Note on a penny-shaped crack under shear

Source abstract

Sack ( 3 ) and Sneddon ( 4 ) have considered the problem of a penny-shaped crack in an infinite medium under tension normal to the face of the crack. The same problem has been considered more recently by Green ( 1 ) by a different method. In this note we consider the case of the same shaped crack with the medium subjected to a uniform shearing stress parallel to the plane of the crack. It is found that the solution is analogous to that of the corresponding two-dimensional problem considered by Starr ( 5 ).