Interaction of Contact Crack with Collinear Slit Under Shallow Spherical Shell Bending

The problem of elastic and limiting equilibrium of a shallow spherical shell weakened by a pair of rectilinear cuts along the meridian is considered in a two-dimensional statement. One is considered to be a contact crack capable of closing, while the other one — a narrow slit with free faces. The contact interaction of the crack faces under bending load is described using a contact model along a line in the front surface of the shell. The numerical solution to the problem is developed by the method of singular integral equations using the mechanical quadrature algorithm. The regularities of the contact reaction distribution on the closed crack faces are studied. The effect of the shell curvature and the relative location of the defects on the values of intensity coefficients of forces and moments and on the value of the fracture load is studied.