title: The stress intensity factors for a periodic array of interacting coplanar penny-shaped cracks.
abstract: The effect of crack interactions on stress intensity factors is examined for a periodic array of coplanar penny-shaped cracks. Kachanov's approximate method for crack interactions (Int. J. Solid. Struct. 1987; 23(1):23-43) is employed to analyze both hexagonal and square crack configurations. In approximating crack interactions, the solution converges when the total truncation number of the cracks is 109. As expected, due to high density packing crack interaction in the hexagonal configuration is stronger than that in the square configuration. Based on the numerical results, convenient fitting equations for quick evaluation of the mode I stress intensity factors are obtained as a function of crack density and angle around the crack edge for both crack configurations. Numerical results for the mode II and III stress intensity factors are presented in the form of contour lines for the case of Poisson's ratio ν =0.3. Possible errors for these problems due to Kachanov's approximate method are estimated. Good agreement is observed with the limited number of results available in the literature and obtained by different methods.
authors.affiliation: Department of Mechanical Engineering, The Ohio State University, Columbus OH.
authors.forename: Huseyin
authors.initials: H
authors.lastname: Lekesiz
authors.affiliation: Department of Mechanical Engineering, The Ohio State University, Columbus OH.
authors.forename: Noriko
authors.initials: N
authors.lastname: Katsube
authors.affiliation: Department of Materials Science and Engineering, The Ohio State University, Columbus OH.
authors.forename: Stanislav I
authors.initials: SI
authors.lastname: Rokhlin
authors.affiliation: College of Dentistry, The Ohio State University, Columbus OH.
authors.forename: Robert R
authors.initials: RR
authors.lastname: Seghi