A Generalized Thermoelastic Behaviour of Isotropic Hollow Cylinder

Abstract

In this study, the thermoelastic behavior of a thick-walled homogeneous cylinder based on Lord-Shulman theory is investigated. It is assumed that the inner and outer surfaces of the cylinder are traction-free, and the outer surface is insulated while the inner surface is subjected to a time-dependent internal temperature load. The governing equations in coupled form are solved with the pseudospectral Chebyshev method. The numerical approach is validated with benchmark results in the literature. The temperature, radial and tangential stress distributions are examined for three different moments to represent the time-varying effects of the applied instantaneous temperature load. The effect of the coupled term in Lord-Shulman theory for different high temperatures is examined and the difference between the coupled and uncoupled solution in different time periods is tabulated and the difference is highlighted.

Keywords

• Generalized coupled thermoelasticity
• Lord-Shulman theory
• Pseudospectral Chebyshev method
• Hollow cylinder

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