Application of the finite element iterative method to the eigenvalue problem of a crack between dissimilar media

Abstract

Abstract The finite element iterative method is applied to the eigenvalue problem of a crack between dissimilar media. In this case the transfer matrix is non‐symmetric, which leads to complex eigenvalues. The singularity obtained agrees with the analytical results of r (−1/2+ ie ) . The method of evaluating the eigenfunctions is general and can be applied to more complex cases of material and geometry, which are frequently encountered in composite materials. A powerful method for evaluating stress intensities in dissimilar media is given in the Appendix. The method is also reduced for homogeneous media to give stress intensity factors for modes I, II and III.