Finding bifurcation branches in nonlinear problems of statics of shells numerically

The article discusses numerical solution of nonlinear boundary value problems appearing in the theory of shells made of elastomers. Issues of solution continuation with respect to parameters in case of bifurcation branching of the corresponding loading diagrams are considered particularly. A numerical algorithm for finding the bifurcation branches at the load-displacement diagram is proposed. The effectiveness of the algorithm is demonstrated for the problem of arch strip off-center compression.