Acta Mechanica Solida Sinica

, Volume 24, Issue 5, pp 399–410 | Cite as

A Damage Mechanics Model for Fatigue Life Prediction of Fiber Reinforced Polymer Composite Lamina

  • Wenjing Shi
  • Weiping Hu
  • Miao Zhang
  • Qingchun Meng


A damage mechanics fatigue life prediction model for the fiber reinforced polymer lamina is established. The stiffness matrix of the lamina is derived by elastic constants of fiber and matrix. Two independent damage degrees of fiber and matrix are introduced to establish constitutive relations with damage. The damage driving forces and damage evolution equations for fiber and matrix are derived respectively. Fatigue tests on 0° and 90° unidirectional laminates are conducted respectively to identify parameters in damage evolution equations of fiber and matrix. The failure criterion of the lamina is presented. Finally, the life prediction model for lamina is proposed.

Key words

fiber reinforced polymer composite lamina continuum damage mechanics fatigue life prediction fiber breakage matrix cracking 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Talerja, R., Fatigue of Composite Materials. Lancaster: Technomic Publishing Company, 1987.Google Scholar
  2. [2]
    Reifsnider, K.L., Fatigue of Composite Materials. New York: Elsevier Science Publishers, 1991.Google Scholar
  3. [3]
    Hashin, Z. and Rotem, A., Fatigue failure criterion for fiber reinforced materials. Journal of Composite Materials, 1973, 7(10): 448–464.CrossRefGoogle Scholar
  4. [4]
    Wang, F., Zeng, X.G. and Zhang, J.Q., Predictive approach to failure of composite laminates with equivalent constraint model. Acta Mechanica Solida Sinica, 2010, 23(3): 240–247.CrossRefGoogle Scholar
  5. [5]
    Gamstedt, E.K. and Talreja, R., Fatigue damage mechanisms in unidirectional carbon-fiber-reinforced plastics. Journal of materials science, 1999, 34: 2535–2546.CrossRefGoogle Scholar
  6. [6]
    Quaresimin, M., Susmel, L. and Talreja, R., Fatigue behaviors and life assessment of composite laminates under multiaxial loadings. International Journal of Fatigue, 2010, 32: 2–16.CrossRefGoogle Scholar
  7. [7]
    Tang, C.Y., Fan, J.P. and Tsui, C.P., et al., Quantification of shear damage evolution in aluminum alloy 2024T3. Acta Mechanica Solida Sinica, 2007, 20(1): 57–64.CrossRefGoogle Scholar
  8. [8]
    Yao, W.X. and Himmel, N., A new cumulative fatigue damage model for fiber-reinforced plastics. Composites Science and Technology, 2000, 60: 59–64.CrossRefGoogle Scholar
  9. [9]
    Talerja, R., Stiffness properties of composite laminates with matrix cracking and interior delamination, Engineering of Fracture Mechanics, 1986, 25: 751–762.CrossRefGoogle Scholar
  10. [10]
    Zhang, J.Q. and Hermann, K.P., Stiffness degradation Induced by multilayer intralaminar cracking in composite laminates. Composites Materials, 1999, 30: 683–706.Google Scholar
  11. [11]
    Bathias, C., An engineering point of view about fatigue of polymer matrix composite materials. International Journal of Fatigue, 2006, 28: 1094–1099.CrossRefGoogle Scholar
  12. [12]
    E.Kadi, H. and Al-Assaf, Y., Energy-based fatigue life prediction of fiberglass/epoxy composites using modular neural networks. Composite Structures, 2002, 57(1): 85–89.CrossRefGoogle Scholar
  13. [13]
    Takahara, A. tsushi, et al., Effect of glass fiber-matrix polymer interaction on fatigue characteristic of short glass fiber reinforced ploy (butylene tereph thalate) based on dynamic viscoelastic measurement during the fatigue process. Journal of Polymer Science, Part B, 1994, 32: 174–181.CrossRefGoogle Scholar
  14. [14]
    Kozin, F. and Bogdanoff, J.L., Recent thoughts on probabilistic fatigue crack growth. Applied Mechanics Reviews, 1989, 42(11): 121–127.CrossRefGoogle Scholar
  15. [15]
    Ganesan, R., Astochastic cumulative damage model for the fatigue response of laminated composite. ICCM-11, 1997: 145–156.Google Scholar
  16. [16]
    Feng, X.Q. and Yu, S.W., Damage micromechanics for constitutive relations and failure of microcracked quasi-brittle materials. International Journal of Damage Mechanics, 2010, 19(11): 911–948.CrossRefGoogle Scholar
  17. [17]
    Zhang, X. and Zhao, J., Applied Fatigue Damage Mechanics of Metallic Structural Members. Beijing: National Defence Industry Press, 1994.Google Scholar
  18. [18]
    Lematre, J., A Course on Damage Mechanics. New York: Springer-Verlag, 1992.CrossRefGoogle Scholar
  19. [19]
    Research Institute of Aerospace Industry Ministry, Composites Design Handbook. Beijing: Aviation Industry Press, 1990.Google Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2011

Authors and Affiliations

  • Wenjing Shi
    • 1
  • Weiping Hu
    • 1
  • Miao Zhang
    • 1
  • Qingchun Meng
    • 1
  1. 1.Institute of Solid Mechanics, School of Aeronautics Science and EngineeringBeiHang UniversityBeijingChina

Personalised recommendations