Elastic and Inelastic Thermal Stability

Abstract

Non-isothermal loss of stability of machine and structure elements under uniform or varying external loads and temperatures is considered. Stability at elevated temperatures may depend on a certain critical temperature value along with critical values of stress and strain. Peculiarities of structure buckling under temperature stresses in case of constrained deformation are demonstrated. Approaches for evaluating critical parameters (stress, strain, temperature, and operation duration) are presented for lateral buckling of rod elements with a straight and curvilinear axis under elastoplastic deformation and creep. The loss of a cylindrical equilibrium form of a stretched rod due to increase of creep rate evolution is discussed. Loss of stability, caused by non-uniform heating of the bodies of various shapes, is analyzed. Nonlinear calculation of transition to a new equilibrium state caused by a temperature variation is studied in detail using von Mises modified truss.