The Mode-I stress intensity factors of unidirectional fiber reinforced composites are studied based on the framework of linear elastic fracture mechanics. As one of the dominant damage mechanisms, a matrix crack in the absence of fiber break is considered here. The bridging of crack faces is assumed a principal toughening mechanism in the unidirectional fibrous composites. Based on a frictional shear–slip relationship, the effect of fiber-bridging mechanism is reflected as the toughening mechanism of unidirectional fibrous composites. On computational scheme, Newton’s method is adopted to solve the governing simultaneous equations for the fiber-bridging stresses and the crack mouth opening displacements. By making use of the proposed computational framework, a series of parametric studies is carried out to examine the effects of key material parameters upon the toughening of fibrous composites in a systematic manner.
BudianskyBAmazigoJC (1989) Toughening by aligned, frictionally constrained fibers. Journal of the Mechanics and Physics of Solids. 37(1): 93–109.
4.
BudianskyBCuiYL (1993) On the tensile strength of a fiber reinforced ceramic composite containing a crack-like flaw. Journal of the Mechanics and Physics of Solids. 42(1): 1–19.
5.
BudianskyBCuiYL (1995) Toughening of ceramics by short aligned fibers. Mechanics of Materials. 21: 139–146.
6.
BudianskyBHutchinsonJWEvansAG (1986) Matrix fracture in fiber-reinforced ceramics. Journal of the Mechanics and Physics of Solids. 34(2): 167–189.
7.
ChristensenRM (2005) Mechanics of Composite Materials. New York, NY: Dover Publications, Inc.
8.
ClyneTWWithersPJ (1993) An Introduction to Metal Matrix Composites. Cambridge: Cambridge University Press.
9.
GallKDiaoJDunnML (2004) The strength of gold nanowires. Nano Letters. 4: 2431–2436.
10.
GibsonRF (2007) Principles of Composite Material Mechanics, 2nd edn. Boca Raton, FL: CRC Press.
11.
HuXZMaiYW (1992) General method for determination of crack-interface bridging stresses. Journal of Materials Science. 27: 3502–3510.
12.
JuJWChenTM (1994a) Micromechanics and effective moduli of elastic composites containing randomly dispersed ellipsoidal inhomogeneities. Acta Mechanica. 103: 103–121.
JuJWSunLZ (1999) A novel formulation for the exterior-point Eshelby’s tensor of an ellipsoidal inclusion. ASME Journal of Applied Mechanics. 66(2): 570–574.
15.
JuJWYanaseK (2008) Elastoplastic damage micromechanics for elliptical fiber composites with progressive partial fiber debonding and thermal residual stresses. Theoretical and Applied Mechanics. 35(1–3): 137–170.
16.
JuJWYanaseK (2009) Micromechanical elastoplastic damage mechanics for elliptical fiber reinforced composites with progressive partial fiber debonding. International Journal of Damage Mechanics. 18(7): 639–668.
17.
JuJWYanaseK (2010) Micromechanics and effective elastic moduli of particle-reinforced composites with near-field particle interactions. Acta Mechanica. 215(1): 135–153.
18.
JuJWYanaseK (2011a) Micromechanical effective elastic moduli of continuous fiber-reinforced composites with near-field fiber interactions. Acta Mechanica. 216(1): 87–103.
19.
JuJWYanaseK (2011b) Size-dependent probabilistic micromechanical damage mechanics for particle reinforced metal matrix composites. International Journal of Damage Mechanics. 20(7): 1021–1048.
20.
JuJWZhangXD (1998) Micromechanics and effective transverse elastic moduli of composites with randomly located aligned circular fibers. International Journal of Solids and Structures. 35: 941–960.
21.
JuJWZhangXD (2001) Effective elastoplastic behavior of ductile matrix composites containing randomly located aligned circular fibers. International Journal of Solids and Structures. 38: 4045–4069.
KostopoulosVMarkopoulosYP (1998) On the fracture toughness of ceramic matrix composites. Materials Science and Engineering A. 250: 303–312.
25.
LeeHKJuJW (2008) 3-D micromechanics and effective moduli for brittle composites with randomly located interacting microcracks and inclusions. International Journal of Damage Mechanics. 17(5): 377–417.
26.
LinPJJuJW (2009) Effective elastic moduli of three-phase composites with randomly located and interacting spherical particles of distinct properties. Acta Mechanica. 208: 11–26.
27.
MugurumaHMoritaSTomitaK (1967a) Fundamental study on bond between steel and concrete: Part I. Basic law of bond stress distribution (I). Transactions of the Architectural Institute of Japan. 131: 1–8.
28.
MugurumaHMoritaSTomitaK (1967b) Fundamental study on bond between steel and concrete: Part I. Basic law of bond stress distribution (II). Transactions of the Architectural Institute of Japan. 132: 1–6.
29.
MuraT (1987) Micromechanics of Defects in Solids, 2nd edn. Dordrecht: Martinus Nijhoff Publishers.
30.
QuJCherkaouiM (2006) Fundamentals of Micromechanics of Solids. Hoboken, NJ: John Wiley & ons, Inc.
31.
SanfordRJ (2003) Principles of Fracture Mechanics. Upper Saddle River, NJ: Pearson Education, Inc.
32.
SørensenBFJacobsenTK (1998) Large-scale bridging in composites: R-curves and bridging laws. Composites Part A Applied Science and Manufacturing. 29: 1443–1451.
33.
TadaHParisPCIrwinGR (2000) The Stress Analysis of Cracks Handbook. New York, NY: ASME Press.
34.
YanaseKJuJW (2012) Effective elastic moduli of spherical particle reinforced composites containing imperfect interfaces. International Journal of Damage Mechanics. 21(1): 97–127.
