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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2026年5月7日

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  • Feng Xue,
  • Jingyu Wang,
  • Jianmin Long,
  • Xiaofan Gou

摘要

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.