Mathematic model considers the geometrical and physical nonlinearity, the adaptability of creep flow. Arc work is accounted for by the method of constructive anisotropy, but with due regard for shear and torsion rigidity. In solving physically nonlinear problems, secant modulus is defined directly from the «σ-ε» curve, found experimentally. Mathematic model is written in the form of functional of total deformation energy. This model can be used for comprehensive analysis of the stability of reinforced shells of revolution.

Keywords: stability of reinforced shells of revolution, linear-elastic problems, the nonlinear-elastic problems, the problem of creep flow.