Dynamic out of Plane Displacement Fields for an Inclined Crack in Graded Materials
Date of Original Version
A generalized elastic solution for an arbitrarily propagating crack in Functionally Gradient 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 mode mixity due to the inclination of property gradient is accommodated in the analysis through superposition of the opening and shear modes. Using this asymptotic solution, contours of constant out of plane displacement are generated. The effect of inclination of property gradation direction and the crack speed on these contours is discussed.
Journal of Elasticity
Chalivendra, V. B., A. Shukla, and V. Parameswaran. "Dynamic out of Plane Displacement Fields for an Inclined Crack in Graded Materials." Journal of Elasticity 69, 1-3 (2002): 99-119. doi:10.1023/A:1027353918357.