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A Progressive Failure Analysis Applied to Fiber-Reinforced Composite Plates Subject to Out-of-Plane Bending

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Mechanics of Composite Materials Aims and scope

The ability to predict the structural response of composites offers a significant advantage to design engineers and provides the possibility of identifying structurally efficient composite assemblies. Various analytical and numerical models are possible, but care has to be taken to ensure that the appropriate structural performance and failure criteria are used. In particular, modeling the progressive failure of composite laminas requires robust and validated failure algorithms that are not only computationally efficient, but are also able to predict the load–deformation characteristics and to ultimately establish the failure load appropriately. This study looks into different progressive failure macromechanical algorithms applied to e-glass-fiber-reinforced composite plates subject to out-of-plane bending. The influence of different boundary conditions of the plates, ranging from fully clamped to simply supported ones, on their ultimate failure load is also investigated. The results are validated by experimental data found in the literature and show that boundary conditions have a significant influence on the predicted ultimate failure load. The study also shows that, in this case, the predominant failure mechanism is the failure of matrix, and after the redistribution of stresses, no consecutive failure due to fiber or fiber-matrix failure occurs in the lamina, therefore a sudden-degradation progressive ply failure algorithm based on the failure mode is sufficient to model the structural performance of composite plates subject to out-of-plane bending.

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References

  1. Gully tops and manhole tops for vehicular and pedestrian areas - Design requirements — Type testing, marking, BS EN 124:1994, 1994

  2. P. M. Manne and S. W. Tsai, “Design optimization of composite plates. Part I. Design criteria for strength, stiffness, and manufacturing complexity of composite laminates,” J. Compos. Materials, 32, 544–571 (1998).

    Article  Google Scholar 

  3. G. Eckold, “Failure criteria for use in the design environment,” Compos. Sci. Technol., 58, 1095–1105 (1998).

    Article  Google Scholar 

  4. G. Naik and A. Murty, “Failure mechanism-based approach for design of composite laminates,” Composite Structures, 45, 71–80 (1999).

    Article  Google Scholar 

  5. J. S. Rajadurai and G. Thanigaiyarasu, “Structural analysis, failure prediction, and cost analysis of alternative materials sfor composite wind turbine blades,” Mechanics of Advanced Materials and Structures, 16, 467–487 (2009).

    Article  Google Scholar 

  6. M. R. Garnich and V. M. K. Akula, “Review of degradation models for progressive failure analysis of fiber-reinforced polymer composites,” Appl. Mech. Rev., 62, No. 1, 1–33 (2009).

    Article  Google Scholar 

  7. Y. Zhang and C. Yang, “Recent developments in finite element analysis for laminated composite plates,” Composite Structures, 88, No. 1, 147–157 (2009).

    Article  Google Scholar 

  8. C. A. Coulomb, “Essai sur une application des regles des maximis et minimis a quelquels problemesde statique relatifs, a la architecture,” Mem. Acad. Roy. Div. Sav., 7, 343–387 (1776).

    Google Scholar 

  9. R. E. Rowlands, “Strength (Failure) Theories and Their Experimental Correlations,” in Handbook of Composites, 3rd ed., G. C. Sih and A. M. Skudra, Eds. New York: Elsevier, 1985, pp. 71–125.

  10. M. N. Nahas, “Survey of failure and post-failure theories of laminated fiber-reinforced composites,” J. Compos. Technol. Res., 8, No. 4, 138–153 (1986).

    Article  Google Scholar 

  11. J. F. Echaabi and F. Trochu, “Review of failure criteria of fibrous composite materials,” Polym. Compos., 17, No. 6, 786–798 (1996).

    Article  Google Scholar 

  12. M. J. Hinton and P. D. Soden, “Predicting failure in composite laminates: the background to the exercise,” Compos. Sci. Technol., 58, No. 7, 1001–1010 (1998).

