A comparative study of failure theories and predictions for fibre polymer composite laminates: Part (A)

Publisher Summary This chapter presents a comparison of the predictive capabilities of internationally recognized failure theories for fiber reinforced polymer composite laminates. It also discusses some of the major similarities and differences between the theories supplied. The predictions from each contributor are superimposed onto combined graphs to facilitate direct comparison. Reasons for the key overall differences among the predictions are also discussed. The theories are applied by their originators (or their collaborators) to carefully selected test cases that covered a wide range of lay-ups, materials, and in-plane loading conditions. Key features in each theory are identified, including the types of failure models employed, whether linear or nonlinear analysis is carried out, reliance on software and numerical methods, allowance for thermal stresses, and identification of the modes of failure. The results (initial and final failure envelopes and representative stress–strain curves) are superimposed to show similarities and differences among the predictions of the various theories. Bar charts are constructed to demonstrate the levels of agreement between the predicted initial and final failure stresses and strains. Sources of discrepancies among the predictions of the various failure theories are discussed.

[1]  James F. Newill,et al.  Predicting the nonlinear response and progressive failure of composite laminates , 2004 .

[2]  Stephen W. Tsai,et al.  A PROGRESSIVE QUADRATIC FAILURE CRITERION FOR A LAMINATE 1 This article represents the authors' cont , 1998 .

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

[4]  Stephen W. Tsai,et al.  A Survey of Macroscopic Failure Criteria for Composite Materials , 1984 .

[5]  P. T. Curtis,et al.  On the transverse cracking and longitudinal splitting behaviour of glass and carbon fibre reinforced epoxy cross ply laminates and the effect of Poisson and thermally generated strain , 1979, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[6]  L. N. McCartney,et al.  Prediction of ply crack formation and failure in laminates , 2002 .

[7]  Zheng-Ming Huang,et al.  A bridging model prediction of the ultimate strength of composite laminates subjected to biaxial loads , 2004 .

[8]  L. J. Hart-Smith,et al.  Expanding the capabilities of the Ten-Percent Rule for predicting the strength of fibre–polymer composites , 2002 .

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

[10]  Levon Minnetyan,et al.  Prediction of composite laminate fracture: micromechanics and progressive fracture , 1998 .

[11]  Som R. Soni,et al.  A Comparative Study of Failure Envelopes in Composite Laminates , 1983 .

[12]  Zvi Hashin,et al.  Failure Modes of Angle Ply Laminates , 1975 .

[13]  F. L. Matthews,et al.  A review of multiaxial/biaxial loading tests for composite materials , 1993 .

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

[15]  M. Kural,et al.  Experimental Determination of the In Situ Transverse Lamina Strength in Graphite/Epoxy Laminates , 1982 .

[16]  Ludmilla P. Tairova,et al.  The strength of multilayered composites under a plane-stress state , 1998 .

[17]  L. J. Hart-Smith,et al.  Predictions of a generalized maximum-shear-stress failure criterion for certain fibrous composite laminates , 1998 .

[18]  Andrew C. Hansen,et al.  Composite laminate failure analysis using multicontinuum theory , 2004 .

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

[20]  C. Sun,et al.  Prediction of failure envelopes and stress/strain behaviour of composite laminates 1 This article re , 1998 .

[21]  G. Eckold,et al.  FAILURE CRITERIA FOR USE IN THE DESIGN ENVIRONMENT 1 This article represents the author's contributi , 1998 .

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

[23]  Tarunjit S. Butalia,et al.  A strain-energy based failure criterion for non-linear analysis of composite laminates subjected to biaxial loading , 1998 .

[24]  L. J. Hart-Smith,et al.  Predictions of the original and truncated maximum-strain failure models for certain fibrous composite laminates , 1998 .

[25]  A. Rotem,et al.  PREDICTION OF LAMINATE FAILURE WITH THE ROTEM FAILURE CRITERION 1 This article represents the author , 1998 .

[26]  P. D. Soden,et al.  Predictive capabilities of nineteen failure theories and design methodologies for polymer composite laminates. Part B: Comparison with experiments , 2004 .

[27]  L. McCartney,et al.  PREDICTING TRANSVERSE CRACK FORMATION IN CROSS-PLY LAMINATES 1 This article represents the author's , 1998 .

[28]  Mn Nahas,et al.  Survey of Failure and Post-Failure Theories of Laminated Fiber-Renforced Composites , 1986 .

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

[30]  E. C. Edge Stress-based Grant-Sanders method for predicting failure of composite laminates , 1998 .

[31]  R. Sandhu,et al.  A Survey of Failure Theories of Isotropic and Anisotropic Materials , 1972 .

[32]  P. D. Soden,et al.  The world-wide failure exercise: Its origin, concept and content , 2004 .

[33]  C. C. Chamis,et al.  Failure Criteria for Filamentary Composites , 1969 .