Partial closure of a crack located in an anisotropic infinite elastic layer

In this paper, a partially closed crack problem in an anisotropic infinite elastic layer loaded by a transverse pair of compressive concentrated forces P and a pair of uniform tensile stress p0 along the crack surface is considered. Friction and gravity forces are neglected. The partial closure problem is solved by assuming that the stress-intensity factor vanishes at the end point of the closure portion. The problem is formulated in terms of a singular integral equation for the derivative of the crack surface displacement. Numerical results related to the effect of material anisotropy on the stress-intensity factor k(c), the closure length a and the load factor Q are presented in graphical and tabular form.

[1]  H. Choi,et al.  Stress analysis of multilayered anisotropic elastic media , 1991 .

[2]  F. Erdogan,et al.  On the numerical solution of singular integral equations , 1972 .

[3]  O. Aksogan.  Nonhomogeneous nonsymmetrical plane problems with several griffith cracks one or two partially closed , 1976 .

[4]  Steen Krenk,et al.  On the use of the interpolation polynomial for solutions of singular integral equations , 1975 .

[5]  M. R. Geçit.  A cracked elastic strip bonded to a rigid support , 1978 .

[6]  N. J. Pagano,et al.  Influence of Shear Coupling in Cylindrical. Bending of Anisotropic Laminates , 1970 .

[7]  A. Birinci,et al.  Partial closure of a crack located in an infinite elastic layer , 2003 .

[8]  Marco Beghini,et al.  Effective stress intensity factor and contact stress for a partially closed Griffith crack in bending , 1996 .

[9]  S. Timoshenko,et al.  Theory of elasticity , 1975 .

[10]  Y. Chen.  A contact crack problem in an infinite plate , 1999 .

[11]  E. E. Burniston,et al.  The effect of partial closure on the stress intensity factor of a Griffith crack opened by a parabolic pressure distribution , 1970, International Journal of Fracture.

[12]  E. E. Burniston.  An example of a partially closed griffith crack , 1969 .

[13]  O. Aksogan,et al.  Partial closure of a Griffith crack under a general loading , 1975 .

[14]  F. Erdogan,et al.  The crack-contact and the free-end problem for a strip under residual stress , 1977 .

[15]  S. G. Lekhnit︠s︡kiĭ.  Theory of elasticity of an anisotropic body , 1981 .

[16]  G. D. Gupta,et al.  The problem of edge cracks in an infinite strip , 1974 .

[17]  J. Tweed.  The determination of the stress intensity factor of a partially closed griffith crack , 1970 .

[18]  S. Tsai,et al.  Introduction to composite materials , 1980 .