Numerical investigation of the mode III stress intensity factors in FGMs considering the effect of graded Poisson’s ratio

For cracks in functionally graded materials under pure mode three loading, this work makes use of J-integral in domain form to determine KIII. This is done as a post-processing stage in the finite element context. Numerical computations are carried out for penny-shaped and circumferential cracks. For each crack, a sensitivity analysis is done to demonstrate the trend of KIII with respect to the gradation indexes for modulus of elasticity and Poisson’s ratio. It is realized that for a given geometry and boundary condition, KIII depends on gradation of both modulus of elasticity and Poisson’s ratio.