The Non-Local Theory Solution of Orthotropic Composite Materials on the Stress Field near the Crack Tips

抄録

The effect of the lattice parameter of orthotropic composite materials on the stress fields near crack tips was investigated by means of non-local theory. By use of the Fourier transform, the problem can be solved with the help of a pair of dual integral equations, in which the unknown variable is the displacement along the crack surfaces. To solve the dual integral equations, the displacement along the crack surfaces was directly expanded as a series of Jacobi polynomials. The solution can be obtained by means of the Schmidt method. Different from the classical solutions, that the present soluction exhibits no stress singularity at the crack tips, i.e. the stress field near the crack tips is finite. The effect of the lattice parameter on the stress field near the crack tips was displayed graphically.