{"id":"https://openalex.org/W2120242013","doi":"https://doi.org/10.1002/9781118562086.ch4","title":"Discretization of Higher Order Gradient Damage Models Using Isogeometric Finite Elements","display_name":"Discretization of Higher Order Gradient Damage Models Using Isogeometric Finite Elements","publication_year":2012,"publication_date":"2012-01-09","ids":{"openalex":"https://openalex.org/W2120242013","doi":"https://doi.org/10.1002/9781118562086.ch4","mag":"2120242013"},"language":"en","primary_location":{"id":"doi:10.1002/9781118562086.ch4","doi":"https://doi.org/10.1002/9781118562086.ch4","is_oa":false,"landing_page_url":"https://doi.org/10.1002/9781118562086.ch4","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Damage Mechanics of Cementitious Materials and Structures","raw_type":"other"},"volume":{"id":"https://openalex.org/W2487090779","display_name":"Damage Mechanics of Cementitious Materials and Structures"},"type":"other","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/A5000097351","display_name":"Clemens V. Verhoosel","orcid":"https://orcid.org/0000-0001-9319-1552","observed_orcids":["https://orcid.org/0000-0001-9319-1552"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Clemens V Verhoosel","raw_affiliation_strings":["Multiscale Engineering Fluid Dynamics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Multiscale Engineering Fluid Dynamics","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004898872","display_name":"Michael A. Scott","orcid":"https://orcid.org/0009-0007-0213-0588","observed_orcids":["https://orcid.org/0009-0007-0213-0588"]},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael A Scott","raw_affiliation_strings":["University of Texas at Austin#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Texas at Austin#TAB#","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051816241","display_name":"Michael J. Borden","orcid":"https://orcid.org/0000-0001-6633-4925","observed_orcids":["https://orcid.org/0000-0001-6633-4925"]},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael J Borden","raw_affiliation_strings":["University of Texas at Austin#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Texas at Austin#TAB#","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031451887","display_name":"Thomas J.R. Hughes","orcid":"https://orcid.org/0000-0001-7024-8368","observed_orcids":["https://orcid.org/0000-0001-7024-8368","https://orcid.org/0009-0008-4299-5145"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thomas J.R Hughes","raw_affiliation_strings":["Aerospace Engineering and Engineering Mechanics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aerospace Engineering and Engineering Mechanics","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089573819","display_name":"Ren\u00e9 de Borst","orcid":"https://orcid.org/0000-0002-3457-3574","observed_orcids":["https://orcid.org/0000-0002-3457-3574"]},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Ren\u00e9 de Borst","raw_affiliation_strings":["EINDHOVEN UNIVERSITY OF TECHNOLOGY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EINDHOVEN UNIVERSITY OF TECHNOLOGY","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"89","last_page":"120"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.7705000042915344,"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/T10514","display_name":"Numerical methods in engineering","score":0.7705000042915344,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.2249000072479248,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.0015999999595806003,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/gradient-damage-models","display_name":"gradient damage models","score":0.8510000109672546},{"id":"https://openalex.org/keywords/isotropic-damage","display_name":"isotropic damage","score":0.7720000147819519},{"id":"https://openalex.org/keywords/isogeometric-analysis","display_name":"isogeometric analysis","score":0.8740000128746033},{"id":"https://openalex.org/keywords/discretization","display_name":"discretization","score":0.8569999933242798},{"id":"https://openalex.org/keywords/damage-mechanics","display_name":"damage mechanics","score":0.5370000004768372}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8450243473052979},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.7783533334732056},{"id":"https://openalex.org/C2780737243","wikidata":"https://www.wikidata.org/wiki/Q17082433","display_name":"Isogeometric