Multiple interacting arbitrary shaped cracks in an FGM plane. (December 2016)

• Record Type: Journal Article
• Authors: Monfared, M.M.; Bagheri, R.
• Is Part Of: Theoretical and applied fracture mechanics. Volume 86:Part B(2016)
• Page Start: 161
• Page End: 170
• Publication Date: 2016-12
• Subjects: In-plane fracture -- FGM plane -- Dislocation technique -- Arbitrary shaped cracks -- Mixed mode stress intensity factors; Fracture mechanics -- Periodicals; 620.1126
• DOI: 10.1016/j.tafmec.2016.07.001
• Languages: English
• ISSNs: 0167-8442

Abstract

Highlights: Stress analysis with a single edge dislocation is carried out in a functionally graded medium under in-plane loading. Distributed dislocation technique is utilized to calculate the mixed mode stress intensity factors. Multiple arbitrary shaped cracks in an FGM plane have been considered. Abstract: 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.