Abstract
The Maxwell and Lamé systems are considered in the case when the electromagnetic (EM) field is generated by elastic oscillations. We neglect the reverse influence of the EM field on the elastic oscillations. The influence of the EM field on the deformation field is considered as a result of the Lorentz forces. We consider the problem of recovering some elastic and EM parameters of a layered medium from a weakly coupled linearized set of equations of electromagnetoelasticity. To solve the inverse problem for electromagnetoelasticity equations optimization methods are used.
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Avdeev, A.V., Goruynov, E.V., and Priimenko, V.I.: An inverse problem of electromagnetoelasticity with unknown source of elastic oscillations, Preprint No. 1074, Computing Center, SB RAS, Novosibirsk, 1996.
Chadwick, P.: Elastic wave propagation in magnetic field, inProc. of the IXth Intern. Congr. Appl. Mech.Brussels, 1956, pp. 143–153.
Dunkin, J.W. and Eringen, A.C.: On the propagation of waves in an electromagnetic elastic solidIntern. J. Eng. Sci. 1 (1963), 461–495.
Fat’yanov, A.G. and Mikhajlenko, B.G.: A method of computation of non-stationary wave fields in inelastic layered inhomogeneous mediaDAN SSSR 301 (1988), 834–839 (in Russian).
Keilis-Borok, V.I. and Monin, A.S.: Magnetoelastic waves and the boundary of the Earth crustIzv. AN SSSR. Ser. “Geophysics”(1959), 1529–1541 (in Russian).
Knopoff, L.: The interaction between elastic wave motion and a magnetic field in electrical conductorsJ. Geophys. Res. 60(1955), 441–456.
Lavrent’ev (Jr.), M.M. and Priimenko, V.I.: Simultaneous determination of elastic and electromagnetic medium parameters, in M.M. Lavrent’ev (ed.)Computerized Tomography. Proc. of the Fourth Intern. Symp. Novosibirsk August 10–14,1993 VSPUtrecht, 1995, pp. 10–14.
Lorenzi, A. and Priimenko, V.I.: Identification problems related to electromagneto-elastic interactionsJ. of Inverse and Ill-Posed Problems 4 (1996), 115–143.
Lorenzi, A. and Romanov, V.G.: Identification of the electromagnetic coefficient connected with deformation currentsInverse Problems 9 (1993), 301–319.
Merazhov, I.Z. and Yakhno, V.G.: Direct and inverse problems for systems of electromagneto-elasticity equations, in M.M. Lavrent’ev (ed.)Computerized Tomography. Proc. of the Fourth Intern. Symp. Novosibirsk August 10–14,1993 VSPUtrecht, 1995, pp. 10–14.
Mikhailenko, B.G. and Soboleva, O.N.: Numerical modelling of seisrrromagnetic effects in an elastic medium, in A.S. Alekseev and N.S. Bakhvalov (eds.)Advanced Mathematics: Computations and Applications. Proc. of the Intern. Conf. AMCA-95. Novosibirsk Russia,June 20–24, 1995, NCC Publisher, Novosibirsk, 1995, pp. 20–24.
Paria, G.: Magneto-elasticity and magneto-thermoelasticityAdv. Appl. Mech. 10(1967), 73–112.
Romanov, V.G.: On an inverse problem for a coupled system of equations of electrodynamics and elasticityJ. of Inverse and Ill-Posed Problems 3 (1995), 321–332.
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Avdeev, A.V., Soboleva, O.N., Priimenko, V.I. (2000). Inverse Problem of Electromagnetoelasticity: Simultaneous Determination of Elastic and Electromagnetic Parameters. In: Spigler, R. (eds) Applied and Industrial Mathematics, Venice—2, 1998. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4193-2_12
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DOI: https://doi.org/10.1007/978-94-011-4193-2_12
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