Thermoelastic Problem for An Infinitely Long Annular Cylinder Without Energy Dissipation (GN Theory)

infinitely long annular cylinder without energy dissipation

  • Shaaban Khader Department of Mathematical and Theoretical Physics Atomic Energy Authority, EGYPT
Keywords: annular cylinder, thermoelasticity without energy dissipation, Laplace transforms

Abstract

In this paper we consider the problem of an infinitely long annular cylinder whose inner and outer surfaces are subjected to known surrounding temperatures and are traction free. The problem is in the context of the theory of thermoelasticity without energy dissipation. The Laplace transform with respect to time is used. The inversion process is carried out using a numerical method based on a Fourier series expansion. Numerical results are computed for the temperature, displacement and stress distributions. The numerical results are represented graphically. Comparison is made between the predictions here and those of the theory of thermoelasticity with one relaxation time.

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Published
2018-08-29
Section
Research Articles