Progressive Failure Analysis of Multi-Directional Composite Laminates Based on the Strain-Rate-Dependent Northwestern Failure Theory

  • Joseph D. Schaefer
  • Brian T. Werner
  • Isaac M. Daniel
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)

Abstract

The failure progression of a fiber-reinforced toughened-matrix composite (IM7/8552) was experimentally characterized at quasi-static (10−4 s−1) strain rate using crossply and quasi-isotropic laminate specimens. A progressive failure framework was proposed to benchmark the initiation and progression of damage within composite laminates based on the matrix-dominated failure modes. The Northwestern Failure Theory (NU Theory) was used to provide a set of physics-based failure criteria for predicting the matrix-dominated failure of embedded plies using the lamina-based transverse tension, transverse compression, and shear failure strengths. The NU Theory was used to predict the first-ply-failure (FPF) of embedded plies in [0/904]s and [02/452/−452/902]s laminates for the embedded 90° and 45° plies. The Northwestern Criteria were found to provide superior prediction of the matrix-dominated embedded ply failure for all evaluated cases compared to the classical approaches. The results indicate the potential to use the Northwestern Criteria to provide the predictive baseline for damage propagation in composite laminates based on experimentally identified damage response on a length scale-relevant basis.

Keywords

Composites Failure Strain Rate Northwestern Failure Theory Verification and Validation 

Notes

Acknowledgement

Sandia National Laboratories is a multi-mission laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. Department of Energy’s National Nuclear Security Administration under contract DE-AC04-94AL85000.

