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Influence of morphological parameters of a 2D random shortfibre composite on its effective elastic properties

Published online by Cambridge University Press:  18 December 2013

W. Leclerc
Affiliation:
Universitéde Caen Basse-Normandie, UMR 6139 LMNO, 14032 Caen, France CNRS, UMR 6139 LMNO, 14032 Caen, France
P. Karamian-Surville*
Affiliation:
Universitéde Caen Basse-Normandie, UMR 6139 LMNO, 14032 Caen, France CNRS, UMR 6139 LMNO, 14032 Caen, France
A. Vivet
Affiliation:
Université de Caen Basse-Normandie, UMR 6252, 14032 Caen, France ENSICAEN, UMR 6252, CIMAP, 14050 Caen Cedex 4, France CNRS, UMR 6252, 14032 Caen, France CEA, UMR 6252, 14032 Caen, France
*
Corresponding author:[email protected]
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Abstract

The paper deals with the assessment of the influence of morphological parameters of a 2Drandom short fibre composite on its effective elastic properties. A double-scale 2D finiteelement approach is used and periodic representative volume elements are generatedaccording to the model with an n-order approximate geometry. This one isa recent and powerful tool to generate meshes in the context of complex microstructuressuch as random fibre composites. Impact of three morphological features namely, aspectratio, tortuosity of fibres and width of the interphase area, is investigated. Numericalresults are provided for several contrasts of properties and volume fractions of fibres.

Type
Research Article
Copyright
© AFM, EDP Sciences 2013

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References

Mori, T., Tanaka, K., Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metallurgica 21 (1973) 571574 CrossRefGoogle Scholar
Hill, R., A self-consistent mechanics of composite materials, Phys. Solids 13 (1965) 213222 CrossRefGoogle Scholar
Christensen, R.M., Lo, K.H., Solutions for effective shear properties in three phase sphere and cylinder models, J. Mech. Phys. Solids 27 (1979) 127140 CrossRefGoogle Scholar
Torquato, S., Random heterogeneous media : microstructure and improved bounds on effective properties, Appl. Mech. Rev. 44 (1991) 3776 CrossRefGoogle Scholar
Segurado, J., Llorca, J., A numerical approximation to the elastic properties of sphere-reinforced composites, J. Mech. Phys. Solids 50 (2002) 21072121 CrossRefGoogle Scholar
Gusev, A.A., Hine, P.J., Ward, I.M., Fiber packing and elastic properties of a transversely random unidirectional glass/epoxy composite, Compos. Sci. Technol. 60 (2000) 53541 CrossRefGoogle Scholar
Moulinec, H., Suquet, P., A numerical method for computing the overall response of nonlinear composites with complex microstructures, Comput. Methods Appl. Mech. Eng. 157 (1998) 6994 CrossRefGoogle Scholar
Kari, S., Berger, H., Gabbert, U., Numerical evaluation of effective material properties of randomly distributed short cylindrical fibre composites, Comput. Mater. Sci. 39 (2007) 198204 CrossRefGoogle Scholar
Leclerc, W., Karamian, P., Vivet, A., An efficient stochastic and double-scale model to evaluate the effective elastic properties of 2D overlapping random fibre composites, Comput. Mater. Sci. 69 (2013) 481493 CrossRefGoogle Scholar
Dalmas, F., Dendievel, R., Chazeau, L., Cavaillé, J.Y., Gauthier, C., Carbon nanotube filled polymer composites. Numerical simulation of electrical conductivity in 3D entangled fibrous networks, Acta Materiala 54 (2006) 29232931 CrossRefGoogle Scholar
Kanit, T., Forest, S., Galliet, I., Mounoury, V., Jeulin, D., Determination of the size of the RVE for random composites: statistical and numerical approach, Int. J. Solids Struct. 40(13–14) (2003) 36473679 CrossRefGoogle Scholar
Mishnaevsky, L. Jr., Derrien, K., Baptiste, D., Effect of microstructure of particle reinforced composites on the damage evolution: probabilistic and numerical analysis, Compos. Sci. Technol. 64 (2004) 18051818 CrossRefGoogle Scholar
E. Sanchez-Palencia, Non-homogeneous media and vibration theory, Springer, Berlin, 1980