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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2021 Volume 47, Issue 9, Pages 41–43 (Mi pjtf4803)

This article is cited in 1 paper

A method for calculating surface mechanical stresses in axisymmetric magnetic systems

A. K. Andreev

Moscow Aviation Institute (National Research University)

Abstract: A method is proposed for calculating the mechanical stresses of magnetic and current systems calculated from the energy density of a uniformly magnetized cylinder. Volume-average demagnetizing factor of the cylinder $\bar N_z$ is introduced for the calculation, which is proportional to the ratio of cylinder diameter $2a$ to its length $h$. It is shown that demagnetization energy $E_p$, which is negligible for a “long” cylinder with $2a/h\ll1$ $(\bar N_z\approx0)$, becomes decisive in the formation of stresses at $\bar N_z\le0.5$. Radial $\sigma_r$ and axial $\sigma_z$ stresses are investigated in a wide range of variation of the ratio $2a/h$.

Keywords: mechanical stresses, demagnetizing field, demagnetizing energy, Nagaoka coefficient.

Received: 24.11.2020
Revised: 10.02.2021
Accepted: 13.02.2021

DOI: 10.21883/PJTF.2021.09.50907.18626


 English version:
Technical Physics Letters, 2021, 47:6, 425–427

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© Steklov Math. Inst. of RAS, 2026