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Articles

Thermal deflection and thermal stresses in a thin circular plate under an axisymmetric heat source

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Pages 361-373 | Received 12 Mar 2018, Accepted 28 May 2018, Published online: 25 Oct 2018

References

  • E. Cheung, W. Yuan, and M. Hua, “Physical simulation of the deflection in turning of thin disk-shaped workpieces,” Int. J. Adv. Manufact. Technol. vol. 15, no. 12, pp. 863–868, 1999. DOI: 10.1007/s001700050143.
  • J. Guo, K.-M. Lee, W. Liu, and B. Wang, “Design criteria based on modal analysis for vibration sensing of thin-wall plate machining,” IEEE/ASME Trans. Mechatron., vol. 20, no. 3, pp. 1406–1417, 2015. DOI: 10.1109/TMECH.2014.2360371.
  • H.-L. Dai, X. Yan, and H.-J. Jiang, “Thermoviscoelastic behavior in a circular HSLA steel plate,” J. Therm. Stress., vol. 36, no. 10, pp. 1112–1130, 2013. DOI: 10.1080/01495739.2013.818895.
  • M. Yu, J. Guo, and K.-M. Lee, “A modal expansion method for displacement and strain field reconstruction of a thin-wall component during machining,” IEEE/ASME Trans. Mechatron., vol. 23, no. 3, pp. 1028–1037, 2018. DOI: 10.1109/TMECH.2018.2790922.
  • A. T. Karttunen, R. von Hertzen, J. N. Reddy, and J. Romanoff, “Exact elasticity-based finite element for circular plates,” Comput. Struct., vol. 182, pp. 219–226, 2017. DOI: 10.1016/j.compstruc.2016.11.013.
  • K.-M. Lee, L. Yang, K. Bai, and J. Ji, “An efficient flexible division algorithm for predicting temperature-fields of mechatronic system with manufacturing applications,” IEEE/ASME Trans. Mechatron., vol. 22, no. 4, pp. 1818–1827, 2017. DOI: 10.1109/TMECH.2017.2715559.
  • O. Fergani, and S. Y. Liang, “The effect of machining process thermo-mechanical loading on workpiece average grain size,” Int. J. Adv. Manufact. Technol., vol. 80, no. 1–4, pp. 21–29, 2015. DOI: 10.1007/s00170-015-6975-8.
  • B. Coto, V. G. Navas, O. Gonzalo, A. Aranzabe, and C. Sanz, “Influences of turning parameters in surface residual stresses in AISI 4340 steel,” Int. J. Adv. Manufact. Technol., vol. 53, no. 9–12, pp. 911–919, 2011. DOI: 10.1007/s00170-010-2890-1.
  • J. Wang, S. Ibaraki, and A. Matsubara, “A cutting sequence optimization algorithm to reduce the workpiece deformation in thin-wall machining,” Precis. Eng., vol. 50, pp. 506–514, 2017. DOI: 10.1016/j.precisioneng.2017.07.006.
  • M. N. Gaikwad, and K. C. Deshmukh, “Thermal deflection of an inverse thermoelastic problem in a thin isotropic circular plate,” Appl. Mathemat. Model., vol. 29, no. 9, pp. 797–804, 2005. DOI: 10.1016/j.apm.2004.10.012.
  • A. K. Tikhe, and K. C. Deshmukh, “Inverse heat conduction problem in a thin circular plate and its thermal deflection,” Appl. Mathemat. Model., vol. 30, no. 6, pp. 554–560, 2006. DOI: 10.1016/j.apm.2005.12.014.
  • K. C. Deshmukh, S. D. Warbhe, and V. S. Kulkarni, “Quasi-static thermal deflection of a thin clamped circular plate due to heat generation,” J. Therm. Stress., vol. 32, no. 9, pp. 877–886, 2009. DOI: 10.1080/01495730903018556.
  • 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. Stress., vol. 35, no. 6, pp. 485–498, 2012. DOI: 10.1080/01495739.2012.671744.
  • S. K. R. Choudhuri, “A note on quasi-static thermal deflection of a thin clamped circular plate due to ramp-type heating of a concentric circular region of the upper face,” J. Franklin Instit., vol. 296, no. 3, pp. 213–219, 1973. DOI: 10.1016/0016-0032(73)90059-8.
  • H. Yapιcι, M. S. Genç, and G. Özιşιk, “Transient temperature and thermal stress distributions in a hollow disk subjected to a moving uniform heat source,” J. Therm. Stress., vol. 31, no. 5, pp. 476–493, 2008. DOI: 10.1080/01495730801912652.
  • M. M. Roozbahani, H. Razzaghi, M. Baghani, M. Baniassadi, and M. Layeghi, “Temperature and stress distribution in hollow annular disk of uniform thickness with quadratic temperature-dependent thermal conductivity,” J. Therm. Stress., vol. 40, no. 7, pp. 828–845, 2017. DOI: 10.1080/01495739.2016.1271734.
  • K. S. Parihar, and S. S. Patil, “Transient heat conduction and analysis of thermal stresses in thin circular plate,” J. Therm. Stress., vol. 34, no. 4, pp. 335–351, 2011. DOI: 10.1080/01495739.2010.550812.
  • K. R. Gaikwad, and X.-J. Yang, “Two-dimensional steady-state temperature distribution of a thin circular plate due to uniform internal energy generation,” Cogent Mathemat., vol. 3, no. 1, pp. 1135720, 2016.
  • V. S. Kulkarni, and K. C. Deshmukh, “Quasi-static thermal stresses in a thick circular plate,” Appl. Mathemat. Model., vol. 31, no. 8, pp. 1479–1488, 2007. DOI: 10.1016/j.apm.2006.04.009.
  • D. Ball, “Elastic – plastic stress analysis of cold expanded fastener holes,” Fatig. Fract. Eng. Mater. Struct., vol. 18, no. 1, pp. 47–63, 1995. DOI: 10.1111/j.1460-2695.1995.tb00141.x.
  • D. W. Hahn, and M. N. Özişik, Heat Conduction, 3rd ed. Hoboken, NJ: John Wiley & Sons, 2012.
  • V. Suarez et al., “Study of the heat transfer in solids using infrared photothermal radiometry and simulation by COMSOL multiphysics,” Appl. Radiat. Isotopes, vol. 83, pp. 260–263, 2014. 2014/01/01/2014. DOI: 10.1016/j.apradiso.2013.04.010.
  • T. Abdelhamid, A. H. Elsheikh, A. Elazab, S. W. Sharshir, E. S. Selima, and D. Jiang, “Simultaneous reconstruction of the time-dependent robin coefficient and heat flux in heat conduction problems,” Inverse Problems Sci. Eng., pp. 1–18, 2017. DOI: 10.1080/17415977.2017.1391243.
  • J. N. Reddy, Theory and Analysis of Elastic Plates and Shells, 2nd ed. Boca Raton: Taylor & Francis, 2006.
  • M. R. Eslami, R. B. Hetnarski, J. Ignaczak, N. Noda, N. Sumi, and Y. Tanigawa, Theory of Elasticity and Thermal Stresses. Netherlands: Springer, 2013.
  • B. G. Korenev, Bessel Functions and Their Applications. Boca Raton: CRC Press, 2003.

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