Determination of critical load of interlayer defect arising from ring compression

The article presents a solution to the problem of nonlinear stability of thin delaminations located near the inner surface of a compressed ring. Near the inner surface the multilayer ring has one interlayer defect of the delamination type. This defect loses stability when the ring is compressed. Such a deformation is caused by a high concentration of interlayer stress at the front of the defect. As the load is increased the buckled area increases to a critical size. This kind of loss of stability is called “delamination of thin layer”. We have obtained the calculation results using the approximate theory of shallow arcs, and determined the critical load. The analytical expressions are obtained for deflections at the initial stage of supercritical deformation. We have modeled a ring consisting of two thin volumetric shells in the form of rings in the ANSYS system. The results of numerical calculation by the finite element method are presented for comparison with the obtained analytical calculations.