{"id":"https://openalex.org/W2254409627","doi":"https://doi.org/10.1007/978-3-319-15090-1_3","title":"Fiber Orientation Distribution Functions and Orientation Tensors for Different Material Symmetries","display_name":"Fiber Orientation Distribution Functions and Orientation Tensors for Different Material Symmetries","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2254409627","doi":"https://doi.org/10.1007/978-3-319-15090-1_3","mag":"2254409627"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-15090-1_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-15090-1_3","pdf_url":null,"source":{"id":"https://openalex.org/S4210191043","display_name":"Mathematics and visualization","issn_l":"1612-3786","issn":["1612-3786","2197-666X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Visualization","raw_type":"book-chapter"},"type":"book-chapter","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/A5049541486","display_name":"Maher Moakher","orcid":"https://orcid.org/0000-0002-9432-0456"},"institutions":[{"id":"https://openalex.org/I108714496","display_name":"Tunis University","ror":"https://ror.org/02q1spa57","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496"]},{"id":"https://openalex.org/I4210131288","display_name":"National Engineering School of Tunis","ror":"https://ror.org/03b1zjt31","country_code":"TN","type":"education","lineage":["https://openalex.org/I4210131288","https://openalex.org/I63596082"]},{"id":"https://openalex.org/I63596082","display_name":"Tunis El Manar University","ror":"https://ror.org/029cgt552","country_code":"TN","type":"education","lineage":["https://openalex.org/I63596082"]}],"countries":["TN"],"is_corresponding":true,"raw_author_name":"Maher Moakher","raw_affiliation_strings":["Laboratory for Mathematical and Numerical Modeling in Engineering Science, National Engineering School at Tunis, University of Tunis El Manar, ENIT-LAMSIN, B.P. 37, 1002, Tunis-Belv\u00e9d\u00e8re, Tunisia"],"affiliations":[{"raw_affiliation_string":"Laboratory for Mathematical and Numerical Modeling in Engineering Science, National Engineering School at Tunis, University of Tunis El Manar, ENIT-LAMSIN, B.P. 37, 1002, Tunis-Belv\u00e9d\u00e8re, Tunisia","institution_ids":["https://openalex.org/I4210131288","https://openalex.org/I108714496","https://openalex.org/I63596082"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038994213","display_name":"Peter J. Basser","orcid":"https://orcid.org/0000-0003-4795-6088"},"institutions":[{"id":"https://openalex.org/I1299303238","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88","country_code":"US","type":"government","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238"]},{"id":"https://openalex.org/I4210144228","display_name":"Eunice Kennedy Shriver National Institute of Child Health and Human Development","ror":"https://ror.org/04byxyr05","country_code":"US","type":"facility","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238","https://openalex.org/I4210144228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter J. Basser","raw_affiliation_strings":["Section on Tissue Biophysics & Biomimetics, PPITS, NICHD, National Institutes of Health, 13 South Drive, Bldg. 13, Rm. 3W16, Bethesda, MD, 20892-5772, USA"],"affiliations":[{"raw_affiliation_string":"Section on Tissue Biophysics & Biomimetics, PPITS, NICHD, National Institutes of Health, 13 South Drive, Bldg. 13, Rm. 3W16, Bethesda, MD, 20892-5772, USA","institution_ids":["https://openalex.org/I4210144228","https://openalex.org/I1299303238"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049541486"],"corresponding_institution_ids":["https://openalex.org/I108714496","https://openalex.org/I4210131288","https://openalex.org/I63596082"],"apc_list":null,"apc_paid":null,"fwci":2.6959,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.89161193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"37","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9851999878883362,"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"}},"topics":[{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9851999878883362,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9753999710083008,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.9616000056266785,"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/orientation","display_name":"Orientation (vector space)","score":0.7365483045578003},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.6110780835151672},{"id":"https://openalex.org/keywords/axial-symmetry","display_name":"Axial symmetry","score":0.579091489315033},{"id":"https://openalex.org/keywords/spherical-harmonics","display_name":"Spherical harmonics","score":0.5491469502449036},{"id":"https://openalex.org/keywords/distribution-function","display_name":"Distribution function","score":0.5315254330635071},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.5034849047660828},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.500032901763916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48389849066734314},{"id":"https://openalex.org/keywords/rotational-symmetry","display_name":"Rotational symmetry","score":0.48267844319343567},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.46301740407943726},{"id":"https://openalex.org/keywords/von-mises-yield-criterion","display_name":"von Mises yield criterion","score":0.432233989238739},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4098180830478668},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.38885846734046936},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.335158109664917},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2595480680465698},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09212389588356018},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07105123996734619}],"concepts":[{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.7365483045578003},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.6110780835151672},{"id":"https://openalex.org/C35377427","wikidata":"https://www.wikidata.org/wiki/Q3886264","display_name":"Axial symmetry","level":2,"score":0.579091489315033},{"id":"https://openalex.org/C3768446","wikidata":"https://www.wikidata.org/wiki/Q877100","display_name":"Spherical harmonics","level":2,"score":0.5491469502449036},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.5315254330635071},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.5034849047660828},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.500032901763916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48389849066734314},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.48267844319343567},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.46301740407943726},{"id":"https://openalex.org/C155165730","wikidata":"https://www.wikidata.org/wiki/Q1319519","display_name":"von Mises yield criterion","level":3,"score":0.432233989238739},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4098180830478668},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.38885846734046936},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.335158109664917},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2595480680465698},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09212389588356018},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07105123996734619},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-15090-1_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-15090-1_3","pdf_url":null,"source":{"id":"https://openalex.org/S4210191043","display_name":"Mathematics and visualization","issn_l":"1612-3786","issn":["1612-3786","2197-666X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Visualization","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.7900000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W389326768","https://openalex.org/W1481790736","https://openalex.org/W1536847603","https://openalex.org/W1583436862","https://openalex.org/W1983052403","https://openalex.org/W1988954604","https://openalex.org/W1989704465","https://openalex.org/W1993650746","https://openalex.org/W2001450167","https://openalex.org/W2006000341","https://openalex.org/W2016131550","https://openalex.org/W2034252184","https://openalex.org/W2035262315","https://openalex.org/W2041405437","https://openalex.org/W2042422178","https://openalex.org/W2047509873","https://openalex.org/W2049924579","https://openalex.org/W2061229297","https://openalex.org/W2068286370","https://openalex.org/W2073857779","https://openalex.org/W2075993528","https://openalex.org/W2080065527","https://openalex.org/W2082699507","https://openalex.org/W2100844882","https://openalex.org/W2112623636","https://openalex.org/W2131801886","https://openalex.org/W2147736587","https://openalex.org/W2159584289","https://openalex.org/W2164313403","https://openalex.org/W2165471068","https://openalex.org/W2166662560","https://openalex.org/W2283244177","https://openalex.org/W2570391697","https://openalex.org/W2796649821","https://openalex.org/W2797466362","https://openalex.org/W2905505698","https://openalex.org/W2963265552","https://openalex.org/W3013267890","https://openalex.org/W4239831453","https://openalex.org/W4289256549"],"related_works":["https://openalex.org/W4385491145","https://openalex.org/W120984554","https://openalex.org/W1554885640","https://openalex.org/W2053604103","https://openalex.org/W2349021974","https://openalex.org/W8641448","https://openalex.org/W2030351272","https://openalex.org/W1999169639","https://openalex.org/W2085667712","https://openalex.org/W2934924286"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
