The finite block method (FBM) is developed to determine stress intensity factors with orthotropic functionally graded materials under static and dynamic loads in this paper. The higher order derivative matrix for two and three dimensional problems can be constructed directly. For linear elastic fracture mechanics, the COD and J-integral techniques to determine the stress intensity factors are applied. Several examples are given and comparisons have been made with both analytical solutions and the finite element method in order to demonstrate the accuracy and convergence of ...
