Investigation of the behavior of a griffith crack at the interface between two dissimilar orthotropic elastic half-planes for the opening crack mode

Abstract

The behaviors of an interface crack between dissimilar orthotropic elastic halfplanes subjected to uniform tension was reworked by use of the Schmidt method. By use of the Fourier transform, the problem can be solved with the help of two pairs of dual integral equations, of which the unknown variables are the jumps of the displacements across the crack surfaces. Numerical examples are provided for the stress intensity factors of the cracks. Contrary to the previous solution of the interface crack, it is found that the stress singularity of the present interface crack solution is of the same nature as that for the ordinary crack in homogeneous materials. When the materials from the two half planes are the.same, an exact solution can be otained.

Scattering of anti-plane shear waves in a functionally graded material strip with an off-center vertical crack

“…From Refs. [14][15][16], it can be seen that the Schmidt method is performed satisfactorily if the first ten terms of the infinite series to Eq. (34) are obtained.…”

Interface crack problems for mode II of double dissimilar orthotropic composite materials

“…From (13) and (14), it can be known that the real part or the imaginary part of the analytic function for the complex variable z jk (j, k = 1, 2) is a solution of the governing equations (1) [18] . Considering k, m = 1, 2, we may choose the stress functions as the following series containing two stress singularity exponents λ 1 and λ 2 :…”