Transiently propagating crack tip fields in anisotropic functionally gradient materials

Crack tip fields of transiently propagating cracks along functionally gradient direction in anisotropic materials with having variations in elasticity and density are developed. The Laplace-transformed dynamic equilibrium equations with dilatation and distortion wave potentials are obtained using the complex variable method, and the higher order crack tip fields near the crack tip are obtained and the validity of the crack tip fields is confirmed. Next, the isochromatics (contours of maximum shear stress) and isopachics (contours of first stress invariant) for the transiently propagating cracks in anisotropic functionally gradient materials are created, and their transient characteristics are discussed.