Lower-bound shakedown analysis of a simply supported plate carrying a uniformly distributed load and subjected to cyclic thermal loading

Abstract

A lower-bound analysis is used to obtain the shakedown boundary for a simply supported circular plate carrying a uniformly distributed load subjected to cyclic thermal loading. Situations where the yield stress is constant and a function of position in the plate are examined. For low levels of thermal loading the results are in agreement with the upper-bound calculations of Ponter.