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Fracture analysis for a penny-shaped crack problem of a superconducting cylinder in a parallel magnetic field

机译:平行磁场中超导圆柱体的一角形裂纹问题的断裂分析

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In this work, the penny-shaped crack problem is investigated for an infinite long superconducting cylinder under electromagnetic forces. The distributions of magnetic flux density in the superconducting cylinder are obtained analytically for both the zero-field cooling (ZFC) and the field cooling (FC) activation processes, where the magnetically impermeable crack surface condition and the Bean model outside the crack region are adopted. Based on the finite element method (FEM), the stress intensity factor (SIF) and energy release rate (ERR) at the crack tips in the process of field descent are further numerically calculated. Numerical results obtained show that according to the maximal energy release rate criterion, the FC process is generally easier to enhance crack initiation and propagation than the ZFC activation process. On the other hand, for the FC activation process, the larger the maximal applied magnetic field, more likely the crack propagates. Additionally, crack size has important and slightly different effects on the crack extension forces for the ZFC and FC cases. Thus, all of the activation processes, the applied field and the diameter of the penny-shaped crack have significant effects on the intensity analysis and design of superconducting materials.
机译:在这项工作中,研究了无限长的超导圆柱体在电磁力作用下的便士形裂纹问题。对于零场冷却(ZFC)和场冷却(FC)活化过程,通过分析获得了超导圆柱体中的磁通密度分布,其中采用了不透磁的裂纹表面条件和裂纹区域之外的Bean模型。基于有限元法(FEM),进一步数值计算了下降过程中裂纹尖端的应力强度因子(SIF)和能量释放率(ERR)。获得的数值结果表明,根据最大能量释放速率准则,与ZFC活化过程相比,FC过程通常更容易增强裂纹的萌生和扩展。另一方面,对于FC激活过程,最大施加磁场越大,裂纹扩展的可能性就越大。此外,对于ZFC和FC情况,裂纹尺寸对裂纹扩展力具有重要的影响,且影响稍有不同。因此,所有的激活过程,施加的电场和一角形裂纹的直径对超导材料的强度分析和设计都有重要影响。

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