Abstract: In this paper, we consider the fracture process of small scale yielding for reinforced composites. In the outer region of the crack tip, we use the anisotropic continuum description, while for the crack tip region we use the heterogeneous micromechanical model. Three components in heterogeneous region, namely, fibre, interface and matrix, may be considered as nonlinear. The effect of finite deformation is also considered. We construct the solution of the problem by using the combined boundary-layer nonlinear finite element method.

Key words: fractal, random iterated function system, affine transformation