An Inverse Thermoelastic Problem of Circular Plate

Gaikwad, Priyanka B.; Ghadle, Kirtiwant P.; Mane, Janardhan K.

doi:10.18052/www.scipress.com/BSMaSS.1.1

BSMaSS > BSMaSS Volume 1 > An Inverse Thermoelastic Problem of Circular Plate

< Back to Volume

An Inverse Thermoelastic Problem of Circular Plate

Full Text PDF

Abstract:

The aim of this work is to determine the unknown temperature, displacement and thermal stresses on the upper surface of the circular plate subjected to arbitrary known interior temperature under Steady-state field. The fixed circular edge is thermally insulated and temperature of a lower surface of plate is kept at zero.The governing heat conduction equation has been solved by using the Hankel transform technique. The results are obtained in series form in terms of Bessel’s functions and results have been computed numerically and illustrated graphically.

Info:

Periodical:

The Bulletin of Society for Mathematical Services and Standards (Volume 1)

Pages:

1-5

DOI:

https://doi.org/10.18052/www.scipress.com/BSMaSS.1.1

Citation:

P. B. Gaikwad et al., "An Inverse Thermoelastic Problem of Circular Plate", The Bulletin of Society for Mathematical Services and Standards, Vol. 1, pp. 1-5, 2012

Online since:

March 2012

Authors:

Priyanka B. Gaikwad, Kirtiwant P. Ghadle, Janardhan K. Mane

Keywords:

Circular Plate, Hankel Transform, Steady State, Thermoelastic Problem

Export:

RIS, BibTeX, Text

Distribution:

Open Access

This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

Ashida F. and Sakata S., Tauchert T.R. and Yamashita Y., (2002). Inverse transient thermoelastic problem for a composite circular disc, Journal of thermal stresses, Vol. 25(431-435).

Deshmukh K. C. and Wankhede P.C. (1998). An Inverse transient problem of quasi-static thermal deflection of a thin clamped circular plate, Bulletin of pure and Applied Sciences, Vol. 17 E.

Grysa and Kozlowski (1982). One-dimensional problem of temperature and heat flux determination at the surface of a thermo elastic slab part -I, the Analytical Solutions, NUCL. Engrg. 74; pp.1-14.

Gaikwad P. B. and Ghadle K. P., (2012). Study of an Exact Solution of Unsteady-State Thermoelastic Problem of a Circular Plate, Americal. Jr. of Mathematics and Sciences. Vol. 1. No. 1. pp.175-183.

Kulkarni V. S. and Deshmukh, K. C., (2007), Quasi-static thermal stresses in a thick circular plate, Science Direct, applied Mathematics Modeling. Vol. 31, pp.1479-1488.

Noda, N., (1989), An inverse problem of coupled thermal stress fields in a circular cylinder, JSME, International Journal, Ser.A. 32, pp.791-797.

Roy Chaudhari S. K., (1982).

Sneddon I. N., (1972): The Use of Integral Transform McGraw Hill, New York, pp.235-238.

Ozisik, N. M. (1968): Boundary value problem of heat conduction tables for the roots of transcendental equation; pp.481-492.

Show More Hide

Cited By:

[1] I. Kaur, P. Lata, "Transversely isotropic thermoelastic thin circular plate with constant and periodically varying load and heat source", International Journal of Mechanical and Materials Engineering, Vol. 14, 2019

DOI: https://doi.org/10.1186/s40712-019-0107-4

[2] P. Lata, I. Kaur, K. Singh, "Deformation in transversely isotropic thermoelastic thin circular plate due to multi-dual-phase-lag heat transfer and time-harmonic sources", Arab Journal of Basic and Applied Sciences, Vol. 27, p. 259, 2020

DOI: https://doi.org/10.1080/25765299.2020.1781328