Two-Dimensional Transient Thermoelastic Problem of a Annular Disc Due to Radiation

Warsha K. Dange

doi:https://doi.org/10.14445/22315373/IJMTT-V17P508

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 17 | Number 1 | Year 2015 | Article Id. IJMTT-V17P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V17P508

Two-Dimensional Transient Thermoelastic Problem of a Annular Disc Due to Radiation

Warsha K. Dange

Citation :

Warsha K. Dange, "Two-Dimensional Transient Thermoelastic Problem of a Annular Disc Due to Radiation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 17, no. 1, pp. 52-61, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V17P508

Abstract

The present paper deals with the determination of temperature distribution, displacement components, Goodier’s thermoelastic displacement potential, Michell’s function and thermal stresses of annular disc occupying the space D : a ≤ r ≤ b, -h ≤ z ≤ h, with boundary conditions of the radiation type. I apply integral transform techniques to find the thermoelastic solution. The results are obtained as series of Bessel functions. Numerical calculations are carried out for annular disc made of aluminium metal and illustrated graphically.

Keywords

Thermoelastic problem, Annular disc, Temperature distribution, Thermal stress, Integral transform.

References

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