References

  1. 1.
    Daniel, I.M., Ishai, O.: Engineering Mechanics of Composite Materials. Oxford University Press, Oxford (2006)Google Scholar
  2. 2.
    Reifsnider, K.L., Masters, J.E.: An investigation of cumulative damage development in quasi-isotropic graphite/epoxy laminates. In: Damage in Composite Materials ASTM STP 775, pp. 40–62. American Society for Testing and Materials, West Conshohocken (1982)Google Scholar
  3. 3.
    Henaff-Gardin, C., Lafarie-Frenot, M.C.: The use of a characteristic damage variable in the study of transverse cracking development under fatigue loading in cross-ply laminates. Int. J. Fatigue. 24(2–4), 389–395 (2002)CrossRefMATHGoogle Scholar
  4. 4.
    Kashtalyan, M., Soutis, C.: Stiffness degradation in cross-ply laminates damaged by transverse cracking and splitting. Compos. A: Appl. Sci. Manuf. 31(4), 335–351 (2000)CrossRefGoogle Scholar
  5. 5.
    Lee, J.-W., Daniel, I.M.: Progressive transverse cracking of crossply composite laminates. J. Compos. Mater. 24, 1225–1243 (1990)CrossRefGoogle Scholar
  6. 6.
    Li, C., Ellyin, F., Wharmby, A.: On matrix crack saturation in composite laminates. Compos. Part B Eng. 34(5), 473–480 (2003)CrossRefGoogle Scholar
  7. 7.
    Li, S., Jiang, C., Han, S.: Modeling of the characteristics of fiber-reinforced composite materials damaged by matrix-cracking. Compos. Sci. Technol. 43(2), 185–195 (1992)CrossRefGoogle Scholar
  8. 8.
    Reifsnider, K.L., Highsmith, A.L.: Stiffness reduction mechanisms in composite laminates. In: Damage in Composite Materials ASTM STP 775, pp. 103–117. American Society for Testing Materials, West Conshohocken (1982)Google Scholar
  9. 9.
    Tagarielli, V.L., Minisgallo, G., McMillan, A.J., Petrinic, N.: The response of a multi-directional composite laminate to through-thickness loading. Compos. Sci. Technol. 70(13), 1950–1957 (2010)CrossRefGoogle Scholar
  10. 10.
    Chou, P.C., Wang, A.S.D.: A stochastic model for the growth of matrix cracks in composite laminates. J. Compos. Mater. 18, 239–254 (1984)CrossRefGoogle Scholar
  11. 11.
    Chou, T.W., Fukunaga, H.: Probabilistic failure strength analysis of graphite/epoxy cross-ply laminates. J. Compos. Mater. 18, 339–356 (1984)CrossRefGoogle Scholar
  12. 12.
    Gamby, D., Rebière, J.L.: A two-dimensional analysis of multiple matrix cracking in a laminated composite close to its characteristic damage state. Compos. Struct. 25(1–4), 325–337 (1993)CrossRefGoogle Scholar
  13. 13.
    Huang, Z.Q., Nie, G.H., Chan, C.K.: An exact solution for stresses in cracked composite laminates and evaluation of the characteristic damage state. Compos. Part B Eng. 42(5), 1008–1014 (2011)CrossRefGoogle Scholar
  14. 14.
    Joffe, R., Varna, J.: Analytical modeling of stiffness reduction in symmetric and balanced laminates due to cracks in 90° layers. Compos. Sci. Technol. 59(11), 1641–1652 (1999)CrossRefGoogle Scholar
  15. 15.
    Vaughan, T.J., McCarthy, C.T.: Micromechanical modelling of the transverse damage behaviour in fibre reinforced composites. Compos. Sci. Technol. 71, 388–396 (2011)CrossRefGoogle Scholar
  16. 16.
    Daniel, I.M., Lee, J.-W.: Damage development in composite laminates under monotonic loading. J. Compos. Technol. Res. 12(2), 98–102 (1990)CrossRefGoogle Scholar
  17. 17.
    Karthikeyan, K., Russell, B.P., Fleck, N.A., Wadley, H.N.G., Deshpande, V.S.: The effect of shear strength on the ballistic response of laminated composite plates. Eur. J. Mech. A. Solids. 42(0), 35–53 (2013)CrossRefGoogle Scholar
  18. 18.
    Pandya, K.S., Dharmane, L., Pothnis, J.R., Ravikumar, G., Naik, N.K.: Stress wave attenuation in composites during ballistic impact. Polym. Test. 31(2), 261–266 (2012)CrossRefGoogle Scholar
  19. 19.
