Stress and Displacement Fields at a Transient Crack Tip Propagating in Functionally Graded Materials
Stress and displacement fields for a transient crack tip propagating along gradient in functionally graded materials (FGMs) with an exponential variation of shear modulus and density under a constant Poisson's ratio are developed. The equations of transient motion in nonhomogeneous materials are developed using displacement potentials and the solution to the displacement fields and the stress fields for a transient crack propagating at nonuniform speed though an asymptotic analysis.
S.W. Nam, Y.W. Chang, S.B. Lee and N.J. Kim
K. H. Lee and G. S. Ban, "Stress and Displacement Fields at a Transient Crack Tip Propagating in Functionally Graded Materials ", Key Engineering Materials, Vols. 345-346, pp. 481-484, 2007