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Magnetoelastic analysis of non-circular superconducting partial torus. (English) Zbl 0957.74015

Summary: We present a theoretical analysis of magnetoelasticity for a set of superconducting partial tori with \(D\)-typed non-circular coils. This kind of coil is an essential model adopted in the new conception design of tokamak fusion reactors. Their magneto-mechanical behavior, including bending and snapping, is simulated with the aid of the curved beam theory and the Biot-Savart law. A semi-analytical method is employed to quantitatively solve the boundary value problem for the coil. We discuss the effects of the radii’s ratio \(\lambda=R_1/R_2\) of the coil on the critical snapping current, the deformation and the internal force components of the coil. It is found that the critical current increases and the deformation decreases with the increase in ratio \(\lambda\), and small misalignments of the coils make the critical current lower.

MSC:

74F15 Electromagnetic effects in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
82D55 Statistical mechanics of superconductors
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