Abstract
It is shown that the solution of the first fundamental problem of the linear theory of elasticity in regard to the effect of the Lorentz force on a long conductor carrying a uniform longitudinal current in a magnetic field having an a priori unknown distribution can be reduced to the solution of homogeneous equations.
References
Yu. A. Amenzade, Theory of Elasticity [in Russian] (Vysshaya Shkola, Moscow, 1976, 272 pp.).
L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media, 2nd ed., Pergamon, Press, Oxford-New York (1984); Nauka, Moscow (1982), 620 pp.
L. V. Kantorovich and V. I. Krylow, Approximate Methods of Higher Analysis [Wiley, New York, 1964; 5th ed., Fizmatgiz, Moscow, 1962, 708 pp.].
A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity, 4th ed. (Cambridge University Press, Cambridge; Macmillan, London (1927); reprint, Dover, New York (1944); ONTI, Moscow-Leningrad (1935), 674 pp.
A. A. Kuznetsov, Zh. Tekh. Fiz. 30, 589 (1960) [Sov. Phys. Tech. Phys. 5, 552 (1960)].
Author information
Authors and Affiliations
Additional information
Zh. Tekh. Fiz. 68, 128–129 (May 1998)
Rights and permissions
About this article
Cite this article
Devyatkin, E.A. Solving elastic plane problems involving the effect of Lorentz forces on conductors carrying a uniform current. Tech. Phys. 43, 598–599 (1998). https://doi.org/10.1134/1.1259018
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1259018