Near-tip out of plane displacement fields for dynamic crack propagation in functionally graded materials
Date of Original Version
Asymptotic expansion for the out of plane displacement field around a crack propagating along the gradient in a functionally graded material is developed. The irregular behavior of one of the terms in the expansion at low crack speeds is further examined and a remedial solution, which is well behaved at low crack speeds, is proposed. The developed out of plane displacement field is used to estimate stress intensity factor from quasi-static finite element solution. The results indicate that inclusion of the proposed nonhomogeneity specific terms gives estimates of stress intensity factor, which are consistent with existing analytical predictions.
Mechanics Research Communications
Parameswaran, Venkitanarayanan, and Arun Shukla. "Near-tip out of plane displacement fields for dynamic crack propagation in functionally graded materials." Mechanics Research Communications 29, 5 (2002): 397-405. doi:10.1016/S0093-6413(02)00255-0.