Stress and magnetostriction in an infinite hollow superconducting cylinder with a filling in its central hole

Yang, Yumei; Wang, Xingzhe

doi:10.1016/j.physc.2012.10.003

Cited by 20 publications

(6 citation statements)

References 25 publications

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“…5(a), similar to the hoop stress of a cylinder with a circular hole (see Ref. [20]), the hoop stress decreases monotonously with the increasing of r, and the stress concentration occurs at the hole edge. However, along the direction θ = π/2, the hoop stress increases at first, and reaches its maximum value at r = a, then decreases with the increasing of r, which are consistent with those shown for the Bean model (see Fig.…”

Section: Numerical Analysis On Stress Distributionssupporting

confidence: 53%

“…Thus, for simplicity, only the case of B fc = B * 1 is investigated in this paper. Thus, for the considered case, B fc can be expressed as [20] …”

Section: Formulationmentioning

confidence: 99%

“…On the other hand, to the best of our knowledge, the exponent model has the advantage on capturing the magnetostriction curve feature in a magnetic field [19], and up till now, only one paper was reported to investigate the stress problem of a superconducting cylinder with a circular hole by this kind of model [20]. In addition, as well known, many holes in superconductor are, in fact, not regular circular yet.…”

Section: Introductionmentioning

confidence: 99%

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Exponent model for stress distributions in a superconducting cylinder with a concentric elliptic hole

Feng

2013

International Journal of Applied Electromagnetics and Mechanics

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In this paper, the distributions of the stresses induced by flux pinning in a superconducting cylinder with a concentric elliptic hole are investigated. First, the distribution function of the flux density during field descent after field cooling process is given by adopting the exponent model for the critical current state. Then, the flux pinning forces are further derived. Finally, numerous numerical results are plotted by using finite element method and are analyzed in detail. Numerical results show that for the superconducting cylinder with an elliptic hole, along the direction of the long axis, the phenomenon of stress concentration for hoop stress occurs at the hole edge, and that in general, the radial stress changes rapidly near the hole edge. In addition, both the shape of the hole and the model parameter of the present critical state model have important and different effects on the stress distributions. Results presented in this paper should have potential applications to the design of superconducting materials.

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Section: Numerical Analysis On Stress Distributionssupporting

confidence: 53%

“…Thus, for simplicity, only the case of B fc = B * 1 is investigated in this paper. Thus, for the considered case, B fc can be expressed as [20] …”

Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Exponent model for stress distributions in a superconducting cylinder with a concentric elliptic hole

Feng

2013

International Journal of Applied Electromagnetics and Mechanics

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“…The stress distribution of an infinite hollow superconducting cylinder was studied analytically [21]. In addition, filling nonsuperconductive materials in the central hole can suppress the hoop stress concentration [22].…”

Section: Introductionmentioning

confidence: 99%

Mechanical Stress in the Superconducting Film Under External Magnetic Field

Yong

Jing

et al. 2016

IEEE Trans. Appl. Supercond.

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In this paper, the mechanical response is studied for different superconducting films in magnetic field. When the superconductors are under magnetic field, the electromagnetic body force will act on the sample. High mechanical stress can affect the mechanical and electromagnetic properties of the superconductors. Based on the Maxwell's equations and fast Fourier transform, the Lorentz force is obtained for the superconducting film during magnetization. We take into account the square and circular superconducting films with finite element method. In addition, the effects of notches and inclusion on the mechanical stress are presented. Numerical results indicate that square film and circular film have similar stress distributions. In the same magnetic field, the stress along the axis is smaller in the superconducting film with notches or inclusion. Finally, the superconducting film with substrate is considered. The mechanical stability can be enhanced by the substrate.

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“…With the characteristics of trapping a high magnetic field and bearing a large critical current density, mechanical response and magnetostrictive behavior have become a fundamental and challenging topic [1][2][3]. When a hard superconductor is exposed to an applied field above the lower critical field H c1 , the vortices start to penetrate into the superconductor and seek a distribution in equilibrium with the reigning conditions.…”

Section: Introductionmentioning

confidence: 99%

Magnetostrictive behaviors of type-II superconducting cylinders and rings with finite thickness

Huang¹,

Yong²,

Zhou³

2013

Supercond. Sci. Technol.

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This paper presents an investigation of the magnetostrictive behaviors of type-II superconducting cylinders and rings with finite thickness in the presence of a uniform applied field directed along the axis by means of the minimization of magnetic energy and the finite element method. The dependence of the magnetostriction and mechanical response upon the geometry of the superconductors is systematically studied in terms of Bean's critical state model with consideration of the demagnetizing effects. The results show that the magnetostriction curves for different geometric shapes of cylinders and rings have different features. The magnetostriction curve has a larger vertical width for a finite cylinder with a smaller aspect ratio, however it shows reversal behaviour for a ring with specific shapes. Flux-pinning-induced displacement and stress distributions are also presented. Simultaneously, the spatial distributions of the radial, hoop and axial stress components in a whole superconductor are shown during field rise from the virgin state, and subsequent field descent. It seems that the mechanical response of a finite sample is similar to that of an infinitely long or a thin superconductor, but it also has a difference due to the boundary and demagnetization effects.

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Stress and magnetostriction in an infinite hollow superconducting cylinder with a filling in its central hole

Cited by 20 publications

References 25 publications

Exponent model for stress distributions in a superconducting cylinder with a concentric elliptic hole

Exponent model for stress distributions in a superconducting cylinder with a concentric elliptic hole

Mechanical Stress in the Superconducting Film Under External Magnetic Field

Magnetostrictive behaviors of type-II superconducting cylinders and rings with finite thickness

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