A periodic array of cracks in functionally graded materials subjected to transient loading

作者：Wang BL; Mai YW^*

来源：International Journal of Engineering Science, 2006, 44(5-6): 351-364.

DOI：10.1016/j.ijengsci.2005.12.007

• functionally graded materials
• cracks
• fracture mechanics
• dynamic fracture mechanics

A periodic array of cracks in an infinite functionally graded material under transient mechanical loading is investigated. In-plane normal (mode I) and shear (mode II) loading conditions are considered. For each individual loading mode, a singular integral equation is derived, in which the crack surface displacements are unknown functions. Numerical results are obtained to illustrate the variation of the stress intensity factors as a function of the crack periodicity for different values of material inhomogeneity, either at the transient state or steady state. The material inhomogeneity can increase or decrease the mode I and mode II stress intensity factors. Compared with the single crack solution, it is also shown that multiple cracking may decrease the mode I stress intensity factors, but enhance the mode II stress intensity factors significantly.

• 出版日期2006-3