Stress Distributions of Rectangular Thin-Film Superconductor with a Centric Hole
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ORIGINAL PAPER
Stress Distributions of Rectangular Thin-Film Superconductor with a Centric Hole R. Y. Wang 1 & W. J. Feng 1 & Z. Yan 1 Received: 12 March 2020 / Accepted: 2 July 2020 # Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract In this paper, the stress distributions of rectangular thin-film superconductors with a centric rectangular or elliptical hole are investigated. The bean critical current density model is adopted. In the present work, the influence of the existing hole on both the current density and magnetic field in the rectangular thin film is considered. By virtue of the minimum magnetic energy method, the principal stresses are calculated. Finally, the numerical examples about stress analysis along hole edge are examined and discussed in detail. Some important phenomena are found, which should be helpful for the analysis and design of superconducting film structure. Keywords Superconducting thin film . Rectangular film . Centric hole . Principal stress
1 Introduction As known, the high-temperature superconductors containing a centric hole are expected to be common components in designs [1] because of their improved superconducting properties [2]. Additionally, in the production and manufacturing process of superconducting materials, some flaws in them including holes are usually unavoidable as well [3]. Therefore, it is very important to analyze the mechanical behaviors of superconducting materials with holes. In fact, the problems of thin-film superconductors with holes have been widely investigated [4–13]. Among them, Vestgarden et al. investigated the flux distribution in superconducting films with holes [4]. Raedts et al. explored the vortex dynamics and the flux pinning properties of superconducting Pb films with an array of micro-holes and non-fully perforated holes [5]. Van et al. investigated the anisotropic vortex pinning in a superconducting film with a square array of rectangular submicron holes, where two types of antidots are considered [6]. Wang et al. considered the maximum critical current problems of a superconducting film [7]
* W. J. Feng [email protected] 1
Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, People’s Republic of China
and found that introducing nanoscale holes into the superconducting film would increase the corresponding critical current. Brandt numerically obtained the static and dynamic electromagnetic properties for thin superconducting films of any shape and size [8]. Vestgarden et al. investigated the cascade dynamic problems of thermomagnetic avalanches in superconducting films with holes [9]. He et al. studied the response of superconducting Nb films with a diluted triangular and square array of holes to a perpendicular magnetic field [10]. Additionally, Patel et al. and Kamran et al., respectively, analyzed the matching effect in a superconducting film with holes [11, 12], whilst Bentner et al. considered the effect of submicron holes on the vortex dynamics of a superconducting micr
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