Abstract
This paper examines the problem of the stress concentration at a flaw in a unidirectional fibre reinforced composite. The geometry of the flaw corresponds to a spheroidal region in which the reinforcing fibres exhibit continuity across the flaw surface. The composite containing the flaw is subjected to a uniaxial stress field which acts along the fibre direction. An exact solution is devoloped for the stress concentration factor at the reinforced flaw boundary. Typical numerical results presented in the paper illustrate the manner in which the stress concentration at the bridged flaw is influenced by the fibre volume fraction, the fibre-matrix modular ratio and the flaw geometry.
Zusammenfassung
In der vorliegenden Arbeit wird das Problem der Spannungskonzentration an einem Defekt in einem einachsig mit Fasern verstärkten Komposit untersucht. Der Defekt entspricht einem elliptisch-sphärischen Gebiet mit Fasern, welche durch die Defektfläche hindurch stetig verlaufen. Der Körper wird durch ein Spannungsfeld in Richtung der Fasern einachsig belastet. Ein exakter Lösungsansatz führt zum Spannungskonzentrationsfaktor an der Oberfläche des verstärkten Defektes. Typische numerische Resultate illustrieren den Einfluß des Volumen- und Modulverhältnisses zwischen Fasern und Matrix sowie der Defektgeometrie auf die Spannungskonzentration.
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Selvadurai, A.P.S. On three-dimensional fibrous flaws in unidirectional fibre reinforced elastic composites. Z. angew. Math. Phys. 34, 51–64 (1983). https://doi.org/10.1007/BF00962614
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DOI: https://doi.org/10.1007/BF00962614