    Gower, H.L., Cronin, D.S., Plumtree, A.: Ballistic impact response of laminated composite panels. Int. J. Impact Eng. 35(9), 1000–1008 (2008)CrossRefGoogle Scholar
  20. 20.
    Mohan, S., Velu, S.: Ballistic impact behaviour of unidirectional fibre reinforced composites. Int. J. Impact Eng. 63(0), 164–176 (2014)CrossRefGoogle Scholar
  21. 21.
    Morye, S.S., Hine, P.J., Duckett, R.A., Carr, D.J., Ward, I.M.: Modelling of the energy absorption by polymer composites upon ballistic impact. Compos. Sci. Technol. 60(14), 2631–2642 (2000)CrossRefGoogle Scholar
  22. 22.
    Naik, N.K., Doshi, A.V.: Ballistic impact behaviour of thick composites: Parametric studies. Compos. Struct. 82(3), 447–464 (2008)CrossRefGoogle Scholar
  23. 23.
    Naik, N.K., Shrirao, P.: Composite structures under ballistic impact. Compos. Struct. 66(1–4), 579–590 (2004)CrossRefGoogle Scholar
  24. 24.
    Sevkat, E., Liaw, B., Delale, F., Raju, B.B.: A combined experimental and numerical approach to study ballistic impact response of S2-glass fiber/toughened epoxy composite beams. Compos. Sci. Technol. 69(7–8), 965–982 (2009)CrossRefGoogle Scholar
  25. 25.
    Shaktivesh, N.N.S., Sesha Kumar, C.V., Naik, N.K.: Ballistic impact performance of composite targets. Mater. Des. 51(0), 833–846 (2013)CrossRefGoogle Scholar
  26. 26.
    Halabe, U.B.: 18 – Non-destructive evaluation (NDE) of composites: Techniques for civil structures. In: Karbhari, V.M. (ed.) Non-Destructive Evaluation (NDE) of Polymer Matrix Composites, pp. 483–517e. Woodhead Publishing (2013)Google Scholar
  27. 27.
    Karbhari, V.M.: 1 – Introduction: The future of non-destructive evaluation (NDE) and structural health monitoring (SHM). In: Karbhari, V.M. (ed.) Non-Destructive Evaluation (NDE) of Polymer Matrix Composites, pp. 3–11. Woodhead Publishing (2013)Google Scholar
  28. 28.
    Chang, R.R.: Experimental and theoretical analyses of first-ply failure of laminated composite pressure vessels. Compos. Struct. 49(2), 237–243 (2000)CrossRefMathSciNetGoogle Scholar
  29. 29.
    Huang, J.Q.: 2 – Non-destructive evaluation (NDE) of composites: Acoustic emission (AE). In: Karbhari, V.M. (ed.) Non-Destructive Evaluation (NDE) of Polymer Matrix Composites, pp. 12–32. Woodhead Publishing (2013)Google Scholar
  30. 30.
    Kim, R.J.-Y., Choi, N.-S., Ferracane, J., Lee, I.-B.: Acoustic emission analysis of the effect of simulated pulpal pressure and cavity type on the tooth–composite interfacial de-bonding. Dent. Mater. 30, 876 (2014). (0)CrossRefGoogle Scholar
  31. 31.
    Maimı´, P., Camanho, P.P., Mayugo, J.A., Turon, A.: Matrix cracking and delamination in laminated composites. Part I: Ply constitutive law, first ply failure and onset of delamination. Mech. Mater. 43(4), 169–185 (2011)CrossRefGoogle Scholar
  32. 32.
    Njuhovic, E., Bräu, M., Wolff-Fabris, F., Starzynski, K., Altstädt, V.: Identification of interface failure mechanisms of metallized glass fibre reinforced composites using acoustic emission analysis. Compos. Part B Eng. 66, 443. (0)Google Scholar
  33. 33.
    Romanowicz, M.: Determination of the first ply failure load for a cross ply laminate subjected to uniaxial tension through computational micromechanics. Int. J. Solids Struct. 51(13), 2549–2556 (2014)CrossRefGoogle Scholar
  34. 34.
    Roozen, N.B., Tazelaar, K., Koussios, S., Beukers, A.: A new method to measure critical strain in composite materials – Combining the Euler–Fresnel spiral with acoustic emission to assess crack positions. Compos. Sci. Technol. 100(0), 228–236 (2014)CrossRefGoogle Scholar
  35. 35.
    Satish Kumar, Y.V., Srivastava, A.: First ply failure analysis of laminated stiffened plates. Compos. Struct. 60(3), 307–315 (2003)CrossRefGoogle Scholar
  36. 36.
    Woo, S.-C., Kim, T.-W.: High-strain-rate impact in Kevlar-woven composites and fracture analysis using acoustic emission. Compos. Part B Eng. 60(0), 125–136 (2014)CrossRefGoogle Scholar
