Abstract
In this paper, the equations of motion and two-dimensional magnetoelastic equations of current-carrying round elastic plates with varying thickness in nonlinear deformation in the unsteady electromagnetic field and mechanical field are estalished, and the numeral solutions of round elastic plates in axisymmetrical deformation are given.
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P. A. Mkrtchian, Flutter of thin conductive plate under magnetic field in weakly conductive air current, The Armenia Academy Sciences of U. S. S. R.,Mechanics, 28, 4 (1975), 12–26. (in Russian)
Xie Huicai, Fang Gefeng and Wang Deman, Magnetoelastic buckling of a circular planar coil,Acta Mechanica Sinica,6 (1991), 706–711. (in Chinese).
B. A. Kutliavchev, V. Z. Palton and B. D. Lubinski, Magnetothermoelastic field in half infinite body,Prikl. Mat. Mekh.,44, 5 (1980), 916–922 (in Russian)
P. Pratar, Plane waves in thermoelasticity and magnetothermoelasticity,Int. J. Eng. Sci.,10, 5 (1972), 467-477.
A. A. F. Ven and de Ven, Magnetoelastic buckling of thin plates in a uniform transverse magnetic field,J. Elast.,8, 3 (1978), 297–312.
S. A. Ambarcumian, G. E. Bagdasarian and M. V. Belubekian,The Magnetoelasticity of Thin Plate, The Science Publishing House, Moscow (1977). (in Russian)
L. V. Molchenko and IU. M. Rudov,The Magnetoelasticity of Nonlinear Thin Shell with Current Carrying and Torrential Aerodynamics, The Higher Education Publishing House, Kiev (1989), (in Russian)
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Communicated by Li Jiachun
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Fuqing, C., Yaoling, X. & Xiangzhong, B. Nonlinear problems of current-carrying round plates with varying thickness in the electromagnetic field. Appl Math Mech 18, 355–364 (1997). https://doi.org/10.1007/BF02457550
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DOI: https://doi.org/10.1007/BF02457550