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.


Stress Intensity Factor Anisotropic Elasticity Fredholm Integral Equation Elastic Symmetry Antiplane Shear 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  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

Personalised recommendations