Functionally Graded Materials with Periodic Cracks Subjected to Transient Loading
A periodic array of cracks in a functionally graded material under transient mechanical loading is investigated. Anti-plane shear loading condition is considered. A singular integral equation is derived, in which the crack surface displacement is the unknown function. Numerical results are obtained to illustrate the variations of the stress intensity factors as a function of the crack periodicity for different values of the material nonhomogeneity, either at the transient state or at the steady state. The material non-homogeneity can increase or reduce the stress intensity factors. Comparing with the single crack solution, it can be shown that multiple cracking can reduce the stress intensity factor significantly.
Hong-Yuan Liu, Xiaozhi Hu and Mark Hoffman
J. C. Han and B. L. Wang, "Functionally Graded Materials with Periodic Cracks Subjected to Transient Loading", Key Engineering Materials, Vol. 312, pp. 47-52, 2006