],"initialised":[217,239],"zero":[219,241,325],"beginning":[222,244],"computation.":[225],"It":[226],"also":[228],"found":[229],"that":[230],"initial":[233,317],"iterations":[254],"computational":[257],"other":[261],"values.":[262],"Different":[263],"starting":[264],"values":[265],"have":[272],"no":[273],"influence":[274],"if":[280],"can":[282],"be":[283,327],"achieved.":[284],"With":[285],"presented":[287],"able":[292],"find":[294],"appropriate":[296],"only":[304],"given.":[315],"An":[316],"homogeneous":[318],"equal":[323],"should":[326],"considered":[328],"such":[330],"problems.":[331]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
