{"id":"https://openalex.org/W1952324784","doi":"https://doi.org/10.1137/151005269","title":"Reconstruction of a Fully Anisotropic Elasticity Tensor from Knowledge of Displacement Fields","display_name":"Reconstruction of a Fully Anisotropic Elasticity Tensor from Knowledge of Displacement Fields","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1952324784","doi":"https://doi.org/10.1137/151005269","mag":"1952324784"},"language":"en","primary_location":{"id":"doi:10.1137/151005269","is_oa":false,"landing_page_url":"https://doi.org/10.1137/151005269","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","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/A5047341994","display_name":"Guillaume Bal","orcid":"https://orcid.org/0000-0002-4792-7546"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Guillaume Bal","raw_affiliation_strings":["Department of Applied Physics and Applied Mathematics, Columbia University, New York NY, 10027;"],"affiliations":[{"raw_affiliation_string":"Department of Applied Physics and Applied Mathematics, Columbia University, New York NY, 10027;","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024080388","display_name":"Fran\u00e7ois Monard","orcid":"https://orcid.org/0000-0003-2913-7644"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Monard","raw_affiliation_strings":["Department of Mathematics, University of Washington;"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Washington;","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109171815","display_name":"G\u00fcnther Uhlmann","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]},{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK","US"],"is_corresponding":false,"raw_author_name":"Gunther Uhlmann","raw_affiliation_strings":["Department of Mathematics, University of Washington; Hong Kong University of Science and Technology;"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Washington; Hong Kong University of Science and Technology;","institution_ids":["https://openalex.org/I201448701","https://openalex.org/I200769079","https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5047341994"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":null,"apc_paid":null,"fwci":2.1826,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.86640599,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"75","issue":"5","first_page":"2214","last_page":"2231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9997000098228455,"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":0.9997000098228455,"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/T10727","display_name":"Ultrasound Imaging and Elastography","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.6772438883781433},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.6305364966392517},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5632787346839905},{"id":"https://openalex.org/keywords/transverse-isotropy","display_name":"Transverse isotropy","score":0.5627139806747437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5547510385513306},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.5476445555686951},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5183042883872986},{"id":"https://openalex.org/keywords/tensor-field","display_name":"Tensor field","score":0.5065339803695679},{"id":"https://openalex.org/keywords/displacement-field","display_name":"Displacement field","score":0.4629555344581604},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.4576917588710785},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4444453716278076},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26515957713127136},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.23805460333824158},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22901111841201782},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.22729477286338806},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.09088939428329468}],"concepts":[{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.6772438883781433},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.6305364966392517},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5632787346839905},{"id":"https://openalex.org/C101842124","wikidata":"https://www.wikidata.org/wiki/Q2449817","display_name":"Transverse isotropy","level":3,"score":0.5627139806747437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5547510385513306},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.5476445555686951},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5183042883872986},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.5065339803695679},{"id":"https://openalex.org/C29660869","wikidata":"https://www.wikidata.org/wiki/Q5282615","display_name":"Displacement field","level":3,"score":0.4629555344581604},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.4576917588710785},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4444453716278076},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26515957713127136},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.23805460333824158},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22901111841201782},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.22729477286338806},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.09088939428329468},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/151005269","is_oa":false,"landing_page_url":"https://doi.org/10.1137/151005269","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-72336","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-72336","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"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":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3222072197","display_name":"Propagation of Stochasticity in PDEs and Hybrid Inverse Problems","funder_award_id":"1408867","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7386189180","display_name":null,"funder_award_id":"DMS-1408867","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8616295710","display_name":"CMG COLLABORATIVE RESEARCH: Nonlinear elastic-wave inverse scattering and tomography- from cracks to mantle convection","funder_award_id":"1025372","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1968820052","https://openalex.org/W1974915238","https://openalex.org/W1982317848","https://openalex.org/W1998691708","https://openalex.org/W1999496083","https://openalex.org/W2006572108","https://openalex.org/W2022521243","https://openalex.org/W2029806811","https://openalex.org/W2034457617","https://openalex.org/W2036621764","https://openalex.org/W2048626184","https://openalex.org/W2052297223","https://openalex.org/W2060322437","https://openalex.org/W2062547924","https://openalex.org/W2078392761","https://openalex.org/W2079187543","https://openalex.org/W2083039650","https://openalex.org/W2083470475","https://openalex.org/W2083627232","https://openalex.org/W2083789485","https://openalex.org/W2087190983","https://openalex.org/W2088474005","https://openalex.org/W2100297013","https://openalex.org/W2101478350","https://openalex.org/W2103232886","https://openalex.org/W2153793559","https://openalex.org/W2168528001","https://openalex.org/W2168588605","https://openalex.org/W2521439660","https://openalex.org/W2962960045","https://openalex.org/W2963058894","https://openalex.org/W2963974297","https://openalex.org/W2964023184","https://openalex.org/W2964312073","https://openalex.org/W3021722416","https://openalex.org/W3100154313","https://openalex.org/W3100193126","https://openalex.org/W3104660615","https://openalex.org/W3105348305","https://openalex.org/W4248305267","https://openalex.org/W4251957920"],"related_works":["https://openalex.org/W1603796495","https://openalex.org/W2060415987","https://openalex.org/W2254082118","https://openalex.org/W2049346685","https://openalex.org/W2417851565","https://openalex.org/W2018273323","https://openalex.org/W4235074964","https://openalex.org/W2158810451","https://openalex.org/W1887380982","https://openalex.org/W336908258"],"abstract_inverted_index":{"We":[0,58],"present":[1],"explicit":[2,35],"reconstruction":[3,37],"algorithms":[4],"for":[5],"fully":[6],"anisotropic":[7],"unknown":[8],"elasticity":[9],"tensors":[10],"from":[11],"knowledge":[12],"of":[13,17,53,55],"a":[14],"finite":[15],"number":[16],"internal":[18],"displacement":[19],"fields,":[20,34],"with":[21],"applications":[22],"to":[23,46,68],"transient":[24],"elastography.":[25],"Under":[26],"certain":[27],"rank-maximality":[28],"assumptions":[29],"satisfied":[30],"by":[31],"the":[32,51,56,62,74],"strain":[33],"algebraic":[36],"formulas":[38],"are":[39],"provided.":[40],"A":[41],"discussion":[42],"ensues":[43],"on":[44],"how":[45,61],"fulfill":[47],"these":[48],"assumptions,":[49],"describing":[50],"range":[52],"validity":[54],"approach.":[57],"also":[59],"show":[60],"general":[63],"method":[64],"can":[65],"be":[66],"applied":[67],"more":[69],"specific":[70],"cases":[71],"such":[72],"as":[73],"transversely":[75],"isotropic":[76],"one.":[77]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
