Stress Intensity Factors of Two-Dimensional and Three-Dimensional Cracks Next to a Thermally Mismatched Inclusion

Effect of Incorporation of Cylindrical Inhomogeneities on the Strength Distributions of Brittle Materials

“…Delale 22 used the Erdogan approach, and energy‐based failure criteria to predict the critical fiber size for crack suppression in ceramic fiber composites. Wang 23 also utilized the Erdogan approach and combined it with Eshelby's point‐force method to write analytical expressions for the stress intensity factors; however, it is not clear whether his results match those provided in Müller et al 21 . or this study.…”

“…The following features of the K Res result and about the simplifications introduced to obtain it are noted: (i) For cracks centered far from the inhomogeneity, α≫R, the residual stress intensity factor, K Res .→0. (ii) When the elastic constants of the inhomogeneity and matrix are identical, the solution reverts to that provided by Müller et al ., 21 . (iii) Consideration of defects along the x ′ axes obviates the need to consider mode II loading effects.…”

“…The most relevant result of this exhaustive numerical study for our purpose is the following: the stress intensity factor at the tip farther away from the inhomogeneity is not significantly dependent on whether the crack tip nearer the inhomogeneity is a finite distance away from it or rests on the boundary. Müller et al 21 . used a stress intensity factor calculation similar to the ones in Atkinson and Tirosh and Tetelman 14,15 .…”