Dynamic crack tip fields, T-stress and energy release rate in anisotropy

Abstract

Higher order crack tip stresses, displacements, T-stress and energy release rate with a constant speed in anisotropic materials are studied. The dynamic stresses and displacements are derived from the displacement potentials and higher order complex functions. Using the dynamic stress and displacement components, the dynamic T-stress and energy release rate are derived. The effects of fiber direction and crack speed on the stresses, displacements, T-stress and energy release rate are examined. The maximum values of stresses σxx and σyy at crack tip around are greater when the direction of the stress component approaches to the fiber direction than when the direction of the stress component is dissimilar to the fiber direction. T-stress in anisotropic materials, unlike isotropic and orthotropic materials, appears in the stress term of mode II as well as mode I. Energy release rate GI for opening mode decreases as α increases and GII for shearing mode increases as α increases.