{"title":"Crack-inclusion problem in a superconducting cylinder under pulsed field magnetization","authors":"Yufeng Zhao, Jing Yu","doi":"10.1007/s00707-025-04337-2","DOIUrl":null,"url":null,"abstract":"<div><p>This paper presents a numerical analysis of the fracture behavior of bulk superconductors featuring linear cracks and circular inclusions when subjected to a pulsed magnetic field, and the influence of cracks and inclusions on superconductors under the action of pulsed magnetic field is studied. A correlation finite element model is established to calculate the stress intensity factor at the crack tip using the J integral method, and the influence of crack length, crack location and inclusion size on crack behavior is discussed. The results indicate that the crack closes during the ascending phase of the pulse. In the descending stage of the pulse, the reduction in the inclusion radius, the increase in the distance between the crack tip and the inclusion, and the expansion of the crack radius all promote the crack propagation. Furthermore, the influence of thermal stress on crack propagation intensifies as the pulse duration decreases. Additionally, the propagation speed of the crack at the left and right tips consistently differs.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3385 - 3396"},"PeriodicalIF":2.9000,"publicationDate":"2025-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-025-04337-2","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper presents a numerical analysis of the fracture behavior of bulk superconductors featuring linear cracks and circular inclusions when subjected to a pulsed magnetic field, and the influence of cracks and inclusions on superconductors under the action of pulsed magnetic field is studied. A correlation finite element model is established to calculate the stress intensity factor at the crack tip using the J integral method, and the influence of crack length, crack location and inclusion size on crack behavior is discussed. The results indicate that the crack closes during the ascending phase of the pulse. In the descending stage of the pulse, the reduction in the inclusion radius, the increase in the distance between the crack tip and the inclusion, and the expansion of the crack radius all promote the crack propagation. Furthermore, the influence of thermal stress on crack propagation intensifies as the pulse duration decreases. Additionally, the propagation speed of the crack at the left and right tips consistently differs.
期刊介绍：
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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