zbMATH — the first resource for mathematics

Towards a numerical model of the compressive strength for long fibre composites. (English) Zbl 0927.74060
Summary: The compressive failure of long fibre composites is tackled as a structural instability that is initiated by plastic microbuckling. We propose a homogenized model to take into account the initial waviness of fibres, the nonlinear matrix behaviour, and some structural effects. The problem is formulated at the ply scale by using a two-scale displacement field, and a specific finite element is developed to reduce the extent of computations. This numerical tool permits us to rapidly determine the failure of various unidirectional ply configurations by use of a maximum load criterion. The results establish the influence of some structural parameters on the compressive failure strains, as has been observed in related experiments. They also explain the high compressive strength achieved under flexural loading.

74R20 Anelastic fracture and damage
74E30 Composite and mixture properties
74S05 Finite element methods applied to problems in solid mechanics
Full Text: DOI
[1] Argon, A.S., Fracture of composites, ()
[2] Budiansky, B., Micromechanics, comput. struct., 16, 1, 3-12, (1983) · Zbl 0498.73115
[3] Budiansky, B.; Fleck, N.A., Compressive failure of fiber composites, J. mech. phys. solids, 41, 1, 183-211, (1993)
[4] Colvin, G.E.; Swanson, S.R., In situ compressive strength of carbon epoxy AS4/3501-6 laminates, J. eng. mater. T ASME, 115, 122-128, (1993)
[5] Cosserat, E.; Cosserat, F., Théorie des corps déformables, (1909), Herman et Fils Paris · JFM 40.0862.02
[6] Ditcher, A.K., The nonlinear stress-strain behaviour of carbon-reinforced plastics and its effect on the analysis of laminated plates and sandwich beams, ()
[7] Drapier, S.; Grandidier, J.-C.; Gardin, C.; Potier-Ferry, M., Structure effect and microbuckling, spec. JNC9, Compos. sci. technol., 56, 861-867, (1996)
[8] Drapier, S.; Grandidier, J.-C.; Potier-Ferry, M., Theoretical study of structural effects on the compressive strength of laminate composites, C.R. acad. sci. Paris, sér. il-b, 324, 219-227, (1997)
[9] Effendi, R.-R., Analyse des mécanismes de dégradation en compression des composites unidirectionnels, fibres de carbone - matrice organique et modélisation associée, Thèse de doctorat de l’école nationale supérieure de l’Aéronautique et de l’espace, (1993)
[10] Fleck, N.A.; Shu, J.Y., Microbuckle initiate in fibre composites: a finite element study, J. mech. phys. solids, 43, 12, 1887-1918, (1995) · Zbl 0878.73039
[11] Fleck, N.A.; Deng, L.; Budiansky, B., Prediction of kink width in fiber composites, J. appl. mech., 62, 329-337, (1995) · Zbl 0873.73049
[12] Gardin, C.; Potier-Ferry, M., Microflambage des fibres dans un matériau composite à fibres longues : analyse asymptotique 2-D, C.R. acad. sci. Paris, Sér. II, 315, 1159-1164, (1992) · Zbl 0768.73063
[13] Grandidier, J.-C.; Potier-Ferry, M., Microflambage des fibres dans un matériau composite à fibres longues, C.R. acad. sci. Paris, Sér. II, 310, 1-6, (1990)
[14] Grandidier, J.-C.; Ferron, G.; Potier-Ferry, M., Microbuckling and strength in long-fiber composites: theory and experiments, Int. J. solids struct., 29, 14/15, 1753-1761, (1992)
[15] Grandsire-Vinçon, I., Compression des composites unidirectionnels: méthodes d’essais et approche micromécanique, Thèse de doctorat de l’ENS cachan, (1993)
[16] Hutchinson, J.W., Plastic buckling, Adv. appl. mech., 14, 12, 67-144, (1974)
[17] Kyriakides, S.; Arseculeratne, R.; Perry, E.J.; Liechti, K.M., On the compressive failure of fiber reinforced composites, Int. J. solids struct., 32, 6/7, 689-738, (1995) · Zbl 0875.73189
[18] Paluch, B., Analyse des imperfections géométriques affectant LES fibres dans un matériau composite à renfort unidirectionnel, Rech. Aéronautique, 6, 431-448, (1994)
[19] Rosen, B.W., Mechanics of composite strengthening, fibre composite materials, (), 37-75
[20] Sigety, P., Internal communication, (1996), Office National des Études et des Recherches Aérospatiales
[21] Schaffers, W.J., Buckling in fiber reinforced elastomer, Text. res. J., 502-512, (July 1977)
[22] Swanson, S.R., A micro-mechanics model for in situ compression strength of fiber composite laminates, J. eng. mater. ASME, 114, 8-12, (1992)
[23] Swanson, S.R.; Colvin, G.E., Compression failure in reduced adhesion fiber laminates, J. eng. mater. T. ASME, 115, 187-192, (1993)
[24] Wisnom, M.R., The effect of the specimen size on the bending strength of unidirectional carbon fibre-epoxy, Comp. struct., 18, 47-63, (1991)
[25] Wisnom, M.R., On the high compressive strains achieved in bending tests on unidirectional carbon fibre epoxy, Compos. sci. technol., 43, 229-235, (1992)
[26] Wisnom, M.R., Constrained buckling tests show increasing compressive strain failure with increasing strain gradient, Compos. sci. technol., 29, 11, 959-964, (1997)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.