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Functionally Graded Materials with Periodic Cracks Subjected to Transient Loading

Journal Key Engineering Materials (Volume 312)
Volume Fracture of Materials: Moving Forwards
Edited by Hong-Yuan Liu, Xiaozhi Hu and Mark Hoffman
Pages 47-52
DOI 10.4028/www.scientific.net/KEM.312.47
Online since June, 2006
Authors Jie Cai Han, Bao Lin Wang
Keywords Crack, Dynamic Fracture Mechanics, Fracture Mechanics, Functionally Graded Material (FGM)
Abstract 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.
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