Vestnik St. Petersburg University, Mathematics

, Volume 51, Issue 1, pp 95–100 | Cite as

The Analysis of the Heat Transfer Effect on the Thermoelastic Response of Metals under Pulsed Laser Impact

  • B. A. ZiminEmail author
  • V. E. Sventitskaya
  • Yu. V. Sudenkov


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.


thermoelasticity heat transfer pulsed laser radiation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    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).MathSciNetGoogle Scholar
  2. 2.
    V. E. Gusev and A. A. Karabutov, Laser Optoacoustics (Nauka, Moscow, 1991; American Inst. of Physics, New York, 1993).Google Scholar
  3. 3.
    E. M. Kartashov, Analytical Methods in the Theory of Thermal Conductivity of Solids (Vysshaya Shkola, Moscow, 2001) [In Russian].Google Scholar
  4. 4.
    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).CrossRefGoogle Scholar
  5. 5.
    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).MathSciNetCrossRefGoogle Scholar
  6. 6.
    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).Google Scholar
  7. 7.
    R. Dewhurst, D. Hutchins, S. Palmer, and C. Scruby, “The performance of thick piezoelectric transducers as wide-band ultrasonic detectors,” Ultrasonics 21, 79 (1983).CrossRefGoogle Scholar
  8. 8.
    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).CrossRefGoogle Scholar
  9. 9.
    D. A. Indeitsev and E. V. Osipova, “Two-temperature model of optical excitation of acoustic waves in conductors,” Dokl. Phys. 62, 538–541 (2017).CrossRefGoogle Scholar
  10. 10.
    S. I. Anisimov, Ya. M. Imas, G. S. Romanov, et al., Action of High-Power Radiation on Metals (Nauka, Moscow, 1970) [in Russian].Google Scholar
  11. 11.
    J. M. Ziman, Electrons and Phonons: The Theory of Transport Phenomena in Solids (Clarendon, Oxford, 1962; Inostrannaya Literatura, Moscow, 1962).zbMATHGoogle Scholar
  12. 12.
    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).CrossRefGoogle Scholar
  13. 13.
    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).CrossRefGoogle Scholar
  14. 14.
    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).CrossRefGoogle Scholar
  15. 15.
    R. C. Tolman and T. D. Stewart, Phys. Rev. 8, 97 (1916).CrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • B. A. Zimin
    • 1
    Email author
  • V. E. Sventitskaya
    • 2
  • Yu. V. Sudenkov
    • 2
  1. 1.Institute for Problems of Mechanical EngineeringSt. PetersburgRussia
  2. 2.St. Petersburg State UniversitySt. PetersburgRussia

Personalised recommendations