Abstract
The problem of an orthotropic infinite plate of finite width containing a centrally located stressed Griffith crack is considered. The crack is located perpendicular to the edges of the orthotropic plate. The crack tips are fully yielded and in the inelastic zones the material carries only constant normal stresses equal to the yield stress. Dugdale's model is employed to find the effects of the material anisotropy on the size of the plastic zones around the crack tips. Graphical results showing the effects of anisotropy on the length of the plastic zone are also presented.
Similar content being viewed by others
References
D.S. Dugdale, Journal of the Mechanics and Physics of Solids 8 (1960) 100–104.
H.F. Brinson, Experimental Mechanics (1970) 72–79.
S.W. Tsai and H.T. Hahn, Failure Analysis of Composite Materials in Elastic Behavior of Composite Materials, C.T. Herakovich (ed.), American Society of Mechanical Engineers (1975) 73–96.
Y.M. Tsai, Journal of Composite Materials (1982) 358–370.
F. Erdogan and M. Bakioglu, International Journal of Fracture 11(6) (1975) 1031–1039.
V.Z. Parton and E.M. Morozov, Elastic-plastic Fracture Mechanics, Mir Publishers (1978).
P.M. Vitvitskii, V.V. Panasyuk and S. Ya. Yarema, Engineering Fracture Mechanics (1975) 305–318.
I.N. Sneddon and R.P. Srivastav, International Journal of Engineering Science 9 (1971) 479–488.
P.K. Satapathy and H. Parhi, International Journal of Engineering Science 16 (1978) 147–154.
N.I. Muskhelishvili, Some Basic Problems of Mathematical Theory of Elasticity, Groningen, Netherlands (1953) (Translation from Russian 1948).
R.M. Christensen, Mechanics of Composite Mateeials, John Wiley and Sons (1979) 155.
T. Mura, Micromechanics of Defects in Solids, 2nd edn., Kluwer Academic Publishers (1982).
G.C. Sih, in: Mechanics of Fracture, Vol. 1, Noordhoff International Publishing, Leyden (1973) 324–327.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Danyluk, H.T., Singh, B.M. & Vrbik, J. Plastic zones in an orthotropic plate of finite width containing a Griffith crack. Int J Fract 75, 307–322 (1996). https://doi.org/10.1007/BF00019611
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF00019611