Cracks in materials possessing homogeneous anisotropy

  • George C. Sih
  • E. P. Chen
Part of the Mechanics of fracture book series (MEFA, volume 6)


The increasing use of advanced composite materials in high performance structures has brought a renewed interest in the analysis of materials possessing anisotropy and/or nonhomogeneity. Typically, the application involves filament-reinforced composites stacked in layers to form a laminate. The question of whether the mechanical behavior of such composites can be adequately described by the theory of homogeneous anisotropic elasticity does not possess a general answer. Each situation must be analyzed individually depending on the mechanical properties of the structural elements and construction of the composite system. A comparison between the theory of homogeneous anisotropy and nonhomogeneous isotropy has been made by Sih et al. [1] for the fracture of filament-reinforced composites.


Anisotropy Graphite Boron Epoxy Brittle 


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  1. [1]
    Sih, G. C., Chen, E. P., Huang, S. L. and McQuillen, E. J., Material characterization on the fracture of filament-reinforced composites, J. Composite Materials, 9, pp. 167–186 (1975).CrossRefGoogle Scholar
  2. [2]
    Voigt, W., Lehrbuch der Kristaffphsik, Second edition, Teubner, Leipzig (1928).Google Scholar
  3. [3]
    Composite materials workshop, edited by S. W. Tsai, J. C. Halpur and N. J. Pagano, Technomic Publishing Co., Inc., Stamford, Connecticut (1968).Google Scholar
  4. [4]
    Sih, G. C., Paris, P. C. and Irwin, G. R., On cracks in rectilinearly anisotropic bodies, International Journal of Fracture Mechanics, 1, pp. 189–203 (1965).CrossRefGoogle Scholar
  5. [5]
    Lekhnitskii, S. G., Theory of elasticity of an anisotropic elastic body, Holden-Day, San Francisco (1963).MATHGoogle Scholar
  6. [6]
    Sih, G. C. and Liebowitz, H., Mathematical theories of brittle fracture, Chapter 2 in Fracture, Volume II, edited by H. Liebowitz, Academic Press, New York, pp. 67–190 (1968).Google Scholar
  7. [7]
    Kassir, M. K. and Sih, G. C., Three dimensional crack problems, Volume 2 in Mechanics of Fracture Series, edited by G. C. Sih, Noordhoff International Publishing, Leyden, pp. 360–372 (1975).Google Scholar
  8. [8]
    Chen, E. P. and Sih, G. C., Torsional and anti-plane strain delamination of an orthotropic layered composite, Development in Mechanics, Volume 7, Proceedings of the Thirteenth Midwestern Mechanics Conference, University of Pittsburgh Press, pp. 763–776 (1973).Google Scholar
  9. [9]
    Muskhelishvili, N. I., Some basic problems of mathematical theory of elasticity, Noordhoff, Groningen (1953).MATHGoogle Scholar
  10. [10]
    Bowie, O. L. and Freese, C. E., Central crack in plane orthotropic rectangular sheet, International Journal of Fracture Mechanics, 8, pp. 49–57 (1972).CrossRefGoogle Scholar
  11. [11]
    Green, A. E. and Zerna, W., Theoretical Elasticity, Oxford University Press, Oxford, pp. 126–131 (1968).MATHGoogle Scholar
  12. [12]
    Copson, E. T., On certain dual integral equations, Proceedings Glasgow Mathematical Association, 5, pp. 19–24 (1961).MathSciNetGoogle Scholar
  13. [13]
    Satapathy, P. K. and Parhi, H., Stresses in an orthotropic strip containing a Griffith crack, International Journal of Engineering Science, 16, pp. 147–154 (1978).MATHCrossRefGoogle Scholar
  14. [14]
    Tauchert, T. R. and Guzelsu, A. N., An experimental study of dispersion of stress waves in a fiber-reinforced composite, Journal of Applied Mechanics, 39, pp. 98–102 (1972).ADSCrossRefGoogle Scholar
  15. [15]
    Kriz, R. D. and Stinchcomb, W. W., Elastic moduli of transversely isotropic graphite fibers and their composites, Experimental Mechanics, 19, pp. 41–49 (1979).CrossRefGoogle Scholar
  16. [16]
    Konishi, Y. and Atsumi, A., Crack problem of transversely isotropic strip, International Journal of Engineering Science, 11, pp. 9–20 (1973).MATHCrossRefGoogle Scholar
  17. [17]
    Parhi, H. and Atsumi, A., The distribution of stress in a transversely isotropic cylinder containing a penny-shaped crack, International Journal of Engineering Science, 13, pp. 675–685 (1975).MATHCrossRefGoogle Scholar
  18. [18]
    Arin, K., An orthotropic laminate composite containing a layer with a crack, Institute of Fracture and Solid Mechanics Report IFSM-74-51, Lehigh University (1974).Google Scholar
  19. [19]
    Gandhi, K. R., Analysis of an inclined crack centrally placed in an orthotropic rectangular plate, Journal of Strain Analysis, 7, pp. 157–162 (1972).CrossRefGoogle Scholar
  20. [20]
    Sih, G. C., A review of the three-dimensional stress problem for a cracked plate, International Journal of Fracture Mechanics, 1, pp. 39–61 (1971).Google Scholar
  21. [21]
    Sih, G. C. and Embley, G. T., Cracks in anisotropic bodies in a state of generalized plane deformation, Institute of Fracture and Solid Mechanics Technical Report (1970).Google Scholar

Copyright information

© Martinus Nijhoff Publishers bv, The Hague 1981

Authors and Affiliations

  • George C. Sih
    • 1
  • E. P. Chen
    • 2
  1. 1.Lehigh UniversityBethlehemUSA
  2. 2.Sandia LaboratoriesAlbuquerqueUSA

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