A variational approach to calculating shells with crack-cuts based on a nonclassical Timoshenko-type theory is proposed and realized. Compliance and virtual crack growth methods are proposed and developed for calculating the stress intensity factor, which is the main characteristic of the local stress field at the crack tip. These methods are realized by the finite-element method in the displacement and finite-difference variant. Analytical and mathematical models of the crack-cut are proposed. A spherical shell with one and two through cracks rectilinear in plan and a square cylindrical panel with a crack located in the center of the diagonal were calculated.

V. N. Yurkov

Papers

Energy theory of linear fracture mechanics of shells with crack-cuts