Study on dynamic characteristics of the temperature and stress field in induction and laser heating for the semi-infinite body

References

• J. Pan and M. Hu, Heat Treatment Technology. Beijing: Higher Education Press, 2009.
   Google Scholar
• X. Liu, Thermal Treatment Furnace and Workshop Appliance. Beijing: China Machine Press, 1984.
   Google Scholar
• W. Liang, Induction Heating Equipment. Beijing: China Machine Press, 1981.
   Google Scholar
• M. Kranjc, A. Zupanic, D. Miklavcic, and T. Jarm, “Numerical analysis and thermographic investigation of induction heating,” Int. J. Heat Mass Transfer, vol. 53, pp. 3585–3591, 2010. DOI:10.1016/j.ijheatmasstransfer.2010.04.030.
   Web of Science ®Google Scholar
• B. Drobenko, O. Hachkevych, and T. Kournyts Kyi, “A mathematical simulation of high temperature induction heating of electroconductive solids,” Int. J. Heat Mass Transfer, vol. 50, pp. 616–624, 2007. DOI:10.1016/j.ijheatmasstransfer.2006.07.013.
   Web of Science ®Google Scholar
• E. J. Davies, “Conduction and induction heating,” J. Immunol., vol. 177, pp. 1567–1574, 1990.
   Google Scholar
• V. Rudnev, “Handbook of induction heating,” Pediatr. Neurosurg., vol. 7, pp. 15–30, 2002.
   Google Scholar
• J. Qiusheng, S. Mengliang, Y. Guangsheng, and L. Shunlong, “Finite element analysis for thermal shock of diesel piston,” Trans. Csice, vol. 14, pp. 127–133, 1996.
   Google Scholar
• L. Qingyuan, and Z. Ruian, “Dynamic response of materials to rapid heating,” Explos. Shock Waves, vol. 4, pp. 68–75, 1984.
   Google Scholar
• W. Li, D. Li, and C. Zhang, “Modelling the effect of temperature and damage on the fracture strength of ultra-high temperature ceramics,” Int. J. Fracture, vol. 176, pp. 181–188, 2012. DOI:10.1007/s10704-012-9743-x.
   Web of Science ®Google Scholar
• S. L. Guo, and B. L. Wang, “Thermal shock fracture of a cylinder with a penny-shaped crack based on hyperbolic heat conduction,” Int. J. Heat Mass Transfer, vol. 91, pp. 235–245, 2015. DOI:10.1016/j.ijheatmasstransfer.2015.07.081.
   Web of Science ®Google Scholar
• Z. Yan, and H. Wang, Thermal Stress. Beijing: Higher Education Press, 1993.
   Google Scholar
• C. Cattaneo, “Sur une Form De l’equation De La Chaleur Eliminant Le Paradoxe d’une Propagation Instantane,” C. R. Acad. Sci. Paris, vol. 247, pp. 431–433, 1958.
   Google Scholar
• P. Vernotte, “Les Paradoxes De La Théorie Continue De l’équation De La Chaleur,” C. R. Acad. Sci. Paris, vol. 246, pp. 3154–3455, 1958.
   Google Scholar
• Z. Zhang, and D. Liu, “Non-fourier effects in rapid transient heat conduction in a spherical medium,” J. Eng. Thermophys., vol. 19, pp. 601–605, 1998. DOI:10.1016/s0022-4073(01)00008-5.
   Web of Science ®Google Scholar
• J. He, “Study on non-fourier effects on temperature field of induction quenching process,” M.S. thesis, Beijing Institute of Technology, Beijing, 2015.
   Google Scholar
• C. Ho, “Stress focusing effect in a uniformly heated cylindrical rod,” J. Appl. Mech., vol. 43, pp. 464–468, 1976. DOI:10.1115/1.3423892.
   Web of Science ®Google Scholar
• A. M. Abd-Alla, “Thermal stress in a transversely isotropic circular cylinder due to an instantaneous heat source,” Appl. Math. Comput., vol. 68, pp. 113–124, 1995. DOI:10.1016/0096-3003(94)00085-i.
   Web of Science ®Google Scholar
• X. Wang, “Thermal shock in a hollow cylinder caused by rapid arbitrary heating,” J. Sound Vib., vol. 183, pp. 899–906, 1995. DOI:10.1006/jsvi.1995.0294.
   Web of Science ®Google Scholar
• W. Xi, “An analytical solution for stress-focusing effect in a solid cylinder under thermal shock,” J. Vib. Shock, vol. 15, pp. 28–33, 1996. DOI:10.4028/www.scientific.net/amr.291-294.2133.
   Google Scholar
• X. Wang, G. Lu, and S. R. Guillow, “Magnetothemodynamic stress and perturbation of magnetic field vector in a solid cylinder,” J. Therm. Stresses, vol. 27, pp. 269–287, 2002. DOI:10.1080/01495730290074397.
   Web of Science ®Google Scholar
• W. Xi, “Dynamic thermo-stress concentration effect in a spherically isotropic sphere,” Acta Mech. Sin., vol. 32, pp. 245–250, 2000.
   Google Scholar
• D. Haojiang, W. Huiming, and C. Weiqiu, “A theoretical solution of cylindrically isotropic cylindrical tube for axisymmetric plane strain dynamic themoelastic problem,” Acta Mech. Solida Sin., vol. 14, pp. 357–363, 2001.
   Web of Science ®Google Scholar
• H. Cho, G. A. Kardomateas, and C. S. Valle, “Elastodynamic solution for the thermal shock stresses in an orthotropic thick cylindrical shell,” J. Appl. Mech., vol. 65, p. 184, 1998. DOI:10.1115/1.2789024.
   Web of Science ®Google Scholar
• H. J. Ding, H. M. Wang, and W. Q. Chen, “A solution of a non-homogeneous orthotropic cylindrical shell for axisymmetric plane strain dynamic thermoelastic problems,” J. Sound Vib., vol. 263, pp. 815–829, 2003. DOI:10.1016/s0022–460x(02)01075–1.
   Web of Science ®Google Scholar
• E. Edfawy, “Thermal stresses in a non-homogeneous orthotropic infinite cylinder,” Struct. Eng. Mech., vol. 59, pp. 841–852, 2016. DOI:10.12989/sem.2016.59.5.841.
   Web of Science ®Google Scholar
• J. Li, “Numerical studies on the induction quenching process of crankshaft,” Ph.D. Thesis, Beijing Institute of Technology, Beijing, 2015.
   Google Scholar
• M. N. Özışık, Heat Conduction. New York: Wiley, 1980.
   Google Scholar
• A. D. Polyanin, Handbook of Linear Partial Differential Equations for Engineers and Scientists. Washington:Chapman & Hall/CRC, 2002.
   Google Scholar
• H. Parkus, Instationare Warmespannungen. Wien: Springer, 1959.
   Google Scholar
• R. Wang, and L. Yu, “The application of induction quenching technology to automobile parts production,” Ind. Heat., vol. 33, pp. 48–50, 2004.
   Google Scholar
• Z. Wang, and J. Mou, The Rapid Thermal Processing of Steel Induction Heating. Beijing: Chemical Industry Press, 2012.
   Google Scholar