Research Article
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Year 2021, Volume: 24 Issue: 1, 62 - 73, 28.02.2021
https://doi.org/10.5541/ijot.849663

Abstract

References

  • The Authors are presently working in the field of Engineering Mechanics and studying different problems on heat conduction and their thermal behaviour.

Fractional order heat conduction and thermoelastic response of a thermally sensitive rectangular parallelopiped

Year 2021, Volume: 24 Issue: 1, 62 - 73, 28.02.2021
https://doi.org/10.5541/ijot.849663

Abstract

In the present paper, the problem of finite dimensional rectangular parallelepiped in isotropic thermoelastic medium with convective type heating is considered. The heat conduction equation (HCE) of the region is described by time HC of fractional order with Caputo derivative form. The non-linear form of heat conduction equation is converted to linear form with Kirchhoff’s transformation. Integral transform technique is used to deal with the spatial variables and Laplace transform technique is used to deal with Caputo type time fractional derivative. Inverse Laplace transform and inverse finite Fourier transform are employed to expose the solution in the transformed domain. Numerical results are obtained for temperature distribution, deflection, stress resultants and thermal stress distribution for different values of time fractional order parameter. These results are presented graphically and discussed for various values of time fractional parameters. The obtained results show significant influence of the time fractional order derivative on the temperature as well as stress distribution. Thermosensitivity plays a vital role in the analysis of any real thermoelastic problems and one should consider their effect while dealing with materials in high temperature environment.

References

  • The Authors are presently working in the field of Engineering Mechanics and studying different problems on heat conduction and their thermal behaviour.
There are 1 citations in total.

Details

Primary Language English
Subjects Material Production Technologies
Journal Section Regular Original Research Article
Authors

V. B. Srinivas This is me

V R Manthena

Jaya Bikram This is me

G. D. Kedar This is me

Publication Date February 28, 2021
Published in Issue Year 2021 Volume: 24 Issue: 1

Cite

APA Srinivas, V. B., Manthena, V. R., Bikram, J., Kedar, G. D. (2021). Fractional order heat conduction and thermoelastic response of a thermally sensitive rectangular parallelopiped. International Journal of Thermodynamics, 24(1), 62-73. https://doi.org/10.5541/ijot.849663
AMA Srinivas VB, Manthena VR, Bikram J, Kedar GD. Fractional order heat conduction and thermoelastic response of a thermally sensitive rectangular parallelopiped. International Journal of Thermodynamics. February 2021;24(1):62-73. doi:10.5541/ijot.849663
Chicago Srinivas, V. B., V R Manthena, Jaya Bikram, and G. D. Kedar. “Fractional Order Heat Conduction and Thermoelastic Response of a Thermally Sensitive Rectangular Parallelopiped”. International Journal of Thermodynamics 24, no. 1 (February 2021): 62-73. https://doi.org/10.5541/ijot.849663.
EndNote Srinivas VB, Manthena VR, Bikram J, Kedar GD (February 1, 2021) Fractional order heat conduction and thermoelastic response of a thermally sensitive rectangular parallelopiped. International Journal of Thermodynamics 24 1 62–73.
IEEE V. B. Srinivas, V. R. Manthena, J. Bikram, and G. D. Kedar, “Fractional order heat conduction and thermoelastic response of a thermally sensitive rectangular parallelopiped”, International Journal of Thermodynamics, vol. 24, no. 1, pp. 62–73, 2021, doi: 10.5541/ijot.849663.
ISNAD Srinivas, V. B. et al. “Fractional Order Heat Conduction and Thermoelastic Response of a Thermally Sensitive Rectangular Parallelopiped”. International Journal of Thermodynamics 24/1 (February 2021), 62-73. https://doi.org/10.5541/ijot.849663.
JAMA Srinivas VB, Manthena VR, Bikram J, Kedar GD. Fractional order heat conduction and thermoelastic response of a thermally sensitive rectangular parallelopiped. International Journal of Thermodynamics. 2021;24:62–73.
MLA Srinivas, V. B. et al. “Fractional Order Heat Conduction and Thermoelastic Response of a Thermally Sensitive Rectangular Parallelopiped”. International Journal of Thermodynamics, vol. 24, no. 1, 2021, pp. 62-73, doi:10.5541/ijot.849663.
Vancouver Srinivas VB, Manthena VR, Bikram J, Kedar GD. Fractional order heat conduction and thermoelastic response of a thermally sensitive rectangular parallelopiped. International Journal of Thermodynamics. 2021;24(1):62-73.