K-dominanat region in 2-D functionally graded materials under mixed mode loading

Abstract

The extent of K-dominant region around the crack tip of a functionally graded plate under mixed mode loading is investigated. A center cracked plate is used for the study. The stress intensity factors and T-stresses are calculated using mode extraction and J-integral method. Stress fields near the crack tip are calculated by using finite elements and the results are compared to two different asymptotic stress field results available in literature. Deviations of the asymptotic solutions from finite element so- lutions are shown in terms of contour plots around the crack tip to show the extent of K-dominant region. Effects of the material nonhomogeneity, crack size and crack angle on the extent of K-dominant region are examined. Stress contours and error contours are plotted.