Multiple interacting arbitrary shaped cracks in an FGM plane

作者：Monfared M M^*; Bagheri R

来源：Theoretical and Applied Fracture Mechanics, 2016, 86: 161-170.

DOI：10.1016/j.tafmec.2016.07.001

• In-plane fracture
• FGM plane
• Dislocation technique
• Arbitrary shaped cracks
• Mixed mode stress intensity factors

In this paper, modes I and II stress intensity factors for the multiple curved cracks in a nonhomogeneous plane base on the dislocation technique are formulated. It is assumed that the Young's modulus of the medium varies exponentially along the x-axis. Stress analysis is carried out in a nonhomogeneous plane weakened by climb and glide of an edge dislocation. These solutions are used to derive a system of Cauchy singular integral equations for analyzing multiple curved cracks. The integral equations can be solved numerically to obtain dislocation densities on a crack face which are employed to calculate the mixed mode stress intensity factors. Several examples are presented to study the interaction of multiple arbitrary shaped cracks.

• 出版日期2016-12