Micromechanisms of damage in unidirectional fiber reinforced composites: 3D computational analysis

Numerical micromechanical investigations of the mechanical behavior and damage evolution of glass fiber reinforced composites are presented. A program code for the automatic generation of 3D micromechanical unit cell models of composites with damageable elements is developed, and used in the numerical experiments. The effect of the statistical variability of fiber strengths, viscosity of the polymer matrix as well as the interaction between the damage processes in matrix, fibers and interface are investigated numerically. It is demonstrated that fibers with constant strength ensure higher strength of a composite at the pre-critical load, while the fibers with randomly distributed strengths lead to the higher strength of the composite at post-critical loads. In the case of randomly distributed fiber strengths, the damage growth in fibers seems to be almost independent from the crack length in matrix, while the influence of matrix cracks on the beginning of fiber cracking is clearly seen for the case of the constant fiber strength. Competition between the matrix cracking and interface debonding was observed in the simulations: in the areas with intensive interface cracking, both fiber fracture and the matrix cracking are delayed. Reversely, in the area, where a long matrix crack is formed, the fiber cracking does not lead to the interface damage.

[1]  François Hild,et al.  Continuum Description of Damage in Ceramic-Matrix Composites , 1997 .

[2]  William A. Curtin,et al.  Strength and reliability of fiber-reinforced composites: Localized load-sharing and associated size effects , 1997 .

[3]  David H. Allen,et al.  A thermomechanical constitutive theory for elastic composites with distributed damage—I. Theoretical development , 1987 .

[4]  A. Evans,et al.  The mechanics of matrix cracking in brittle-matrix fiber composites , 1985 .

[5]  M. D. Thouless,et al.  Effects of pull-out on the mechanical properties of ceramic-matrix composites , 1988 .

[6]  J.A.G. Thomas The properties of fibre composites: Teddington, Middlesex, UK, 4 November 1971 National Physical Laboratory Conference , 1972 .

[7]  Subra Suresh,et al.  Deformation of metal-matrix composites with continuous fibers: geometrical effects of fiber distribution and shape , 1991 .

[8]  H. L. Cox The elasticity and strength of paper and other fibrous materials , 1952 .

[9]  L. Berglund,et al.  Effects of fiber and interphase on matrix-initiated transverse failure in polymer composites , 1996 .

[10]  Ferenc Kun,et al.  Failure process of a bundle of plastic fibers. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Ivo Babuška,et al.  Damage analysis of fiber composites Part I: Statistical analysis on fiber scale , 1999 .

[12]  William A. Curtin,et al.  Stochastic Damage Evolution and Failure in Fiber-Reinforced Composites , 1998 .

[13]  João Marciano Laredo dos Reis,et al.  Mechanical characterization of fiber reinforced Polymer Concrete , 2005 .

[14]  Stefanie Feih,et al.  Testing Procedure for the Single Fiber Fragmentation Test , 2004 .

[15]  J. Kellar,et al.  Determining the interphase thickness and properties in polymer matrix composites using phase imaging atomic force microscopy and nanoindentation , 2000 .

[16]  W. Curtin,et al.  Strength and reliability of notched fiber-reinforced composites , 1997 .

[17]  S. Leigh Phoenix,et al.  STATISTICS OF FRACTURE FOR AN ELASTIC NOTCHED COMPOSITE LAMINA CONTAINING WEIBULL FIBERS-PART I. FEATURES FROM MONTE-CARLO SIMULATION , 1997 .

[18]  L. N. McCartney,et al.  Mechanics of matrix cracking in brittle-matrix fibre-reinforced composites , 1987, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[19]  A. Sastry,et al.  Load redistribution near non-aligned fibre breaks in a two-dimensional unidirectional composite using break-influence superposition , 1993 .

[20]  F. Zok 3.08 – Fracture and Fatigue of Continuous Fiber-reinforced Metal Matrix Composites , 2000 .

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

[22]  Robert Plunkett,et al.  Dynamic Mechanical Behavior of Fiber-Reinforced Composites: Measurement and Analysis , 1976 .

[23]  A self-consistent model for multi-fiber crack bridging , 1993 .

[24]  V. U. Novikov,et al.  Modeling of the Interphase of Polymer-Matrix Composites: Determination of Its Structure and Mechanical Properties , 2002 .

[25]  B. D. Agarwal,et al.  Analysis and Performance of Fiber Composites , 1980 .

[26]  H. Lilholt,et al.  Tensile strength and fracture surface characterisation of sized and unsized glass fibers , 2005 .

[27]  Leon Mishnaevsky,et al.  Continuum mesomechanical finite element modeling in materials development: A state-of-the-art review * , 2001 .

[28]  A. Evans,et al.  Matrix fracture in fiber-reinforced ceramics , 1986 .

[29]  T. Okabe,et al.  Green"s function vs. shear-lag models of damage and failure in fiber composites , 2002 .

[30]  J. Aveston,et al.  Single and Multiple Fracture , 1971 .

[31]  H. Daniels The statistical theory of the strength of bundles of threads. I , 1945, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[32]  S. Leigh Phoenix,et al.  Stress concentrations around multiple fiber breaks in an elastic matrix with local yielding or debonding using quadratic influence superposition , 1996 .

[33]  Anthony Kelly,et al.  Comprehensive composite materials , 1999 .

[34]  L. Mishnaevsky,et al.  Three-dimensional numerical modelling of damage initiation in unidirectional fiber-reinforced composites with ductile matrix , 2008 .

[35]  G. deBotton,et al.  The Response of a Fiber-Reinforced Composite with a Viscoelastic Matrix Phase , 2004 .

[36]  Carlos González,et al.  Multiscale modeling of fracture in fiber-reinforced composites , 2006 .

[37]  J. Petermann,et al.  Interface layers of fiber reinforced composites with transcrystalline morphology , 1996 .

[38]  Stefano Zapperi,et al.  Damage in fiber bundle models , 2000 .

[39]  Leon Mishnaevsky,et al.  Automatic voxel-based generation of 3D microstructural FE models and its application to the damage analysis of composites , 2005 .

[40]  John W. Hutchinson,et al.  Models of fiber debonding and pullout in brittle composites with friction , 1990 .

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

[42]  A. Sastry,et al.  Comparison of shear-lag theory and continuum fracture mechanics for modeling fiber and matrix stresses in an elastic cracked composite lamina , 1996 .