The Temperature Effect on the Stress-strain State of Inelastic Torispherical Heads under Internal Pressure

Abstract

The effect of a temperature change on nonlinear axisymmetric straining of the clamped torispherical shell under internal pressure is investigated. The solution is based on the Kirchhoff–Love hypothesis, taking into account geometric and material nonlinearities. The stress-strain state is examined at cryogenic or elevated temperatures with the temperature-dependent material’s characteristics. The analysis has been performed numerically using a combination of linearization and S.K. Godunov’s orthogonal sweep methods. Shells made of alloys with various mechanical and thermophysical properties are considered. The effect of the alloy’s properties on the nature of the stress-strain state dependence of the torispherical heads on temperature is discussed.