The article investigates the time-reversal thermoelasticity of a hollow elliptical cylinder for determining the temperature distribution and its associated thermal stresses at a certain point using integral transform techniques by unifying classical orthogonal polynomials as the kernel. Furthermore, by considering a circle as a special kind of ellipse, it is seen that the temperature distribution and the comparative study of a circular cylinder can be derived as a special case from the present mathematical solution. The numerical results obtained are accurate enough for practical purposes.
Bhad, Pravin; Varghese, Vinod; and Khalsa, Lalsingh
Heat source thermoelastic problem in a hollow elliptic cylinder under time-reversal principle,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 11,
2, Article 19.
Available at: https://digitalcommons.pvamu.edu/aam/vol11/iss2/19