    Article  Google Scholar 

  13. P. D. Soden, M. J. Hinton, and A. S. Kaddour, “A comparison of the predictive capabilities of current failure theories for composite laminates,” Compos. Sci. Technol., 58, No. 7, 1225–1254 (1998).

    Article  Google Scholar 

  14. M. J. Hinton, A. S. Kaddour, and P. D. Soden, “A comparison of the predictive capabilities of current failure theories for composite laminates, judged against experimental evidence,” Compos. Sci. Technol., 62, Nos. 12–13, 1725-1797 (2002).

    Article  Google Scholar 

  15. F. Paris, “A study of failure criteria of fibrous composite materials,” NASA/CR-2001-210661, 2001.

  16. R. C. Tennyson and G. E. Wharam, “Evaluation of a failure criterion for graphite-epoxy,” NASA CR-172547., 1985.

  17. L. Tong, “An assessment of failure criteria to predict the strength of adhesively bonded composite double-lap joints,” J. Reinf. Plast. Compos., 16, No. 8, 698–713 (1997).

    Google Scholar 

  18. U. Icardi, S. Locatto, and A. Longo, “Assessment of recent theories for predicting the failure of composite laminates,” Appl. Mech. Rev., 60, No. 1-6, 76–86 (2007).

    Article  Google Scholar 

  19. U. Icardi and L. Ferrero, “A comparison among several recent criteria for the failure analysis of composites,” J. Advanced Materials, 40, No. 4, 73–111 (2008).

    Google Scholar 

  20. P. Liu and J. Zheng, “Recent developments on damage modeling and finite element analysis for composite laminates: A review,” Materials and Design, 31, No. 8, 3825–3834 (2010).

    Article  Google Scholar 

  21. P. Labossiere and K. Neale, “Macroscopic failure criteria for fiber-reinforced composite materials,” SM archives, 12, 65–95 (1987).

    Google Scholar 

  22. S. W. Tsai and E. M. Wu, “A general theory of strength for anisotropic materials,” J. Comp. Mater., 5, 58–80 (1971).

    Article  Google Scholar 

  23. I. Gol’denblat and V. A. Kopnov, “Strength of glass-reinforced plastics in a complex stress state,” Polym. Mech., 1, No. 2, 54–59 (1965).

    Article  Google Scholar 

  24. R. Narayanaswami and H. M. Adelman, “Evaluation of the tensor polynomial and Hoffman strength theories for composite materials,” J. Compos. Mater., 11, No. 4, 366–377 (1977).

    Article  Google Scholar 

  25. R.Y. Wu and Z. Stachurski, “Evaluation of the normal stress interaction parameter in the tensor polynomial strength theory for anisotropic materials,” J. Compos. Materials, 18, No. 5, 456–463 (1984).

    Article  Google Scholar 

  26. Z. Hashin, “Failure criteria for unidirectional fiber composites,” ASME J. Appl. Mech., 47, 329–334 (1980).

    Article  Google Scholar 

  27. J. R. Vinson and R. L. Sierakowski, “Laminate strength analysis,” in The Behavior of Structures Composed of Composite Materials (Solid mechanics and its applications), Kluwer Academic, Boston, 105, ch. 7, p. 328 (2004).

  28. G. S. Padhi, R. A. Shenoi, S. S. J. Moy, and G. L. Hawkins, “Progressive failure and ultimate collapse of laminated composite plates in bending,” Compos. Struct., 40, Nos. 3-4, 277–291 (1998).

    Article  Google Scholar 

  29. Y. J. Lee and W. H. Chen, “Failure process and bolted joint strength of composite laminates,” J. Chin. Soc. Mech. Eng., 9, No. 3, 169–182 (1988).

    Google Scholar 

  30. W. H. Chen and Y. J. Lee, “The effects of clearance and pin elasticity on the bearing strength of composite laminates,” J. Chin. Soc. Mech. Eng., 11, No. 2, 147–157 (1990).

