PSI - Issue 50

V.V. Titkov et al. / Procedia Structural Integrity 50 (2023) 284–293

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Titkov V.V. et al./ Structural Integrity Procedia 00 (2019) 000 – 000

µs and an amplitude of 10 – 40 T. The specified magnetic field pulse is characterized by intense mechanical (up to 300 MPa) and thermal effects with a temperature of the order of several hundred 0 C, which can cause disturbances in the geometry of the magnetic system and surface damage to its current-carrying elements (Heinz E. Knopfel, 2000; Shneerson et al., 2014). Massive single-turn solenoids are one of the types of inductors of a strong pulsed magnetic field pulse, which are capable to resist the effects of these factors (Komel’kov V. S., 1970) . The monolithic construction and a relatively large mass of such solenoids provide greater mechanical inertia, preventing the development of large deformations (except the case of super-strong magnetic fields with induction over 100 T (Krivosheev et al., 1997; Yu. N. Bocharov et al., 1984)) and effective heat dissipation after the current pulse. Nomenclature ⃗ Vector potential of the magnetic field ⃗⃗ Magnetic field induction c Specific heat capacity ⃗⃗ Electric field intensity E Young's modulus ⃗ Volumetric electromagnetic force ⃗⃗⃗ Magnetic field intensity i Current ⃗ Current density q Volumetric heating S coil Solenoid cross sectional area ̿ Tensor of mechanical stresses T Temperature T p Pulse duration ⃗⃗ Displacement vector α Temperature expansion factor γ Mass density δ Attenuation ̿ Strain tensor λ Thermal conductivity µ 0 Magnetic constant σ Electrical conductivity ω Frequency Vector differential operator 2. Pulsed magnetic field impact description The main feature of the impact of a pulsed magnetic field on the solenoid wall (Fig. 1), the thickness of which is up to several tens of millimeters, is a distinct surface effect. In this case, the depth of penetration of the electromagnetic field into the wall:

0 T p   

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(1)

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