  37. 37.
    Tittmann, B.R., Miyasaka, C., Guers, M., Kasano, H., Morita, H.: 16 – Non-destructive evaluation (NDE) of aerospace composites: Acoustic microscopy. In: Karbhari, V.M. (ed.) Non-Destructive Evaluation (NDE) of Polymer Matrix Composites, pp. 423–49e. Woodhead Publishing (2013)Google Scholar
  38. 38.
    Avdelidis, N.P., Gan, T.H.: 24 – Non-destructive evaluation (NDE) of Composites: Infrared (IR) thermography of wind turbine blades. In: Karbhari, V.M. (ed.) Non-Destructive Evaluation (NDE) of Polymer Matrix Composites, pp. 634–50e. Woodhead Publishing (2013)Google Scholar
  39. 39.
    Ley, O., Godinez, V.: 12 – Non-destructive evaluation (NDE) of aerospace composites: Application of infrared (IR) thermography. In: Karbhari, V.M. (ed.) Non-Destructive Evaluation (NDE) of Polymer Matrix Composites, pp. 309–36e. Woodhead Publishing (2013)Google Scholar
  40. 40.
    Shirazi, A., Karbhari, V.M.: 19 – Non-destructive evaluation (NDE) of composites: Application of thermography for defect detection in rehabilitated structures. In: Karbhari, V.M. (ed.) Non-Destructive Evaluation (NDE) of Polymer Matrix Composites, p. 515–541. Woodhead Publishing, 2013Google Scholar
  41. 41.
    Suratkar, A., Sajjadi, A.Y., Mitra, K.: 25 – Non-destructive evaluation (NDE) of composites for marine structures: Detecting flaws using infrared thermography (IRT). In: Karbhari, V.M. (ed.) Non-Destructive Evaluation (NDE) of Polymer Matrix Composites, pp. 649–68e. Woodhead Publishing (2013)Google Scholar
  42. 42.
    Feng, M.Q., Roqueta, G., Jofre, L.: 22 – Non-destructive evaluation (NDE) of composites: Microwave techniques. In: Karbhari, V.M. (ed.) Non-Destructive Evaluation (NDE) of Polymer Matrix Composites, pp. 574–616. Woodhead Publishing (2013)Google Scholar
  43. 43.
    Hsu, D.K.: 15 – Non-destructive evaluation (NDE) of aerospace composites: Ultrasonic techniques. In: Karbhari, V.M. (ed.) Non-Destructive Evaluation (NDE) of Polymer Matrix Composites, pp. 397–422. Woodhead Publishing (2013)Google Scholar
  44. 44.
    Dong, Y.: 23 – Non-destructive evaluation (NDE) of composites: Using fiber optic sensors. In: Karbhari, V.M. (ed.) Non-Destructive Evaluation (NDE) of Polymer Matrix Composites, pp. 617–633. Woodhead Publishing (2013)Google Scholar
  45. 45.
    Schaefer, J.D., Lee, J., Liguore, S.L., Richardson, T.D.: (2015, October 26–29). High Fidelity Test Database for Validation of Progressive Failure Analysis Methods. Composites and Advanced Materials Expo, Dallas, TX, USAGoogle Scholar
  46. 46.
    Francis, D.: 4 – Non-destructive evaluation (NDE) of composites: Introduction to shearography. In: Karbhari, V.M. (ed.) Non-Destructive Evaluation (NDE) of Polymer Matrix Composites, pp. 56–83. Woodhead Publishing (2013)Google Scholar
  47. 47.
    Schaefer, J.D., Justusson, B.P., Liguore, S.L., A comparison of emerging in-situ inspection techniques for validation of composite PDA methods, Society for the Advancement of Material and Process Engineering, Long Beach, CA, 23–26 May 2016Google Scholar
  48. 48.
    Daniel, I.M., Cho, J.-M., Werner, B.T., Fenner, J.S.: Characterization and constitutive modeling of composite materials under static and dynamic loading. AIAA J. 49(8), 1658–1664 (2011. 2011/08/01)CrossRefGoogle Scholar
  49. 49.
    Hart-Smith, L.J.: The role of biaxial stresses in discriminating between meaningful and illusory composite failure theories. Compos. Struct. 25(1–4), 3–20 (1993)CrossRefGoogle Scholar
  50. 50.
    Hart-Smith, L.J.: A re-examination of the analysis of in-plane matrix failures in fibrous composite laminates. Compos. Sci. Technol. 56(2), 107–121 (1996)CrossRefGoogle Scholar
  51. 51.
    Hart-Smith, L.J.: Predictions of a generalized maximum-shear-stress failure criterion for certain fibrous composite laminates. Compos. Sci. Technol. 58(7), 1179–1208 (1998)CrossRefGoogle Scholar
