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Transient temperature distribution and thermal stresses in a thick plate subjected to random pulses

Year 2019, Volume: 22 Issue: 4, 209 - 217, 29.11.2019
https://doi.org/10.5541/ijot.607900
https://izlik.org/JA98EX53XH

Abstract

This paper deals with the determination of second-order statistics (the mean of each component and correlations between components) of the quasi-static temperature distribution and thermal stresses on a thick plate under thermal load.  The heated thick circular plate with random internal heat generation acting at random instants of time, in addition to sectional heat supply in the form of random impulses on the upper face, while the lower face is kept at zero temperature, and the fixed circular edge thermally insulated in considered for investigation. A type of Laplace transform method is employed to obtain the analytical solutions for the temperature and stresses statistics. Numerical results demonstrate the effects of the magnitude with the statistics of the temperature and thermal stresses and represented graphically.

References

  • Chiba R (2012) Stochastic analysis of heat conduction and thermal stresses in solids. A Review INTECH 243-266
  • Mathews PM, Srinivasan SK (1956) Ordinary linear differential equations involving random functions. Proc. Ind. Acad. Sci. 43:4–20.

Year 2019, Volume: 22 Issue: 4, 209 - 217, 29.11.2019
https://doi.org/10.5541/ijot.607900
https://izlik.org/JA98EX53XH

Abstract

References

  • Chiba R (2012) Stochastic analysis of heat conduction and thermal stresses in solids. A Review INTECH 243-266
  • Mathews PM, Srinivasan SK (1956) Ordinary linear differential equations involving random functions. Proc. Ind. Acad. Sci. 43:4–20.
There are 2 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Sonal Bhoyar This is me

Vinod Varghese 0000-0002-9660-7610

Lalsingh Khalsa This is me

Publication Date November 29, 2019
DOI https://doi.org/10.5541/ijot.607900
IZ https://izlik.org/JA98EX53XH
Published in Issue Year 2019 Volume: 22 Issue: 4

Cite

APA Bhoyar, S., Varghese, V., & Khalsa, L. (2019). Transient temperature distribution and thermal stresses in a thick plate subjected to random pulses. International Journal of Thermodynamics, 22(4), 209-217. https://doi.org/10.5541/ijot.607900
AMA 1.Bhoyar S, Varghese V, Khalsa L. Transient temperature distribution and thermal stresses in a thick plate subjected to random pulses. International Journal of Thermodynamics. 2019;22(4):209-217. doi:10.5541/ijot.607900
Chicago Bhoyar, Sonal, Vinod Varghese, and Lalsingh Khalsa. 2019. “Transient Temperature Distribution and Thermal Stresses in a Thick Plate Subjected to Random Pulses”. International Journal of Thermodynamics 22 (4): 209-17. https://doi.org/10.5541/ijot.607900.
EndNote Bhoyar S, Varghese V, Khalsa L (November 1, 2019) Transient temperature distribution and thermal stresses in a thick plate subjected to random pulses. International Journal of Thermodynamics 22 4 209–217.
IEEE [1]S. Bhoyar, V. Varghese, and L. Khalsa, “Transient temperature distribution and thermal stresses in a thick plate subjected to random pulses”, International Journal of Thermodynamics, vol. 22, no. 4, pp. 209–217, Nov. 2019, doi: 10.5541/ijot.607900.
ISNAD Bhoyar, Sonal - Varghese, Vinod - Khalsa, Lalsingh. “Transient Temperature Distribution and Thermal Stresses in a Thick Plate Subjected to Random Pulses”. International Journal of Thermodynamics 22/4 (November 1, 2019): 209-217. https://doi.org/10.5541/ijot.607900.
JAMA 1.Bhoyar S, Varghese V, Khalsa L. Transient temperature distribution and thermal stresses in a thick plate subjected to random pulses. International Journal of Thermodynamics. 2019;22:209–217.
MLA Bhoyar, Sonal, et al. “Transient Temperature Distribution and Thermal Stresses in a Thick Plate Subjected to Random Pulses”. International Journal of Thermodynamics, vol. 22, no. 4, Nov. 2019, pp. 209-17, doi:10.5541/ijot.607900.
Vancouver 1.Sonal Bhoyar, Vinod Varghese, Lalsingh Khalsa. Transient temperature distribution and thermal stresses in a thick plate subjected to random pulses. International Journal of Thermodynamics. 2019 Nov. 1;22(4):209-17. doi:10.5541/ijot.607900