Micro-Mechanics of Failure (MMF) for Continuous Fiber Reinforced Composites:

The micromechanics of failure was developed to predict the failure of continuous fiber reinforced composites. A micromechanical approach using unit cells of square and hexagonal arrays was employed to compute the micro stresses of constituents and at the fiber—matrix interface, which were used to determine the failure initiation of a unidirectional ply. The constituent properties include two tensile and compressive strengths of fiber and matrix, plus normal and shear strengths at the interface. The matrix and interfacial dominated strength properties are determined by matching the micro stresses at the constituent levels with the observed transverse tensile and compressive strengths on the macro ply level. The longitudinal shear failure is then expected to be a result of damage progression after initial failure. Based on the current MMF, in the graphite/epoxy considered in this study both transverse tensile and compressive failure are expected to occur via matrix failure. However, in the glass/epoxy the t...

[1]  Carlos González,et al.  Failure locus of fiber-reinforced composites under transverse compression and out-of-plane shear , 2008 .

[2]  P. B. Bowden,et al.  The plastic flow of isotropic polymers , 1972 .

[3]  Masaki Hojo,et al.  Evaluation of interfacial strength in CF/epoxies using FEM and in-situ experiments , 2006 .

[4]  Richard A. Scott,et al.  Failure of Composite Laminates Containing Pin Loaded Holes—Method of Solution , 1984 .

[5]  L. Ye,et al.  Influence of Fiber-Matrix Adhesion on Mechanical Properties of Graphite/Epoxy Composites: I. Tensile, Flexure, and Fatigue Properties , 1999 .

[6]  Z. Hashin,et al.  A Fatigue Failure Criterion for Fiber Reinforced Materials , 1973 .

[7]  H. Altenbach,et al.  A New Static Failure Criterion for Isotropic Polymers , 2001 .

[8]  S. E. Yamada,et al.  Analysis of Laminate Strength and Its Distribution , 1978 .

[9]  K. Jin,et al.  Distribution of Micro Stresses and Interfacial Tractions in Unidirectional Composites , 2008 .

[10]  P. D. Soden,et al.  Biaxial test results for strength and deformation of a range of E-glass and carbon fibre reinforced composite laminates: failure exercise benchmark data , 2002 .

[11]  Stephen W. Tsai,et al.  Strength Characteristics of Composite Materials. , 1965 .

[12]  L. Ye,et al.  Influence of Fibre-Matrix Adhesion on Mechanical Properties of Graphite/Epoxy Composites: III. Impact and Dynamic Mechanical Properties , 2000 .

[13]  L. Ye,et al.  Influence of Fiber-Matrix Adhesion on Mechanical Properties of Graphite/Epoxy Composites: II. Interlaminar Fracture and Inplane Shear Behavior , 1999 .

[14]  L. Ye,et al.  Influence of Matrix and Interface on Transverse Mechanical Properties of CF–PEI Thermoplastic Composites at Elevated Temperatures , 2005 .

[15]  Fu-Kuo Chang,et al.  An Accumulative Damage Model for Tensile and Shear Failures of Laminated Composite Plates , 1995 .

[16]  Z. Hashin.  Failure Criteria for Unidirectional Fiber Composites , 1980 .

[17]  R. D. Bradshaw,et al.  Modified Tsai-Wu failure criterion for fiber-reinforced composite laminates , 1992 .

[18]  J. Bauwens,et al.  Yield condition and propagation of Lüders' lines in tension–torsion experiments on poly(vinyl chloride) , 1970 .

[19]  William W. Feng,et al.  A Failure Criterion for Composite Materials , 1991 .

[20]  P. D. Soden,et al.  Lamina properties, lay-up configurations and loading conditions for a range of fibre-reinforced composite laminates , 1998 .

[21]  P. D. Soden,et al.  A COMPARISON OF THE PREDICTIVE CAPABILITIES OF CURRENT FAILURE THEORIES FOR COMPOSITE LAMINATES, JUDGED AGAINST EXPERIMENTAL EVIDENCE , 2002 .

[22]  M. A. Stone,et al.  An assessment of failure criteria for fibrereinforced composite laminates , 1995 .

[23]  Y. Miyano,et al.  Formulation of Long-term Creep and Fatigue Strengths of Polymer Composites Based on Accelerated Testing Methodology , 2008 .

[24]  H. Schürmann,et al.  FAILURE ANALYSIS OF FRP LAMINATES BY MEANS OF PHYSICALLY BASED PHENOMENOLOGICAL MODELS , 1998 .

[25]  Masayuki Nakada,et al.  Accelerated Testing for Long-term Durability of FRP Laminates for Marine Use , 2005 .

[26]  P. D. Soden,et al.  A comparison of the predictive capabilities of current failure theories for composite laminates: additional contributions , 2004 .

[27]  Richard A. Scott,et al.  Failure Strength of Nonlinearly Elastic Composite Laminates Containing a Pin Loaded Hole , 1984 .

[28]  P. D. Soden,et al.  Evaluation of failure prediction in composite laminates: background to ‘part B’ of the exercise , 2002 .

[29]  Andrew C. Hansen,et al.  A comparison of multicontinuum theory based failure simulation with experimental results , 2004 .

[30]  Pedro P. Camanho,et al.  Numerical Simulation of Delamination Growth in Composite Materials , 2001 .

[31]  Stephen W. Tsai,et al.  Anisotropic strength of composites , 1965 .

[32]  R. Christensen.  Stress based yield/failure criteria for fiber composites , 1997 .

[33]  Stephen W. Tsai,et al.  A General Theory of Strength for Anisotropic Materials , 1971 .

[34]  P. D. Soden,et al.  A COMPARISON OF THE PREDICTIVE CAPABILITIES OF CURRENT FAILURE THEORIES FOR COMPOSITE LAMINATES , 1998 .

[35]  F. Chang,et al.  A Progressive Damage Model for Laminated Composites Containing Stress Concentrations , 1987 .

[36]  L. J. Hart-Smith,et al.  A New Approach to Fibrous Composite Laminate Strength Prediction , 1990 .

[37]  J. Chaboche,et al.  Multiscale Structural Analyses Incorporating Damage Mechanics at the Meso- or Micro-Scales , 2003 .

[38]  P. Soden,et al.  Recommendations for designers and researchers resulting from the world-wide failure exercise , 2004 .

[39]  P. D. Soden,et al.  A further assessment of the predictive capabilities of current failure theories for composite laminates: comparison with experimental evidence , 2004 .

[40]  R. Cuntze,et al.  The predictive capability of failure mode concept-based strength criteria for multi-directional laminates—part B , 2004 .

[41]  J.-F. Maire,et al.  A multiscale progressive failure approach for composite laminates based on thermodynamical viscoelastic and damage models , 2007 .

[42]  R. S. Raghava,et al.  The macroscopic yield behaviour of polymers , 1973 .

[43]  P. D. Soden,et al.  Predicting failure in composite laminates: the background to the exercise , 1998 .