References
- W. Nowacki, “The state of stresses in a thick circular plate due to temperature field,” Bull. Acad. Polon. Sci., Ser. Scl. Tech., vol. 5,pp. 227, 1957.
- B. A. Boley and J. H. Weiner, Theory of Thermal Stresses. New York, USA: John Wiley and Sons, Inc., 1960.
- K. Grysa and Z. Kozlowski, “One-dimensional problems of temperature and heat flux determination at the surfaces of a thermoelastic slab, Part II: The numerical analysis,” Nucl. Eng. Des., vol. 74, no. 1, pp. 15–24, 1983. DOI: 10.1016/0029-5493(83)90136-X.
- Y. Ootao, T. Akai, and Y. Tanigawa, “Three dimentional transient thermal stress analysis of a nonhomogeneous hollow circular cylinder due to a moving heat source in the axial direction,” J. Therm. Stresses, vol. 18, no. 5, pp. 497–512, 1994. DOI: 10.1080/01495739508946317.
- M. Ishihara, Y. Tanigawa, R. Kawamura, and N. Noda, “Theoretical analysis of thermoelastoplastic deformation of a circular plate due to a partially distributed heat supply,” J. Therm. Stresses, vol. 20, no. 2, pp. 203–225, 1997. DOI: 10.1080/01495739708956099.
- T. K. Chakraborty and T. K. Tar, “Defection of a circular plate due to heating of a concentric circular region,” JAMC, vol. 10, no. 1–2, pp. 217–226, 2002. DOI: 10.1007/BF02936219.
- S. Senthil and R. C. Batra, “Three-dimensional analysis of transient thermal stresses in functionally graded plates,” Int. J. Solids Struct., vol. 40, no. 25, pp. 7181–7196, 2003. DOI: 10.1016/S0020-7683(03)00361-5.
- M. N. Gaikwad and K. C. Deshmukh, “Thermal deflection of an inverse thermoelastic problem in a thin isotropic circular plate,” Appl. Math. Model., vol. 29, no. 9, pp. 797–804, 2005. DOI: 10.1016/j.apm.2004.10.012.
- N. L. Khobragade and K. C. Deshmukh, “An inverse quasi-static thermal deflection problem for a thin clamped circular plate,” J. Therm. Stresses, vol. 28, no. 4, pp. 353–361, 2005. DOI: 10.1080/01495730590916605.
- Y. Ootao and Y. Tanigawa, “Transient thermoelastic analysis for a functionally graded hollow cylinder,” J. Therm. Stresses, vol. 29, no. 11, pp. 1031–1046, 2006. DOI: 10.1080/01495730600710356.
- K. S. Parihar and S. S. Patil, “Transient heat conduction and analysis of thermal stresses in thin circular plate,” J. Therm. Stresses, vol. 34, no. 4, pp. 335–351, 2011. DOI: 10.1080/01495739.2010.550812.
- K. R. Gaikwad and K. P. Ghadle, “Nonhomogeneous heat conduction problem and its thermal deflection due to internal heat generation in a thin hollow circular disk,” J. Therm. Stresses, vol. 35, no. 6, pp. 485–498, 2012. DOI: 10.1080/01495739.2012.671744.
- K. R. Gaikwad, “Analysis of thermoelastic deformation of a thin hollow circular disk due to partially distributed heat supply,” J. Thermal Stresses, vol. 36, no. 3, pp. 207–224, 2013. DOI: 10.1080/01495739.2013.765168.
- K. R. Gaikwad, “Two-dimensional steady-state temperature distribution of a thin circular plate due to uniform internal energy generation,” Cogent Math., vol. 3, no. 1, pp. 1–10, 2016. DOI: 10.1080/23311835.2015.1135720.
- A. H. Elsheikh, J. Guo, and K.-M. Lee, “Thermal deflection and thermal stresses in a thin circular plate under an axisymmetric heat source,” J. Therm. Stresses, vol. 42, no. 3, pp. 361–373, 2019. DOI: 10.1080/01495739.2018.1482807.
- K. R. Gaikwad, “Axi-symmetric thermoelastic stress analysis of a thin circular plate due to heat generation,” IJDSDE, vol. 9, no. 2, pp. 187–202, 2019. DOI: 10.1504/IJDSDE.2019.100571.
- K. R. Gaikwad, “Mathematical modelling and its simulation of a quasi-static thermoelastic problem in a semi-infinite hollow circular disk due to internal heat generation,” J. Korean Soc. Ind. Appl. Math., vol. 19, no. 1, pp. 69–81, 2015. DOI: 10.12941/jksiam.2015.19.069.
- K. R. Gaikwad, “Mathematical modelling of thermoelastic problem in a circular sector disk subject to heat generation,” Int. J. Adv. Appl. Math. Mech., vol. 2, no. 3, pp. 183–195, 2015.
- K. R. Gaikwad and S. G. Khavale, “Time fractional heat conduction problem in a thin hollow circular disk and it's thermal deflection,” Easy Chair, no. 1672, pp. 1–10, 2019.
- N. M. Ozisik, Boundary Value Problem of Heat Conduction. Scranton, PA, USA: International Textbook Company, 1968, pp. 84–101.
- N. Noda, R. B. Hetnarski, and Y. Tanigawa, Thermal Stresses, 2nd ed. New York, USA: Taylor and Francis, 2003, pp. 376–387.
- L. Thomas, Fundamentals of Heat Transfer. Englewood Cliffs, NJ, USA: Prentice-Hall, 1980.