Abstract
We propose a model dealing with the prediction of the failure stress of a unidirectional composite 0°; it is based on a probabilistic micro-macro approach. Experimental tests have been carried out on specimens (unidirectional composite 0° T300/914) with different gauge lengths in order to estimate the scale effect in the failure probability distribution.
The distribution of defects along the fibres was estimated through the multifragmentation and the single fibre test. The image analysis technique was used to estimate the local volume fraction of the fibres in the bulk of the material. The above physical information is introduced in the model based on a finite element analysis. The scale effect and the influence of the involved parameters on the failure of the material were studied at two different scales and a good agreement was found between the numerical predictions and the experimental results.
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References
A. Sommer, DEA de l'Institut Nationale des Sciences et Techniques Nucleaires (INSTN); option: Métallurgie Spéciale et Matériaux; June 1984.
D. Laroche, Ph.D thesis, Ecole Nationale Supérieure des Mines de Paris, 30 May 1980.
E. Petitpas, Ph.D thesis, Ecole Nationale Supérieure des Mines de Paris, 24 June 1993.
B.W.Rosen,AIAA Journal 2 No 11 (1964) 1985–1991.
C.Zweben,AIAA Journal 6 No 12 (1968) 2325–2331.
J.M. Hedgepeth,NASA TN D-882, Langley Research Center (1961).
J.M.Hedgepeth and P.VanDyke,Journal of Composite Materials 1 (1967) 294–309.
H.Fukuda and K.Kawata,Fibre Science and Technology 9 (1976) 189–203.
Y.Zhu, B.Zhou, G.He and Z.Zheng,Journal of Composite Materials 23 (1989) 280–287.
D.L.Smith,Journal of Materials Science Letters 2 (1983) 385–387.
J.G.Goree and R.S.Gross,Engineering Fracture Mechanics 13 (1979) 563–578.
D.Liangbo and F.Fuqun,International Journal of Fracture 59 (1993) 69–81.
R.S.Smith and S.L.Phoenix,Journal of Applied Mechanics 48 (1981) 48–75.
D.G.Harlow and S.L.Phoenix,International Journal of Fracture Mechanics 17 (1981) 347–372.
D.G.Harlow and S.L.Phoenix,Journal of Composite Materials 12 (1978) 314–334.
S.B.Batdorf,Journal of Reinforced Plastics and Composites 1 (1982) 153–164.
S.B.Batdorf and R.Ghaffarian,Journal of Reinforced Plastics and Composites 1 (1982) 165–176.
M.G. Bader and A.M. Priest, inProgress in Science and Engineering of Composites, Proceedings of ICCM-IV, T. Hayashi, K. Kawata and S. Umekawa (eds.), Tokyo (1982) 1129–1136.
M.G.Bader,Science and Engineering of Composite Materials 1 No 1 (1988) 1–11.
D. Jeulin, ‘Modèles Morphologiques de Structures Aleatoires et de Cangement d'Echelle’, Thèse d'Etat presented 25 April 1991, Université de Caen.
C.Baxevanakis, D.Jeulin, and D.Valentin,Composites Science and Technology 48 (1993) 47–56.
Hitchon and Phillips,Fibre Science and Technology 12 (1979) 217–233.
R.A.Larder and C.W.Beadle,Journal of Composites Materials 10 (1976) 21–31.
H.Burlet and G.Cailletaud,Engineering Computations 3 (1986) 143–154.
Homogenization Techniques for Composites Media, E. Sanchez-Palencia and A. Zaoui (eds.), Springer-Verlag, (1985)
J. Renard, inProceedings of the ASME ETCE Congress, Advances in the Mechanical Composite Structures, New Orleans, January 14–18, 1990.
Kong.P.Oh,Journal of Composite Materials 13 (1979) 311–328.
C. Baxevanakis, Ph.D thesis, Ecole Nationale Supérieure des Mines de Paris, 14 Decembre 1994.
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Baxevanakis, C., Jeulin, D. & Renard, J. Fracture statistics of a unidirectional composite. Int J Fract 73, 149–181 (1995). https://doi.org/10.1007/BF00055726
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DOI: https://doi.org/10.1007/BF00055726