The paper analyzes the nonlinear deformation of a current-carrying thin shell in coupled electromagnetic and mechanical fields. The nonlinear magnetoelastic kinetic equations, physical equations, geometric equations, electrodynamic equations, expressions for the Lorentz force of a current-carrying thin shell in a coupled field are given. The normal Cauchy form nonlinear differential equations that include ten basic unknown functions are obtained by the variable replacement method. The difference and quasi-linearization methods are used to reduce the nonlinear magnetoelastic equations to a sequence of quasilinear differential equations that can be solved by discrete orthogonalization. Numerical solutions for the stresses and strains in a current-carrying thin strip shell with two edges simply supported are obtained as an example. The dependence of the stresses and strains in the current-carrying thin strip shell on the electromagnetic parameters is discussed. In a special case, it is shown that the deformation of the shell can be controlled by changing the electromagnetic parameters
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Published in Prikladnaya Mekhanika, Vol. 45, No. 7, pp. 131–144, July 2009.
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Bian, YH., Tian, ZG. & Bai, XZ. Nonlinear stress and deformation analysis of thin current-carrying strip shells. Int Appl Mech 45, 797–808 (2009). https://doi.org/10.1007/s10778-009-0220-9
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DOI: https://doi.org/10.1007/s10778-009-0220-9