    Google Scholar 

  31. M. W. Hyer, G. F. Wolford, and N. F. Knight Jr., “Damage initiation and progression in internally pressurized noncircular composite cylinders,” in Proc. 44th AIAA / ASME / ASCE / AHS Structures, Structural Dynamics, and Materials, Norfolk, VA, pp. 1702–1712, 2003.

  32. J. H. Kweon, C. S. Hong, and L. C. Lee, “Postbuckling compressive strength of graphite/epoxy laminated cylindrical panels loaded in compression,” AIAA J., 33, No. 2, 217–222 (1995).

    Article  Google Scholar 

  33. J. H. Kweon, “Post-failure analysis of composite cylindrical panels under compression,” J. Reinf. Plast. Compos., 17, No. 18, 1665–1681 (1998).

    Google Scholar 

  34. J. H. Kweon, “Crippling analysis of composite stringers based on complete unloading method,” Comput. Struct., 80, No. 27-30, 2167–2175 (2002).

    Article  Google Scholar 

  35. I. C. Lee, C. G. Kim, and C. S. Hong, “Buckling and postbuckling behavior of stiffened composite panels loaded in compression,” AIAA J., 35, No. 1, 202–204 (1997).

    Article  Google Scholar 

  36. X. K. Sun, S. Y. Du, and G. D. Wang, “Bursting problem of filament-wound composite pressure vessels,” Int. J. Pressure Vessels Piping, 76, No.1, 55–59 (1999).

    Article  Google Scholar 

  37. S. P. Engelstad, J. N. Reddy, and N. F. Knight Jr., “Postbuckling response and failure prediction of graphite-epoxy plates loaded in compression,” AIAA J., 30, No. 8, 2106–2113 (1992).

    Article  Google Scholar 

  38. R. Ganesan and D. Zhang, “Progressive failure analysis of composite laminates subjected to in-plane compressive and shear loadings,” Sci. Eng. Compos. Mater., 11, No. 2-3, 79–102 (2004).

    Google Scholar 

  39. S. Moy, R. Shenoi, and H. G. Allen, “Strength and stiffness of fiber-reinforced plastic plates,” Proc. ICE - Structures and Buildings, 116, No. 2, 204–220 (1996).

    Article  Google Scholar 

  40. A. E. H. Love, “On the small free vibrations and deformations of elastic shells,” Philosophical trans. of the Royal Society (London), vol. série A, No. 17, 491–549, (1888).

  41. E. Reissner, “The effect of transverse shear deformation on the bending of elastic plates,” ASME J.l of Applied Mechanics, 12, A68–77 (1945).

    Google Scholar 

  42. R. D. Mindlin, “Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates,” ASME J. of Applied Mechanics, 18, 31–38 (1951).

    Google Scholar 

  43. ANSYS® Academic Research, Release 13.0.

  44. R. von Mises, “Mechanik der festen Körper im plastisch deformablen Zustand,” Göttin. Nachr. Math. Phys., 1, 582–592 (1913).

    Google Scholar 

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Acknowledgements

The project was financed by the Malta Council for Science and Technology (MCST) through the National Research & Innovation Programme 2009 (R&I-2009-010). The numerical simulation software and computational facilities were cofinanced by the ERDF 79 ‘Setting up of the mechanical engineering computer modeling and simulation laboratory’.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering, University of Malta, Msida, MSD 2080, Malta

    B. Ellul & D. Camilleri

  2. Department of Metallurgy and Materials Engineering, Faculty of Engineering, University of Malta, Msida, MSD 2080, Malta

    J. C. Betts

Authors
  1. B. Ellul
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  2. D. Camilleri
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  3. J. C. Betts
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Correspondence to B. Ellul.

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Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 49, No. 6, pp. 911-932, November-December, 2013.

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Ellul, B., Camilleri, D. & Betts, J.C. A Progressive Failure Analysis Applied to Fiber-Reinforced Composite Plates Subject to Out-of-Plane Bending. Mech Compos Mater 49, 605–620 (2014). https://doi.org/10.1007/s11029-013-9377-8

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