Effective thermoelastic moduli of FGMs with temperature-dependent constituents and initial eigenstrains

Abstract

Abstract. We outline a procedure for incorporating the effects on the effective thermoelastic moduli of composites of (i) the temperature dependence of the constituents and (ii) the presence of initial eigenstrains. The procedure uses a unified thermodynamic treatment, which assumes small strains, finite changes in temperature, and initial eigenstrains. The procedure is illustrated by deriving the effective values of the isothermal compliance tensor, the thermal expansion tensor, and the heat capacity per unit reference volume at constant stress. The procedure is of particular interest in the modeling of thermoelastic FGMs operating under thermal conditions where the material properties are liable to depend on temperature.