analysis","level":3,"score":0.7423216104507446},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6097177267074585},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49002087116241455},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4884747564792633},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35456597805023193},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25149816274642944},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.194618821144104},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17139047384262085},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1002/9781118562086.ch4","doi":"https://doi.org/10.1002/9781118562086.ch4","is_oa":false,"landing_page_url":"https://doi.org/10.1002/9781118562086.ch4","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Damage Mechanics of Cementitious Materials and Structures","raw_type":"other"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/fe250bb1-e2d6-4878-9a2d-f1751cd2f1de","doi":null,"is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/fe250bb1-e2d6-4878-9a2d-f1751cd2f1de","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Verhoosel, C V, Scott, M A, Borden, M J, Hughes, T J R & de Borst, R 2013, Discretization of higher order gradient damage models using isogeometric finite elements. in G Pijaudier-Cabot & F Dufour (eds), Damage Mechanics of Cementitious Materials and Structures. Wiley, Hoboken, pp. 89-119. https://doi.org/10.1002/9781118562086.ch4","raw_type":"info:eu-repo/semantics/bookPart"},{"id":"pmh:857769","doi":null,"is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=857769","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISBN:9781848213401","raw_type":"Part of book or chapter of book"},{"id":"pmh:884053","doi":null,"is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=884053","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISBN:9781848213401","raw_type":"Part of book or chapter of book"},{"id":"pmh:oai:library.tue.nl:857769","doi":null,"is_oa":false,"landing_page_url":"http://repository.tue.nl/857769","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISBN:9781848213401","raw_type":"Part of book or chapter of book"},{"id":"pmh:oai:library.tue.nl:884053","doi":null,"is_oa":false,"landing_page_url":"http://repository.tue.nl/884053","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISBN:9781848213401","raw_type":"Part of book or chapter of book"},{"id":"pmh:tue:oai:library.tue.nl:857769","doi":null,"is_oa":false,"landing_page_url":"http://repository.tue.nl/857769","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Damage Mechanics of Cementitious Materials and Structures, 89","raw_type":"info:eu-repo/semantics/bookpart"},{"id":"pmh:tue:oai:library.tue.nl:884053","doi":null,"is_oa":false,"landing_page_url":"http://repository.tue.nl/884053","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Damage Mechanics of Cementitious Materials and Structures, 89","raw_type":"info:eu-repo/semantics/bookpart"},{"id":"pmh:tue:oai:pure.tue.nl:publications/fe250bb1-e2d6-4878-9a2d-f1751cd2f1de","doi":null,"is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/fe250bb1-e2d6-4878-9a2d-f1751cd2f1de","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Damage Mechanics of Cementitious Materials and Structures, 89 - 119","raw_type":"info:eu-repo/semantics/bookpart"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338291","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W133618027","https://openalex.org/W642107583","https://openalex.org/W1548879090","https://openalex.org/W1579067093","https://openalex.org/W1968342010","https://openalex.org/W1972389492","https://openalex.org/W1978578928","https://openalex.org/W1979099121","https://openalex.org/W1981028389","https://openalex.org/W1989512090","https://openalex.org/W2000425991","https://openalex.org/W2020242014","https://openalex.org/W2026433359","https://openalex.org/W2036463286","https://openalex.org/W2074300745","https://openalex.org/W2076231474","https://openalex.org/W2089092903","https://openalex.org/W2096089512","https://openalex.org/W2097698547","https://openalex.org/W2105058624","https://openalex.org/W2110186881","https://openalex.org/W2116334708","https://openalex.org/W2145995141","https://openalex.org/W2150276667","https://openalex.org/W4205649593","https://openalex.org/W4237713727","https://openalex.org/W4249019869","https://openalex.org/W4249537394","https://openalex.org/W4252993423","https://openalex.org/W4299993525"],"related_works":["https://openalex.org/W1980952974","https://openalex.org/W2299672429","https://openalex.org/W4362524263","https://openalex.org/W2058914173","https://openalex.org/W4384613161","https://openalex.org/W2042888821","https://openalex.org/W4226468209","https://openalex.org/W2212549464","https://openalex.org/W2099224036","https://openalex.org/W1606548578"],"abstract_inverted_index":{"Introduction":[0],"Isotropic":[1],"Damage":[2],"Formulation":[3],"Isogeometric":[4],"Finite":[5],"Elements":[6],"Numerical":[7],"Simulations":[8],"Conclusions":[9],"Acknowledgments":[10],"Bibliography":[11]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}
