Abstract
Micromechanics has been widely used in the link in between an actual non-homogeneous composite ply involving fibre and matrix and an equivalent homogeneous ply with non-isotropic behaviour, connecting stiffness and strength properties of the equivalent lamina with the properties of fibre and matrix. The authors believe that beyond this, Micromechanics is the key tool to understand the behaviour of composites, to be able, among many other things, to propose physically based failure criteria that obviously are established at meso- or macro-level of a composite. Thus, the role of Micromechanics in the understanding of the interfibre failure mechanisms of composites is presented in this chapter. Different loading conditions (single tension, single compression, bidirectional loads and fatigue) are studied based on a simple single fibre model. The role of residual curing stresses at micromechanical level in the strength of a ply in the direction normal to the fibres is also studied. Finally, more refined models cover two questions of interest as the effect of a nearby fibre in the debonding of a primary fibre, and the scale effect in composites at micromechanical level, considering the debonding between fibre and matrix. In all cases the approach is to develop a BEM model and apply the tools derived from Interfacial Fracture Mechanics to deal with the debonds between fibre and matrix and Linear Elastic Fracture Mechanics to deal with cracks running into the matrix. It is noticeable that no material or fitting parameters are used in the developments carried out. In all cases studied, experimental evidences are presented to support numerical predictions.
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R. Jones, Mechanics of Composite Materials (McGraw-Hill, New York, 1975)
S.W. Tsai, H.T. Hahn, Introduction to Composite Materials (Technomic, Southampton, 1980)
B.D. Agarwal, L.J. Broutman, Analysis and Performance of Fibre Composites (Wiley, New York, 1980)
J.C. Halpin, Primer on Composite Materials, 2nd edn. (Technomic, Lancaster, PA, 1992)
F. París, A study of failure criteria of fibrous composite materials. NASA/CR–2001–210661 (2001)
M.L. Williams, The stress around a fault of crack in dissimilar media. Bull. Seismol. Soc. Am. 49, 199–204 (1959)
M. Comninou, The interface crack. J. Appl. Mech. 44, 631–636 (1977)
V. Mantič, A. Blázquez, E. Correa, F. París, Analysis of interface cracks with contact in composites by 2D BEM, in Fracture and Damage of Composites, ed. by M. Guagliano, M.H. Aliabadi (WIT, Southampton, 2006), pp. 189–248
F. París, E. Correa, V. Mantič, Kinking of transversal interface cracks between fiber and matrix. J. Appl. Mech. 74, 703–716 (2007)
E. Correa, V. Mantič, F. París, Numerical characterisation of the fibre–matrix interface crack growth in composites under transverse compression. Eng. Fract. Mech. 75 (14), 4085–4103 (2008)
M.Y. He, J.W. Hutchinson, Kinking of a crack out of an interface. J. Appl. Mech. 56, 270–278 (1989)
J.W. Hutchinson, Z. Suo, Mixed mode cracking in layered materials. Adv. Appl. Mech. 29, 63–191 (1992)
F. París, J. Cañas, Boundary Element Method. Fundamentals and Applications (Oxford University Press, Oxford, 1997)
E.K. Gamstedt, Fatigue damage mechanisms in polymer matrix composites. Ph.D. thesis, Lulea University of Technology (1997)
Z. Hashin, A. Rotem, A fatigue failure criterion for fiber reinforced materials. J. Compos. Mater. 7, 448–64 (1973)
A. Puck, H. Schurmann, Failure analysis of FRP laminates by means of physically based phenomenological models. Compos. Sci. Technol. 58, 1045–1067 (1998)
C.T. Sun, B.J. Quinn, J. Tao, D.W. Oplinger, Comparative evaluation of failure analysis methods for composite laminates. DOT/ FAA/AR–95/109 (1996)
M. Toya, On mode I and mode II energy release rates of an interface crack. Int. J. Fract. 56, 345–352 (1992)
