Abstract
This paper presents an analysis of the effect of heat transfer in metals on the parameters of their thermal stresses caused by pulsed laser impact. The dynamic problem of thermoelasticity is regarded as a two-stage process. The first stage of the process is determined by the time of action of the radiation pulse; the second stage depends on the dynamics of the heat transfer process after the end of action of the laser pulse. It is shown that the analysis of stresses at the heat transfer stage based on the traditional system of thermoelasticity equations allows an adequate description of experimental results. The tensile stresses formed at the heat transfer stage lead to the possibility for metallic objects to move toward the heat source.
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References
V. I. Danilovskaya, “The temperature field and temperature stresses arising in an elastic half-space as a result of a flux of radiant energy incident on the boundary of a half-space,” Izv. Akad. Nauk SSSR, Mekh. Mashinostr., No. 3, 129–132 (1959).
V. E. Gusev and A. A. Karabutov, Laser Optoacoustics (Nauka, Moscow, 1991; American Inst. of Physics, New York, 1993).
E. M. Kartashov, Analytical Methods in the Theory of Thermal Conductivity of Solids (Vysshaya Shkola, Moscow, 2001) [In Russian].
H. Al-Qahtani and B. S. Yilbas, “The closed form solutions for Cattaneo and stress equations due to step input pulse heating,” Phys. B (Amsterdam, Neth.) 405, 3869–3874 (2010).
H. M. Youssef and A. S. Al-Felali, “Generalized thermoelasticity problem of material subjected to thermal loading due to laser pulse,” Appl. Math. 3, 142–146 (2012).
B. V. Vorobyev, A. I. Nedbay, Yu. V. Sudenkov, and N. M. Filippov, “Investigation of the mechanisms of interaction of nanosecond laser radiation with metals,” Pis’ma Zh. Tekh. Fiz. 9, 395–399 (1983).
R. Dewhurst, D. Hutchins, S. Palmer, and C. Scruby, “The performance of thick piezoelectric transducers as wide-band ultrasonic detectors,” Ultrasonics 21, 79 (1983).
N. V. Vovnenko, B. A. Zimin, and Yu. V. Sudenkov, “Experimental study of thermoelastic stresses in heat-conducting and non-heat-conducting solids under submicrosecond laser heating,” Tech. Phys. 56, 803–808 (2011).
D. A. Indeitsev and E. V. Osipova, “Two-temperature model of optical excitation of acoustic waves in conductors,” Dokl. Phys. 62, 538–541 (2017).
S. I. Anisimov, Ya. M. Imas, G. S. Romanov, et al., Action of High-Power Radiation on Metals (Nauka, Moscow, 1970) [in Russian].
J. M. Ziman, Electrons and Phonons: The Theory of Transport Phenomena in Solids (Clarendon, Oxford, 1962; Inostrannaya Literatura, Moscow, 1962).
G. N. Logvinov, Yu. V. Drohobitsky, L. N. de Rivera, and Yu. G. Gurevich, “Heating of a sample with a laser pulse,” Phys. Solid State 49, 824–830 (2007).
Yu. V. Sudenkov and B. A. Zimin, “Effect of "the thermal piston” in a dynamic thermoelastic problem,” Int. J. Heat Mass Transfer 85, 781–786 (2015).
B. A. Zimin and Yu. V. Sud’enkov, “The movement of a metal disk toward pulsed laser radiation,” Tech. Phys. Lett. 39, 23–26 (2013).
R. C. Tolman and T. D. Stewart, Phys. Rev. 8, 97 (1916).
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Original Russian Text © B.A. Zimin, V.E. Sventitskaya, Yu.V. Sudenkov, 2018, published in Vestnik Sankt-Peterburgskogo Universiteta: Matematika, Mekhanika, Astronomiya, 2018, Vol. 63, No. 1, pp. 125–132.
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Zimin, B.A., Sventitskaya, V.E. & Sudenkov, Y.V. The Analysis of the Heat Transfer Effect on the Thermoelastic Response of Metals under Pulsed Laser Impact. Vestnik St.Petersb. Univ.Math. 51, 95–100 (2018). https://doi.org/10.3103/S1063454118010156
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DOI: https://doi.org/10.3103/S1063454118010156
Keywords
- thermoelasticity
- heat transfer
- pulsed laser radiation