Open Access Journal

ISSN : 2456-1290 (Online)

International Journal of Engineering Research in Computer Science and Engineering (IJERCSE)

Monthly Journal for Computer Science and Engineering

Open Access Journal

International Journal of Engineering Research in Mechanical and Civil Engineering (IJERMCE)

Monthly Journal for Mechanical and Civil Engineering

ISSN : 2456-1290 (Online)

Transient Thermal Stresses of an Elliptical Disc with Internal Heat Generation

Author : Pravin Bhad 1 Vinod Varghese 2 Lalsingh Khalsa 3

Date of Publication :7th September 2016

Abstract: In this paper, we deal with transient thermal stress problem of an elliptical disc subjected to internal heat source with mixed-type boundary conditions. The solution of conductivity equation and the corresponding initial and boundary conditions are obtained by employing a new integral transform technique. The governing equation for small deflection is found and utilized to find intensities of thermal bending moments and twisting moments, etc. involving the Mathieu and modified functions and their derivatives. The analytical solution for the thermal stress components are obtained in terms of resultant forces and resultant moments, and same are illustrated graphically

Reference :

    1. McLachlan, N.W., Theory and Application of Mathieu function, Oxford Univ. Press, 1947.
    2. Cheng, S., Bending of an elliptic plate under a moment at the center, Tech. Sum. Rept. No. 444, Math. Res. Center, Univ, Wisconsin (1963).
    3. Mahalanabis, R.K., On steady state mixed boundary value problems of a transversely isotropic material for a half-space and a thick plate, Bulletin of Cal. Math. Soc., vol. 60, no. 4, pp. 151-162, 1968.
    4. Singh, B. M., Dhaliwal, R.S., Mixed boundaryvalue problems of steady-state thermoelasticity and electrostatics, Journal of Thermal Stresses, vol. 1, no. 1, pp. 1-11, 1978.
    5.  Huang, S.C., Chang, Y.P., Anisotropic heat conduction with mixed boundary conditions, J. of Heat Transfer, vol. 106, no. 3. pp. 646–648, 1984.
    6. Bhad, P. P., Varghese, V., Khalsa, L. H., Heat source problem of thermoelasticity in an elliptic plate with thermal bending moments, Journal of Thermal Stresses [Accepted for publication in Aug’2016].

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