Response and damage propagation of polymer-matrix fibre-reinforced composites: Predictions for WWFE-III Part A

This paper showcases the authors’ predictions for the 13 challenging test cases of the third World Wide Failure Exercise. The cases involve the prediction of lamina biaxial stress–strain curves, matrix cracking and delamination in various cross-ply and quasi-isotropic laminates under uniaxial loading, variation of thermal expansion coefficient of a laminate with matrix cracking, bending of a general laminate, loading-unloading behaviour and the strength of various thin and thick laminates containing an open hole. The laminates were made of various glass and carbon fibre/epoxy materials. The constitutive model is based on plasticity theory, includes hydrostatic pressure effects and accounts for multiaxial load combination effects. The failure criteria distinguish between matrix failure, fibre kinking and fibre tensile failure. In-situ strengths are used for matrix failure. Propagation of failure takes into consideration the fracture energy associated with each failure mode and, for matrix failure, the accumulation of cracks in the plies. The model is used to make blind predictions of all test cases from the third World-Wide Failure Exercise.

[1]  J. Tong,et al.  On matrix crack growth in quasi-isotropic laminates—I. Experimental investigation , 1997 .

[2]  S. Pinho,et al.  Constitutive modelling of fibre-reinforced composites with unidirectional plies using a plasticity-based approach , 2011 .

[3]  Zvi Hashin,et al.  Analysis of cracked laminates: a variational approach , 1985 .

[4]  As Kaddour,et al.  A comparison between the predictive capability of matrix cracking, damage and failure criteria for fibre reinforced composite laminates: Part A of the third world-wide failure exercise , 2013 .

[5]  Constantinos Soutis,et al.  Measuring the notched compressive strength of composite laminates : Specimen size effects , 2008 .

[6]  J. Nairn,et al.  A critical evaluation of theories for predicting microcracking in composite laminates , 1993, Journal of Materials Science.

[7]  C. Rose,et al.  Comparison of Damage Models for Predicting the Non-linear Response of Laminates Under Matrix Dominated Loading Conditions , 2010 .

[8]  Michael R Wisnom,et al.  An experimental investigation into the tensile strength scaling of notched composites , 2007 .

[9]  John A. Nairn,et al.  The initiation and growth of delaminations induced by matrix microcracks in laminated composites , 1992 .

[10]  Nobuo Takeda,et al.  Characterization of microscopic damage in composite laminates and real-time monitoring by embedded optical fiber sensors , 2002 .

[11]  Satoshi Kobayashi,et al.  Experimental and analytical characterization of transverse cracking behavior in carbon/bismaleimide cross-ply laminates under mechanical fatigue loading , 2002 .

[12]  V. Mantič,et al.  Characterization and evolution of matrix and interface related damage in [0/90]S laminates under tension. Part I: Numerical predictions. , 2010 .

[13]  Patrick E. Johnson,et al.  Characterization of Matrix Crack-Induced Laminate Failure—Part I: Experiments , 2001 .

[14]  Shuguang Li,et al.  Mechanical properties and details of composite laminates for the test cases used in the third world-wide failure exercise , 2013 .

[15]  P. Robinson,et al.  Material and structural response of polymer-matrix fibre-reinforced composites , 2012 .

[16]  Roberts Joffe,et al.  Analytical modeling of stiffness reduction in symmetric and balanced laminates due to cracks in 90° layers , 1999 .

[17]  A. Parviz On multiple transverse cracking in glass fibre epoxy cross-ply laminates , 2022 .

[18]  AS Kaddour,et al.  The background to the third world-wide failure exercise , 2013 .

[19]  J. E. Bailey,et al.  Multiple transverse fracture in 90° cross-ply laminates of a glass fibre-reinforced polyester , 1977 .