 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| A. A. Evtushenko, E. G. Ivanyk, and K. Rozhnyakovskii, "Laser pulse time structure effect on temperature and thermal stress distribution in a massive elastic body," Mech. Solids. 41 (3), 93-102 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
3 |
Pages |
93-102 |
| Title |
Laser pulse time structure effect on temperature and thermal stress distribution in a massive elastic body |
| Author(s) |
A. A. Evtushenko (Lvov)
E. G. Ivanyk (Lvov)
K. Rozhnyakovskii (Lvov) |
| Abstract |
Specific power of electromagnetic radiation of a laser varies during its
operation [1]. The function that describes this variations is called laser beam power evolution or laser beam time structure. The radiation
intensity may be constant (continuous generation) or time-dependent (pulse
mode). Most contemporary gas lasers, in particular, CO2 and He-Ne
lasers, operate in both continuous and pulse modes. Lasers with solid active
substance (ruby, neodymium on glass, Nd:YAG) usually operate in pulse mode,
although ND:YAG is also capable of continuous energy generation.
Laser radiation intensity is usually represented as the product of two
functions, one of which describes the spatial distribution of radiation
intensity and the other its time-structure [2, 3]. The effect of spatial
distribution of laser radiation specific power on temperature and the thermal
stress state was studied in detail [4-6]. Temperature fields and the resulting
thermal stresses for different types of radiation evolution were studied
mostly for one-dimensional (with one spatial coordinate) models [7, 8]. This
can be explained by the fact that the time history of the radiation intensity is very
complex and, in general, cannot be described analytically. As a rule, such a
pulse consists of a number of chaotically produced bursts, the duration of each
being several microseconds. The amplitude, maximal energy, and time intervals
between different bursts are different; moreover, they tend to vary while the
pulse exists. A typical duration of a laser pulse is from 0.1 to 1\,ms. For
numerical analysis, it is commonly assumed that the pulse either has no
ordered internal structure (for instance, rectangular or triangular shape) and
only the envelope curve of the pulses is taken into account, or the pulse has
an internal structure that consists of a number of bursts of equal duration.
There is no analytical solution of the corresponding boundary value problem of
heat transfer in a half-space heated over a circular region on its boundary
plane by a heat flow the
intensity of which is an arbitrary function of time. In this publication, an approximate method
is proposed for the solution of this problem. |
| References |
| 1. | N. N. Rykalin, A. A. Uglov, and A. N. Kokora,
Laser Treatment of Materials [in Russian], Mashinostroenie, Moscow, 1975. |
| 2. | W. W. Duley, CO2 Lasers: Effects and Applications, Academic Press, New York, 1976. |
| 3. | J. F. Ready, Effects of High-power Laser Radiation [Russian translation], Mir, Moscow, 1974. |
| 4. | L. G. Hector and R. B. Hetnarski, "Thermal stresses due to a laser
pulse: elastic solutions," Trans. ASME J. Appl. Mech., Vol. 63, No. 1, pp.
38-46, 1996. |
| 5. | N. N. Rykalin, A. A. Uglov, I. V. Zuev, and A. N. Kokora,
Laser and Electron Beam Treatment of Materials. Handbook [in Russian],
Mashinostroenie, Moscow, 1985. |
| 6. | S. J. Matyasiak, A. A. Yevtushenko, and E. G. Ivanyk, "Temperature
field in a microperiodic two-layered composite caused by circular laser heat
source," Heat and Mass transfer, Vol. 34, No. 2-3, pp. 127-133, 1998. |
| 7. | A. J. Welch and M. J. C. Van Gemert, Optical-thermal Response of Laser
Irradiated Tissue, Plenum Press, N. Y., 1995. |
| 8. | Roźniakowski, Application of Laser Radiation for Examination and Modification of
Building Material Properties, BIGRAF, Warsaw, 2001. |
| 9. | H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids [Russian translation], Nauka, Moscow,
1964. |
| 10. | A. A. Evtushenko, E. G. Ivahik, and S. I. Matysiak, "A model of laser
thermal split," Izv. RAN, MTT [Mechanics of Solids], No. 2, pp. 132-138,
2001. |
| 11. | G. I. Marchuk and V. I. Agoshkov, Introduction to Grid Projection Methods [in Russian],
Nauka, Moscow, 1981. |
|
| Received |
04 August 2003 |
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