Analysis of a propagating crack in functionally graded materials with property variation angled to crack direction

The stress and displacement fields for a crack propagating in functionally graded materials (FGMs) with property variation angled to crack direction are obtained. The FGMs have a linear variation of shear modulus with a constant density and Poisson’s ratio. The solutions for higher order terms in the dynamic equilibriums are obtained by transforming the general differential equations to Laplace’s equations. Using the stress fields, the effects of the nonhomogeneity and the angled properties on stress components are investigated. In addition to, the contours of the constant maximum shear stress around the static and propagating crack tip are generated. The contours of the constant maximum shear stress around the static and propagating crack tip tilt toward the property gradation direction.