ANALYTICAL SOLUTIONS FOR NONLINEAR RESPONSE OF PLATES UNDER THERMAL LOADING

摘要

An analytical method is presented to quantify the development of tensile membrane action in thermally-loaded rectangular plates.Both geometrical and material nonlinearities are considered in the proposed method.The geometric nonlinearity is based on the yon Karman large deformation theory.The material nonlinearity arises from degradable nonlinear material behaviour of the plate at elevated temperatures.The temperature distribution in the plate is assumed to vary nonlinearly across the thickness.The analysis is carried out based on quasi-static conditions ignoring any dynamic effects.The accuracy of the proposed method is assessed through a number of numerical examples.