Nonlinear straining of shallow and non-shallow spherical shells under thermal and force loadings

Abstract

Numerical results of the study of nonlinear bending and the stability loss of spherical segments with a rigidly embedded edge are obtained under the influence of external normal pressure and temperature changing in the range from cryogenic to increased. The dependence of the material characteristics on the level of the operating temperature is taken into account. A significant dependence of the stress-strain state and the stability of the segment on the nature of the interaction of external normal pressure and temperature is shown. With axisymmetric temperature and force loading, it is established that the critical loads for a shallow segment are greatest in the vicinity of the initial temperature at low temperature stresses, while for the deep spherical shell, the greatest critical loads are observed at cryogenic temperatures with a significant decrease in their values at elevated temperatures.