Statistical modelling of compression and fatigue damage of unidirectional fiber reinforced composites

Abstract A statistical computational model of strength and damage of unidirectional carbon fiber reinforced composites under compressive and cyclic compressive loading is presented in this paper. The model is developed on the basis of the Budiansky–Fleck fiber kinking condition, continuum damage mechanics concept and the Monte-Carlo method. The effects of fiber misalignment variability, fiber clustering, load sharing rules on the damage in composite are studied numerically. It is demonstrated that the clustering of fibers has a negative effect of the damage resistance of a composite. Further, the static compressive loading model is generalized for the case of cyclic compressive loading, with and without microdegradation of the matrix, and with and without random variations of loading. It was observed that the random variations of loading shorten the lifetime of the composite: the larger the variability of applied load, the shorter the lifetime.

[1]  S. W. Yurgartis.  Measurement of small angle fiber misalignments in continuous fiber composites , 1987 .

[2]  A. S. Argon,et al.  Fracture of Composites , 1972 .

[3]  S. Kyriakides,et al.  On the axial propagation of kink bands in fiber composites : Part ii analysis , 1999 .

[4]  Ramesh Talreja,et al.  Modeling of compressive failure in fiber reinforced composites , 2000 .

[5]  Leon Mishnaevsky,et al.  Three-dimensional numerical testing of microstructures of particle reinforced composites , 2004 .

[6]  C. Shih,et al.  Kink band formation and band broadening in fiber composites under compressive loading , 1995 .

[7]  Norman A. Fleck,et al.  Compression Failure Mechanisms in Unidirectional Composites , 1992 .

[8]  Henrik Myhre Jensen,et al.  Kink band analysis accounting for the microstructure of fiber reinforced materials , 1996 .

[9]  Zdeněk P. Bažant,et al.  Size effect on compression strength of fiber composites failing by kink band propagation , 1999 .

[10]  C. Shih,et al.  Kink band propagation and broadening in ductile matrix fiber composites: Experiments and analysis , 1998 .

[11]  H. Wagner,et al.  Stress concentrations caused by fiber failure in two-dimensional composites , 1999 .

[12]  N. Fleck,et al.  Microbuckle propagation in carbon fibre-epoxy composites , 1994 .

[13]  R. Hidalgo.  Statistical failure properties of fiber-reinforced composites , 2003 .

[14]  J. Barrau,et al.  Failure mechanism analysis under compression loading of unidirectional carbon/epoxy composites using micromechanical modelling , 1995 .

[15]  Ever J. Barbero,et al.  Prediction of Compression Strength of Unidirectional Polymer Matrix Composites , 1998 .

[16]  B. W. Rosen,et al.  Tensile failure of fibrous composites. , 1964 .

[17]  Norman A. Fleck,et al.  Compressive failure of fibre composites , 1993 .

[18]  Stelios Kyriakides,et al.  On the compressive failure of fiber reinforced composites , 1995 .

[19]  Bernard Budiansky,et al.  Mechanics of materials and material characterizationMicromechanics , 1983 .

[20]  Ramesh Talreja,et al.  Effects of nonuniformity of fiber distribution on thermally-induced residual stresses and cracking in ceramic matrix composites , 1993 .

[21]  Micromechanical formulation and 3D finite element modeling of microinstabilities in composites , 2007 .

[22]  Javier Segurado,et al.  A numerical investigation of the effect of particle clustering on the mechanical properties of composites , 2003 .

[23]  S. Kyriakides,et al.  On the initiation and growth of kink bands in fiber composites. Part II: Analysis , 2001 .

[24]  S. L. Pu,et al.  Buckling of Microfibers , 1967 .

[25]  E. Barbero,et al.  A damage mechanics model for compression strength of composites , 1996 .

[26]  T. Clyne,et al.  The compressive strength of highly-aligned carbon-fibre/epoxy composites produced by pultrusion , 2000 .

[27]  H. Schuerch,et al.  Prediction of compressive strength in uniaxial boron fiber-metal matrix composite materials. , 1966 .

[28]  Henrik Myhre Jensen,et al.  Analysis of compressive failure of layered materials by kink band broadening , 1999 .

[29]  A. Waas,et al.  Compressive response and failure of fiber reinforced unidirectional composites , 1999 .

[30]  L. Mishnaevsky.  Functionally gradient metal matrix composites: Numerical analysis of the microstructure–strength relationships , 2006 .

[31]  Norman A. Fleck,et al.  Failure Prediction Technique for Compression Loaded Carbon Fibre-Epoxy Laminate with Open Holes , 1991 .

[32]  N. Fleck,et al.  Microbuckle propagation in fibre composites , 1997 .

[33]  Leon Mishnaevsky,et al.  Computational mesomechanics of composites , 2007 .