Extension of generalized plane strain plates with reinforced cracks

Abstract

Applying the transversally isotropic generalized plane strain plate of Mindlin and Kane, as refined by Kotousov and Wang, the authors use Fourier transforms to develop a hyper-singular line-spring model for a reinforced crack under extensional loads, enabling the analysis of cracks in plates of arbitrary thickness. The new model is used to develop fracture mechanics geometry correction factors to account for the effect of the transverse modulus, Poisson’s ratio, and plate thickness on the stress intensity and crack opening displacement. The model is then used to examine the reinforcing effect of springs bridging the crack faces and extend the Rose model to include plate thickness effects, allowing the inclusion of plate thickness effects in the fracture mechanics analysis of reinforced cracks.