Crack propagation in bulk superconductors under field magnetization: a nonlocal damage-electromagnetic coupling model

IF 4.6 2区工程技术 Q1 ENGINEERING, MECHANICAL

Acta Mechanica Sinica Pub Date : 2026-05-07 DOI:10.1007/s10409-025-25627-x

Feng Xue (, ), Jingyu Wang (, ), Jianmin Long (, ), Xiaofan Gou (, )

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Abstract

The structural integrity of bulk superconductors functioning as trapped field magnets presents a critical challenge for their engineering applications, where electromagnetic stress concentrations frequently initiate microcracks that propagate into catastrophic fractures during cyclic magnetization processes. To address this failure mechanism, we develop an innovative multiphysics modeling framework combining two computational methodologies: (1) the H-formulation for accurate electromagnetic field analysis in superconducting domains; (2) a nonlocal macro-meso damage model for simulating brittle fracture evolution, which demonstrates superior computational efficiency compared to conventional phase-field models. Systematic quantification reveals the magnetic flux distributions, current density profiles, and associated stress/strain fields in superconducting samples subjected to 10–20 T magnetic loading conditions. The proposed coupled computational platform enables comprehensive visualization of multiphysics interactions, providing critical insights for optimizing the mechanical reliability of superconducting magnet systems.

The alternative text for this image may have been generated using AI.

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场磁化作用下块状超导体裂纹扩展：非局部损伤-电磁耦合模型

作为捕获场磁体的体超导体的结构完整性对其工程应用提出了严峻的挑战，其中电磁应力集中经常引发微裂纹，并在循环磁化过程中扩展成灾难性裂缝。为了解决这一失效机制，我们开发了一种创新的多物理场建模框架，结合了两种计算方法：(1)超导域精确电磁场分析的h公式；(2)模拟脆性断裂演化的非局部宏细观损伤模型，与传统相场模型相比，具有更高的计算效率。系统的量化揭示了超导样品在10-20 T磁加载条件下的磁通量分布、电流密度分布和相关的应力场/应变场。所提出的耦合计算平台能够实现多物理场相互作用的全面可视化，为优化超导磁体系统的机械可靠性提供关键见解。此图像的替代文本可能是使用AI生成的。

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来源期刊

Acta Mechanica Sinica 物理-工程：机械

CiteScore

5.60

自引率

20.00%

发文量

1807

审稿时长

4 months

期刊介绍： Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences. Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences. In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest. Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics