Dynamic interaction among Penny-Shaped cracks by normal impact load.

On wrinkled penny-shaped cracks

A nominally at penny-shaped crack is subjected to a static loading. A perturbation method is developed for calculating the stress-intensity factors, based on an asymptotic analysis of the governing hypersingular boundary integral equation for the crack-opening displacement. Comparisons with known exact solutions for an inclined at elliptical crack and for a crack in the shape of a spherical cap...

Mapping Flat Cracks onto Penny-shaped Cracks, with Application to Somewhat Circular Tensile Cracks

Consider a three-dimensional homogeneous isotropic elastic solid containing a flat pressurized crack, fi. The problem of finding the resulting stress distribution can be reduced to a hypersingular integral equation over Q for the crack-opening displacement. Here, this equation is transformed into a similar equation over a circular region D, using a conformal mapping between Q and D. This new eq...

Penny{shaped Crack Bridged by Fibres

An axi{symmetric problem for a penny{shaped crack bridged by bres is considered. The study is reduced to the analysis of a hy-persingular integral equation with respect to the relative crack{face separation over a circular domain occupied by crack. The special case of a large crack subjected to Mode{I loading is examined. A matched asymptotic expansions technique is used in order to estimate th...

Interaction of Dynamic Cracks with Inclined Interfaces

Catastrophic failure of any brittle structure under dynamic loading consists of dynamic crack initiation, propagation, curving, branching (both micro and macro) and branching instability. However, the failure is much more complex in case of layered materials which has interfaces. In these materials, other than above crack mechanisms the crack can also deflect to propagate along the interface or...

Experimental Study of Seismic Scattering by a Penny-shaped Crack