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Thermal shock problem of a three-layered functionally graded zirconia/titanium alloy strip based on a unified generalized thermoelasticity theory

ABSTRACT The one-dimensional thermoelastic analysis of a three-layered ceramic/metal functionally graded strip under thermal loading is considered, utilizing classical and generalized coupled thermoelasticity theories. A finite element code is developed for the numerical study of the transient fields of displacement, temperature change, and stress. The code is verified through the analytical and the numerical results available in the literature. The applications presented imply that the classical coupled thermoelasticity theory offers unsatisfactory description of the thermomechanical response of a solid under fast transient thermal loading. Instead, generalized thermoelasticity theories such as the Lord–Shulman theory or the Green–Lindsay theory should be used.