Thermal stresses in an infinite body with spherical cavity due to an arbitrary heat flux on its internal boundary surface

Ganesh D Kedar; S. P. Pawar; K. C. Deshmukh

doi:10.24297/jam.v9i3.2421

Thermal stresses in an infinite body with spherical cavity due to an arbitrary heat flux on its internal boundary surface

Authors

Ganesh D Kedar Department of Mathematics RTM Nagpur University, Nagpur
S. P. Pawar S.N. Mor and Smt. G.D. Saraf Science College Tumsar (MS)
K. C. Deshmukh RTM Nagpur University, Nagpur-33, (MS)

DOI:

https://doi.org/10.24297/jam.v9i3.2421

Keywords:

Thermal stresses, infinite body, Laplace transform.

Abstract

In this paper we consider an elastic infinite body with a spherical cavity subjected to a arbitrary heat flux on its internal boundary which is assumed to be traction free. The displacement and thermal stresses are obtained and results are compared using constant and time dependent heat flux. Laplace transform technique is used to obtain the temperature distribution. The mathematical model is obtained for copper material. The results are illustrated numerically and graphically.

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Author Biographies

Ganesh D Kedar, Department of Mathematics RTM Nagpur University, Nagpur

Associate Professor Department of Mathematics

S. P. Pawar, S.N. Mor and Smt. G.D. Saraf Science College Tumsar (MS)

Department of Mathematics

K. C. Deshmukh, RTM Nagpur University, Nagpur-33, (MS)

Department of Mathematics

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Published

2014-08-25

How to Cite

Kedar, G. D., Pawar, S. P., & Deshmukh, K. C. (2014). Thermal stresses in an infinite body with spherical cavity due to an arbitrary heat flux on its internal boundary surface. JOURNAL OF ADVANCES IN MATHEMATICS, 9(3), 2039–2056. https://doi.org/10.24297/jam.v9i3.2421