Thermoelastic-Plastic Stress Analysis of a Functionally Graded Material Plate with Prescribed Variation in Surface Temperatures

Abstract

The elastoplastic thermal stress in a functionally graded material plate (FGM plate) which has arbitrary nonhomogeneties of thermal and mechanical properties and temperature distribution only through the thickness of the plate, is analyzed based on Mendelson's modified total strain and the incremental strain theory of plasticity under the prescribed variation in surface temperatures. The numerical calculations of thermal stress and plastic strain are carried out for Ni/Al_2O_3 FGM plate with the temperature-dependent initial yield stress and elastoplastic tangent modulus.