A generalized shear-lag theory for elastic stress transfer between matrix and fibres having a variable radius

  • A generalized shear-lag theory for fibres with variable radius is developed to analyse elastic fibre/matrix stress transfer. The theory accounts for the reinforcement of biological composites, such as soft tissue and bone tissue, as well as for the reinforcement of technical composite materials, such as fibre-reinforced polymers (FRP). The original shear-lag theory proposed by Cox in 1952 is generalized for fibres with variable radius and with symmetric and asymmetric ends. Analytical solutions are derived for the distribution of axial and interfacial shear stress in cylindrical and elliptical fibres, as well as conical and paraboloidal fibres with asymmetric ends. Additionally, the distribution of axial and interfacial shear stress for conical and paraboloidal fibres with symmetric ends are numerically predicted. The results are compared with solutions from axisymmetric finite element models. A parameter study is performed, to investigate the suitability of alternative fibre geometries for use in FRP.

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Metadaten
Author:Murat Topçu, Gopal S.P. Madabhushi, Manfred StaatORCiD
DOI:https://doi.org/10.1016/j.ijsolstr.2022.111464
ISSN:0020-7683
Parent Title (English):International Journal of Solids and Structures
Publisher:Elsevier
Place of publication:New York, NY
Document Type:Article
Language:English
Year of Completion:2022
Tag:Biocomposites; Finite element analysis; Natural fibres; Polymer-matrix composites; Stress concentrations
Volume:239–240
Issue:Art. No. 111464
Link:https://doi.org/10.1016/j.ijsolstr.2022.111464
Zugriffsart:campus
Institutes:FH Aachen / Fachbereich Medizintechnik und Technomathematik
FH Aachen / IfB - Institut für Bioengineering
collections:Verlag / Elsevier