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Variety of fiber orientation tensors

Bauer, Julian Karl; Böhlke, Thomas ORCID iD icon

Abstract:

Fiber orientation tensors are established descriptors of fiber orientation states in (thermo-)mechanical material models for fiber-reinforced composites. In this paper, the variety of fourth-order orientation tensors is analyzed and specified by parameterizations and admissible parameter ranges. The combination of parameterizations and admissible parameter ranges allows for studies on the mechanical response of different fiber architectures. Linear invariant decomposition with focus on index symmetry leads to a novel compact hierarchical parameterization, which highlights the central role of the isotropic state. Deviation from the isotropic state is given by a triclinic harmonic tensor with simplified structure in the orientation coordinate system, which is spanned by the second-order orientation tensor. Material symmetries reduce the number of independent parameters. The requirement of positive-semi-definiteness defines admissible ranges of independent parameters. Admissible parameter ranges for transversely isotropic and planar cases are given in a compact closed form and the orthotropic variety is visualized and discussed in detail. ... mehr


Verlagsausgabe §
DOI: 10.5445/IR/1000141750
Veröffentlicht am 11.01.2022
Originalveröffentlichung
DOI: 10.1177/10812865211057602
Scopus
Zitationen: 18
Web of Science
Zitationen: 17
Dimensions
Zitationen: 21
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Mechanik (IFM)
Institut für Technische Mechanik (ITM)
Publikationstyp Zeitschriftenaufsatz
Publikationsdatum 01.07.2022
Sprache Englisch
Identifikator ISSN: 1081-2865, 1741-3028
KITopen-ID: 1000141750
Erschienen in Mathematics and Mechanics of Solids
Verlag SAGE Publications
Band 27
Heft 7
Seiten 1185-1211
Vorab online veröffentlicht am 16.12.2021
Schlagwörter Fiber orientation tensor, anisotropy, harmonic decomposition, fiber-reinforced composites
Nachgewiesen in Web of Science
Dimensions
Scopus
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