Y. Murakami, Stress Intensity Factor Handbook (Pergamon, Oxford, 1988)
F. París, E. Correa, J. Cañas, Micromechanical view of failure of the matrix in fibrous composite materials. Compos. Sci. Technol. 63, 1041–1052 (2003)
V. Mantič, F. París, Relation between SIF and ERR based measures of fracture mode mixity in interface cracks. Int. J. Fract. 130, 557–569 (2004)
F. Erdogan, G.C. Sih, On the crack extension in plates under plane loading and transverse shear. J. Basic Eng. 85, 519–527 (1963)
E. Correa, V. Mantič, F. París, Effect of the presence of a secondary transverse load on the inter–fibre failure under tension. Eng. Fract. Mech. 103, 174–189 (2013)
E. Correa, V. Mantič, F. París, A micromechanical view of inter–fibre failure of composite materials under compression transverse to the fibres. Compos. Sci. Technol. 68 (9), 2010–2021 (2008)
E. Correa, F. París, V. Mantič, Effect of a secondary transverse load on the inter–fibre failure under compression. Compos. Part B 65, 57–68 (2014)
E.K. Gamstedt, B.A. Sjogren, Micromechanisms in tension–compression fatigue of composite laminates containing transverse plies. Compos. Sci. Technol. 59 (2), 167–78 (1999)
F. París, J.C. del Caño, J. Varna, BEM analysis of the contact problem in fibres debonded of a matrix. Effect of curing stresses, in Boundary Elements XX, ed. by A. Kassab, C.A. Brebbia, M. Chopra (Computational Mechanics Publications, Southampton, 1998), pp. 145–156
E. Correa, V. Mantič, F. París, Effect of thermal residual stresses on matrix failure under transverse tension at micromechanical level: a numerical and experimental analysis. Compos. Sci. Technol. 71 (5), 622–629 (2011)
E. Correa, F. París, V. Mantič, Effect of thermal residual stresses on the matrix failure under transverse compression at micromechanical level: a numerical and experimental study. Compos. Part A 43 (1), 87–94 (2012)
C. Sandino, E. Correa, F. París, Numerical analysis of the influence of a nearby fibre on the interface crack growth under transverse tensile load. Eng. Fract. Mech. (2016). http://dx.doi.org/10.1016/j.engfracmech.2016.01.022
A. Parvizi, K.W. Garret, J.E. Bailey, Constrained cracking in glass fibre-reinforced epoxy cross-ply laminates. J. Mater. Sci. 13, 195–201 (1978)
D.L. Flaggs, M.H. Kural, Experimental determination of the in situ transverse lamina strength in graphite/epoxy laminates. J. Compos. Mater. 16 (2), 103–116 (1982)
I.G. García, V. Mantič, A. Blázquez, F. París, Transverse crack onset and growth in cross ply [0∕90] S laminates under tension. Application of a coupled stress and energy criterion. Int. J. Solids Struct. 51, 3844–3856 (2014)
V. Mantič, Interface crack onset at a circular cylindrical inclusion under a remote transverse tension. Application of a coupled stress and energy criterion. Int. J. Solids Struct. 46, 1287–304 (2009)
M.L. Velasco, F. París, J.C. Marín, J. Justo, A. Barroso, E. Graciani, Numerical and experimental study on the failure of non-conventional laminates, in ECCM17—European Conference on Composite Materials, Munich (2016)
H. Saito, H. Takeuchi, I. Kimpara, Experimental evaluation of the damage growth restraining in 90 layer of thin-ply CFRP cross-ply laminates. Adv. Compos. Mater. 21, 57–66 (2012)
Acknowledgements
This study was supported by the Spanish Ministry of Education and Science/Economy and Competitiveness and the Junta de Andalucía (Projects MAT2013-45069-P, DPI 2012-37187 and P11-TEP-7093).
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París, F., Correa, E., Mantič, V. (2017). Micromechanical Evidences on Interfibre Failure of Composites. In: Beaumont, P., Soutis, C., Hodzic, A. (eds) The Structural Integrity of Carbon Fiber Composites. Springer, Cham. https://doi.org/10.1007/978-3-319-46120-5_14
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