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IssuesArchive of Issues2003-3pp.58-64

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V. M. Alexandrov, "High-speed motion of an extended thermal-force source in elastic medium," Mech. Solids. 38 (3), 58-64 (2003)
Year 2003 Volume 38 Number 3 Pages 58-64
Title High-speed motion of an extended thermal-force source in elastic medium
Author(s) V. M. Alexandrov (Moscow)
Abstract We consider plane and axisymmetric problems of uncoupled thermoelasticity for constant speed motion of an extended thermal-force source in an unbounded elastic medium. In contrast to the classical heat equation, which is of parabolic type, we use the heat equation with a finite speed of heat-flux propagation, i.e., equation of hyperbolic type. It is assumed that the speed of the source is much higher than both the speed of sound in the elastic medium and the speed of heat-flux propagation. Expressions for the temperature and the elastic displacements are obtained in closed form.
References
1.  Ya. S. Podstrigach and Yu. M. Kolyano, Generalized Thermomechanics [in Russian], Naukova Dumka, Kiev, 1976.
2.  Yu. A. Brychkov and A. P. Prudnikov, Integral Transforms of Generalized Functions [in Russian], Nauka, Moscow, 1977.
3.  V. A. Ditkin and A. P. Prudnikov, A Handbook on Operational Calculus [in Russian], Vyssh. Shkola, Moscow, 1965.
4.  I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Fizmatgiz, Moscow, 1962.
5.  W. Nowacki, Dynamic Problems in Thermoelasticity [Russian translation], Mir, Moscow, 1970.
6.  V. B. Poruchikov, Methods of Dynamic Elasticity [in Russian], Nauka, Moscow, 1986.
7.  V. M. Alexandrov and D. A. Pozharskii, Nonclassical Spatial Problems in Contact Mechanics for Elastic Bodies [in Russian], Faktorial, Moscow, 1998.
8.  A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series. Special Functions [in Russian], Nauka, Moscow, 1983.
Received 28 January 2002
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