Abstract
Stability of a circular ring, pre-stressed by a temperature-like intrinsic deformation, is studied using the equations of the nonlinear theory of rods. The temperature gradient in the radial direction results in a bending moment. The critical state depends on the ratio of the bending stiffness coefficients. In the supercritical range, the ring begins to turn inside out as its cross-sections rotate about the axis. The analytical solutions are successfully compared against results of finite element simulations for a shell model of the ring.
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