  52. 52.
    Hart-Smith, L.J.: Comparison between theories and test data concerning the strength of various fibre–polymer composites. Compos. Sci. Technol. 62(12–13), 1591–1618 (2002)CrossRefGoogle Scholar
  53. 53.
    Deng, S., Li, X., Lin, H., Weitsman, Y.J.: The non-linear response of quasi-isotropic composite laminates. Compos. Sci. Technol. 64(10–11), 1577–1585 (2004)CrossRefGoogle Scholar
  54. 54.
    Cândido, G.M., Costa, M.L., Rezende, M.C., Almeida, S.F.M.: Hygrothermal effects on quasi-isotropic carbon epoxy laminates with machined and molded edges. Compos. Part B Eng. 39(3), 490–496 (2008)CrossRefGoogle Scholar
  55. 55.
    Ogi, K., Kim, H.S., Maruyama, T., Takao, Y.: The influence of hygrothermal conditions on the damage processes in quasi-isotropic carbon/epoxy laminates. Compos. Sci. Technol. 59(16), 2375–2382 (1999)CrossRefGoogle Scholar
  56. 56.
    Tong, J., Guild, F.J., Ogin, S.L., Smith, P.A.: On matrix crack growth in quasi-isotropic laminates—I. Experimental investigation. Compos. Sci. Technol. 57(11), 1527–1535 (1997)CrossRefGoogle Scholar
  57. 57.
    Tong, J., Guild, F.J., Ogin, S.L., Smith, P.A.: On matrix crack growth in quasi-isotropic laminates—II. Finite element analysis. Compos. Sci. Technol. 57(11), 1537–1545 (1997)CrossRefGoogle Scholar
  58. 58.
    Swanson, S.R., Trask, B.C.: Strength of quasi-isotropic laminates under off-axis loading. Compos. Sci. Technol. 34(1), 19–34 (1989)CrossRefGoogle Scholar
  59. 59.
    Hallett, S.R., Jiang, W.-G., Khan, B., Wisnom, M.R.: Modelling the interaction between matrix cracks and delamination damage in scaled quasi-isotropic specimens. Compos. Sci. Technol. 68(1), 80–89 (2008)CrossRefGoogle Scholar
  60. 60.
    Chen, J.-F., Morozov, E.V., Shankar, K.: Simulating progressive failure of composite laminates including in-ply and delamination damage effects. Compos. A: Appl. Sci. Manuf. 61(0), 185–200 (2014)CrossRefGoogle Scholar
  61. 61.
    Herakovich, C.T.: Failure modes and damage accumulation in laminated composites with free edges. Compos. Sci. Technol. 36(2), 105–119 (1989)CrossRefGoogle Scholar
  62. 62.
    Zhou, G., Sim, L.M., Brewster, P.A., Giles, A.R.: Through-the-thickness mechanical properties of smart quasi-isotropic carbon/epoxy laminates. Compos. A: Appl. Sci. Manuf. 35(7–8), 797–815 (2004)CrossRefGoogle Scholar
  63. 63.
    Paradies, R.: Designing quasi-isotropic laminates with respect to bending. Compos. Sci. Technol. 56(4), 461–472 (1996)CrossRefGoogle Scholar
  64. 64.
    Edgren, F., Asp, L.E., Joffe, R.: Failure of NCF composites subjected to combined compression and shear loading. Compos. Sci. Technol. 66(15), 2865–2877 (2006)CrossRefGoogle Scholar
  65. 65.
    Esrail, F., Kassapoglou, C.: An efficient approach to determine compression after impact strength of quasi-isotropic composite laminates. Compos. Sci. Technol. 98(0), 28–35 (2014)CrossRefGoogle Scholar
  66. 66.
    Garg, A.C.: The fracture mechanics of some graphite fibre-reinforced epoxy laminates, part 1: Quasi-isotropic laminates. Composites. 17(2), 141–149 (1986)CrossRefGoogle Scholar
  67. 67.
    Guedes, R.M., de Moura, M.F.S.F., Ferreira, F.J.: Failure analysis of quasi-isotropic CFRP laminates under high strain rate compression loading. Compos. Struct. 84(4), 362–368 (2008)CrossRefGoogle Scholar
  68. 68.
    Kaddour, A.S., Hinton, M.J., Soden, P.D.: A comparison of the predictive capabilities of current failure theories for composite laminates: Additional contributions. Compos. Sci. Technol. 64(3–4), 449–476 (2004)CrossRefGoogle Scholar
  69. 69.
    Park, I.K., Park, K.J., Kim, S.J.: Rate-dependent damage model for polymeric composites under in-plane shear dynamic loading. Comput. Mater. Sci. 96, 506. (0)Google Scholar
