STUDY OF STEADY STATE THERMAL STRESSES IN A LIMITING THICK CIRCULAR PLATE WITH INTERNAL HEAT GENERATION
DOI:
https://doi.org/10.29121/shodhkosh.v2.i2.2021.5682Keywords:
Thermal Stresses., Limiting Thick Circular Plate and Internal Heat GenerationAbstract [English]
The present paper deals with the determination of temperature, displacement and thermal stresses in a limiting thick circular plate with internal heat generation. A limiting thick circular plate is subjected to arbitrary known interior temperature under steady state, the fixed circular edge of limiting circular plate are thermally insulated and lower surface of limiting circular plate is kept at zero temperature. Here we compute the effects of internal heat generation in terms of stresses along radial direction and modify Kulkarni V. S. (2008). The governing heat conduction equation has been solved by the method of integral transform technique. The results are obtained in a series form in terms of Bessel’s functions. The results for stresses have been computed numerically and illustrated graphically.
References
Bhongade C. M. and Durge M. H. (2013) Effect of Michell function on steady state behavior of thick circular Plate. IOSR Journal of Mathematics 8, 55-60. DOI: https://doi.org/10.9790/5728-0825560
Kulkarni V. S. and Deshmukh K. C. (2008) An inverse quasi- static steady state thermal stresses in a thick circular plate in a thick circular plate. The Journal of Franklin Institute 345, 29-38. DOI: https://doi.org/10.1016/j.jfranklin.2007.06.003
Naotake Noda, Richard B Hetnarski and Yoshinobu Tanigawa (2003) Thermal Stresses, 2 nd edn., Taylor and Francis, New York, 259-261.
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Copyright (c) 2021 Chetana Bhongade
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