A hybrid finite element method is used for studying the singular behavior of the orthotropic composite laminate with slant crack under in-plane extension loading. First, the stress singularities of slant crack tip of which inclination is varied from 0° to 90° degree are obtained from near field conditions and uncompleted asymptotic solutions are constructed by using eigen function expansion methods and Stroh formalism for anisotropic elastic materials. Secondly, the complete asymptotic solutions are obtained by applying the far field conditions-in-plane extension with FEM, and then the stress singularities are calculated form these solutions. Finally, to clarify asymptotic solution M-integral is introduced and the result obtained from M-integral are compared with the result of the hybrid FEM. The good coincidence of the results obtained from two methods is shown in this paper.
