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Fiber orientation distributions based on planar fiber orientation tensors of fourth order

Bauer, Julian Karl 1; Böhlke, Thomas ORCID iD icon 2
1 Institut für Mechanik (IFM), Karlsruher Institut für Technologie (KIT)
2 Institut für Technische Mechanik (ITM), Karlsruher Institut für Technologie (KIT)

Abstract:

Fiber orientation tensors represent averaged measures of fiber orientations inside a microstructure. Although, orientation-dependent material models are commonly used to describe the mechanical properties of representative microstructure, the influence of changing or differing microstructure on the material response is rarely investigated systematically for directional measures which are more precise than second-order fiber orientation tensors. For the special case of planar orientation distributions, a set of admissible fiber orientation tensors of fourth-order is known. Fiber orientation distributions reconstructed from given orientation tensors are of interest both for numerical averaging schemes in material models and visualization of the directional information itself. Focusing on the special case of planar orientations, this paper draws the geometric picture of fiber orientation distribution functions reconstructed from fourth-order fiber orientation tensors. The developed methodology can be adopted to study the dependence of material models on planar fourth-order fiber orientation tensors. Within the set of admissible fiber orientation tensors, a subset of distinct tensors is identified. ... mehr


Verlagsausgabe §
DOI: 10.5445/IR/1000149101
Veröffentlicht am 27.07.2022
Originalveröffentlichung
DOI: 10.1177/10812865221093958
Scopus
Zitationen: 9
Web of Science
Zitationen: 6
Dimensions
Zitationen: 10
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Mechanik (IFM)
Institut für Technische Mechanik (ITM)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2022
Sprache Englisch
Identifikator ISSN: 1081-2865, 1741-3028
KITopen-ID: 1000149101
Erschienen in Mathematics and Mechanics of Solids
Verlag SAGE Publications
Band 28
Heft 3
Seiten 773 - 794
Vorab online veröffentlicht am 08.06.2022
Nachgewiesen in Dimensions
Web of Science
Scopus
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