Transient elastodynamic crack growth in functionally graded materials
Date of Original Version
A generalized elastic solution for an arbitrarily propagating transient crack in functionally graded materials (FGMs) is obtained through an asymptotic analysis. The shear modulus and mass density of the FGM are assumed to vary exponentially along the gradation direction. The out-of-plane displacement field and its gradients about the crack tip were obtained in powers of radial coordinates, with the coefficients depending on the time rates of change of crack tip speed and stress intensity factor. The effects of the transient terms on the contours of constant out-of-plane displacement are duly discussed. Copyright © 2005 by ASME.
Journal of Applied Mechanics, Transactions ASME
Chalivendra, Vijaya B., and Arun Shukla. "Transient elastodynamic crack growth in functionally graded materials." Journal of Applied Mechanics, Transactions ASME 72, 2 (2005): 237-248. doi:10.1115/1.1831292.