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IssuesArchive of Issues2001-2pp.114-119

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A. A. Evtushenko, E. G. Ivanik, and S. I. Matysyak, "On a model of thermal splitting by laser beams," Mech. Solids. 36 (2), 114-119 (2001)
Year 2001 Volume 36 Number 2 Pages 114-119
Title On a model of thermal splitting by laser beams
Author(s) A. A. Evtushenko (Lvov)
E. G. Ivanik (Lvov)
S. I. Matysyak (Warsaw)
Abstract A theoretical justification of the method of thermal splitting by laser beams was given in [1-4] and elsewhere. The general scheme of the method involves (i) the determination of the thermal field on the surface of the body exposed to laser heat flow and (ii) the determination of optimal parameters of thermal splitting by laser beams (for example, the distance from the boundary of the laser spot to the cooling front, etc.)on the basis of the condition that the temperature gradient should exceed the thermal resistance of the material.

In the present paper, we propose an approach for calculating the parameters of thermal splitting by laser beams on the basis of certain criteria specified by equations of brittle fracture mechanics. For this purpose, in addition to the nonstationary distribution of temperature, we determine the quasistatic thermal stress state of a semi-bounded body heated over a circular region of its boundary by a heat flow with the normal (Gaussian) distribution.
References
1.  N. N. Rykalin, A. A. Uglov, and A. N. Kokara, Laser Treatment of Metals [in Russian], Mashinostroenie, Moscow, 1975.
2.  N. N. Rykalin, A. A. Uglov, I. V. Zuev, and A. N. Kokora, Laser and Electron-Beam Treatment of Materials: a Handbook [in Russian], Mashinostroenie, Moscow, 1985.
3.  V. S. Kondratenko and A. N. Serdyukov, "Thermal field calculations for controllable laser-beam thermal splitting," in Elektronnaya Tekhnika. Ser. II. Lazernaya Tekhnika i Optoelectronika, No. 5, pp. 62-66, 1984.
4.  Y. J. Nessim, A. Lietoil, R. B. Gold, and J. F. Gibbons, "Temperature distribution produced in semiconductors by a scanning elliptical or circular CW laser beam," J. Appl. Phys, Vol. 51, No. 1, pp. 274-279, 1980.
5.  N. I. Makarov, I. N. Rykalin, and A. A. Uglov, "On the choice of the calculation scheme for the temperature field in plates subjected to laser welding," Fiz. i Khim. Obrabotki Materialov, No. 3, pp. 9-15, 1967.
6.  I. Sneddon, The Use of Integral Transforms, McGraw-Hill, New York, 1972.
7.  W. W. Duley, CO2 Lasers: Effects and Applications, Academic Press, New York, 1976.
8.  G. Parkus, Nonstationary Thermal Stresses [in Russian], Fizmatgiz, Moscow, 1963.
9.  A. A. Griffith, "The theory of rupture," in Proc. 1st Intern. Congr. Appl. Mech. Delft, 1924, pp. 55-63, Waltmar, Delft, 1926.
10.  F. A. McClintock and J. B. Walsh, "Friction of Griffith cracks in rock under pressure," in Proc. 4th US Nat. Congr. Appl. Mech., Vol. 2, pp. 1015-1021, Berkeley, 1962.
11.  S. P. Timoshenko and J. N. Goodier, Theory of Elasticity [Russian translation], Nauka, Moscow, 1975.
12.  M. M. Protodyakonov, R. I. Teder, E. I. Il'nitskaya, et al., Distribution and Correlation of Physical Parameters of Rocks: a Handbook [in Russian], Nedra, Moscow, 1981.
Received 21 January 1997
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