Finite-element analysis of plate stability under conditions of nonlinear creep

Abstract

Abstract Resolving equations are obtained for the finite element analysis of the stability of plates and shells with allowance for nonlinear creep. The issue of plate stability under creep process is investigated by the example of a round plate rigidly clamped along the contour with an initial deflection under the action of radial compressive forces. It has been established that for plates made of a material that obeys the nonlinear Maxwell-Gurevich law, there is a long critical load p ∞. When the load is less than the long critical (p < p∞), the deflection growth rate decays, i.e. buckling does not occur, at p = p∞ the deflection increases at a constant speed, and at p > p ∞, the rate of growth of the deflection increases.