  70. 70.
    Schultheisz, C.R., Waas, A.M.: Compressive failure of composites, part I: Testing and micromechanical theories. Prog. Aerosp. Sci. 32(1), 1–42 (1996)CrossRefGoogle Scholar
  71. 71.
    Soden, P.D., Hinton, M.J., Kaddour, A.S.: A comparison of the predictive capabilities of current failure theories for composite laminates. Compos. Sci. Technol. 58(7), 1225–1254 (1998)CrossRefGoogle Scholar
  72. 72.
    Sun, C.T., Tao, J.: Prediction of failure envelopes and stress/strain behaviour of composite laminates. Compos. Sci. Technol. 58(7), 1125–1136 (1998)CrossRefGoogle Scholar
  73. 73.
    Wolfe, W.E., Butalia, T.S.: A strain-energy based failure criterion for non-linear analysis of composite laminates subjected to biaxial loading. Compos. Sci. Technol. 58(7), 1107–1124 (1998)CrossRefGoogle Scholar
  74. 74.
    Zubillaga, L., Turon, A., Maimí, P., Costa, J., Mahdi, S., Linde, P.: An energy based failure criterion for matrix crack induced delamination in laminated composite structures. Compos. Struct. 112(0), 339–344 (2014)CrossRefGoogle Scholar
  75. 75.
    Welsh, J.S., Mayes, J.S., Biskner, A.C.: 2-D biaxial testing and failure predictions of IM7/977-2 carbon/epoxy quasi-isotropic laminates. Compos. Struct. 75(1–4), 60–66 (2006)CrossRefGoogle Scholar
  76. 76.
    Tay, T.E., Lim, E.H.: Analysis of stiffness loss in cross-ply composite laminates. Compos. Struct. 25(1–4), 419–425 (1993)CrossRefGoogle Scholar
  77. 77.
    Bogetti, T.A., Hoppel, C.P.R., Harik, V.M., Newill, J.F., Burns, B.P.: Predicting the nonlinear response and progressive failure of composite laminates. Compos. Sci. Technol. 64(3–4), 329–342 (2004)CrossRefGoogle Scholar
  78. 78.
    Whitney, J.M.: On the ‘ply discount method’ for determining effective thermo-elastic constants of laminates containing transverse cracks. Compos. A: Appl. Sci. Manuf. 36(10), 1347–1354 (2005)CrossRefGoogle Scholar
  79. 79.
    Sun, C.T., Tao, J., Kaddour, A.S.: The prediction of failure envelopes and stress/strain behavior of composite laminates: Comparison with experimental results. Compos. Sci. Technol. 62(12–13), 1673–1682 (2002)CrossRefGoogle Scholar
  80. 80.
    Daniel, I.M., Schaefer, J.D., Werner, B.: Yield criteria for matrix and composite materials under static and dynamic loading, 20th international conference on composite materials, 19–24 July 2015Google Scholar
  81. 81.
    Schaefer, J.D., Daniel, I.M.: Strain-Rate-Dependent Yield Criteria for Composite Laminates, Fracture, Fatigue, Failure, and Damage Evolution, vol. 8, pp. 197–208. Springer International Publishing (2016)Google Scholar
  82. 82.
    Schaefer, J.D., Daniel, I.M.: Characterization and modeling of progressive damage of angle-ply composite laminates under varying strain rate loading, 31st ASC technical conference and ASTM D30 meeting 2016Google Scholar
  83. 83.
    Schaefer, J.D., Werner, B.T., Daniel, I.M.: Strain-rate-dependent failure of a toughened matrix composite. Exp. Mech. 54(6), 1111–1120 (2014)CrossRefGoogle Scholar
  84. 84.
    Schaefer, J.D. Justusson, B.P., Liguore, S.L., Renieri, G.D.: Assessment of predictive capabilities of progressive damage analysis methods using high fidelity experiments for validation, Society for the advancement of material and process engineering, Long Beach, 23–26 May 2016Google Scholar
  85. 85.
    Razi, H., Schaefer, J.D., Wanthal, S.: Rapid integration of new analysis methods in production, 31st ASC technical conference and ASTM D30 meeting 2016Google Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Joseph D. Schaefer
    • 1
  • Brian T. Werner
    • 2
  • Isaac M. Daniel
    • 3
  1. 1.The Boeing CompanyBerkeleyUSA
  2. 2.Sandia National LaboratoriesLivermoreUSA
  3. 3.Northwestern UniversityEvanstonUSA

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