Engineering Transactions, 45, 3-4, pp. 447-461, 1997

On the Modelling of Laser Thermal Fracturing of Hard Rock

A.A. Yevtushenko
University of Lviv, Lviv

S.J. Matysiak
University of Warsaw, Warszawa

E.G. Ivanyk
Lviv State Agricultural Institute, Lviv

The Paper deals with the nonstationary problem of elastic half-space heated by laser beam. On the basis of the uncoupled linear thermoelasticity, the distribution of temperature and stresses in the body is obtained. By using the theory of brittle fracture given by Griffith and McClintock and Walsh, the fracture trajectories are presented for three kinds of rocks: granites quartzites and gabbros for a given radius of the heating region and its intensity.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


P.J. LAURIELLO and Y. CHEN, Thermal fracturing of hard rock, Trans. ASME, J. Appl. Mech., 4, 909-914, 1973.

N.N. RYKALIN and A.A. UGLOV, Same singularities of thermal sources under laser welding [in Russian], Welding Manufacture, 11, 1-5, 1969.

V.S. KONDRATIENKO and A.N. SIERDIUKOV, On calculation of temperature fields for control laser thermal split, Electronic Technology, Ser. 11, 5, 62-66, 1984.

A.A. GRIFFITH, The theory of rupture, Proc. of the 1-st International Congress of Applied Mechanics, Delft, 55-63, 1924.

F.A. McCLINTOCK and J.B. WALSH, Friction on Griffith cracks under pressure, Proc. of the 4-th U.S. Congress of Applied Mechanics, Berkeley, 1015-1021, 1962.

N.N. RYKALIN, A.A. UGLOV, I.V. ZUIEV and A.H. KOKORA, Laser and electronic beam processing of materials [in Russian], Handbook, Machine Construction, Moscow 1985.

I.N. SNEDDON, The use of integral transforms, McGraw-Hill, New York 1972.

I.S. GRADSHTEIN and I.N. RYZHIK, Tables of integrals, sums, series and products [in Russian], Science, Moscow 1971.

B.Y. TING and W.O. WINER, Friction-induced thermal influences in elastic contact between spherical asperities, ASME J. Tribology, 111, 2, 315-322, 1989.

N.I. MAKAROV, N.N. RYKALIN and A.A. UGLOV, On selecting of calculation scheme for temperature field of plates under laser beam welding [in Russian], Physics and Chemistry of Material Processing, 3, 9-15, 1967.

H. PARKUS, lnstationäre Wärmespannungen, Springer Verlag, Wien 1959.

W. NOWACKI, Thermoelasticity, Polish Scientific Publishers, Warszawa 1986.

S. TIMOSHENKO and J.N. GOODIER, Theory of elasticity, McGraw Hill, New York 1951.

M.M. PROTODIAKONOV, R.I. TEDER and E.I, ILNICKAJA, Distribution and correlation of physical rock properties [in Russian], Niedra, Moscow 1981.

J. PININSKA, The effects of low temperatures on the physico-mechanical properties of the Krosno sandstones, Bull. Geolog. Inst., Warsaw University, 324, 105-168, 1980.