Contact force is related to the mechanical response of superconducting strands under a large electromagnetic body force, which is important for the safety of the international thermonuclear experimental reactor (ITER) magnet structure. Due to the complex structure of the cable-in-conduit conductor (CICC), the component unit of the ITER magnet, and the extreme operating environment, the research on the strand contact force caused by the electromagnetic force has been progressing slowly. In this study, a two-dimensional (2D) theoretical model based on the granular element method is constructed to compute the contact forces among some opaque and non-photoelastic ferromagnetic particles which are placed in a non-uniform magnetic field. In the experiment, the contact deformations of these particles may be obtained by the digital image correlation method. We also propose a method, which is similar to the least-squares method, to calculate the electromagnetic body forces of different particles. Subsequently, the distributional and statistical characteristics of the contact force chains and contact angles are presented. It is considered that the method proposed in this paper is suitable for the contact force analysis of the cross section of superconducting strands in the ITER CICC that is subjected to a transverse electromagnetic force. In the end, this 2D theoretical model is generalized to the three-dimensional (3D) case, and the concise mathematical framework is presented.

接触力与超导体股线在大电磁体力作用下的机械响应有关，这对国际热核实验堆（ITER）磁体结构的安全性具有重要意义。由于电缆套管导体（CICC）结构复杂，ITER磁铁的组成单元以及极端的运行环境，电磁力引起的股线接触力的研究进展缓慢。在这项研究中，构建了基于颗粒元方法的二维 (2D) 理论模型来计算置于非均匀磁场中的一些不透明和非光弹性铁磁颗粒之间的接触力。在实验中，这些颗粒的接触变形可以通过数字图像相关方法获得。我们还提出了一种类似于最小二乘法的方法来计算不同粒子的电磁体力。随后，介绍了接触力链和接触角的分布和统计特征。认为本文提出的方法适用于ITER CICC中超导股线在横向电磁力作用下的截面接触力分析。最后，将该二维理论模型推广到三维（3D）情况，并给出简洁的数学框架。计算不同粒子的电磁体力。随后，介绍了接触力链和接触角的分布和统计特征。认为本文提出的方法适用于ITER CICC中超导股线在横向电磁力作用下的截面接触力分析。最后，将该二维理论模型推广到三维（3D）情况，并给出简洁的数学框架。计算不同粒子的电磁体力。随后，介绍了接触力链和接触角的分布和统计特征。认为本文提出的方法适用于ITER CICC中超导股线在横向电磁力作用下的截面接触力分析。最后，将该二维理论模型推广到三维（3D）情况，并给出简洁的数学框架。认为本文提出的方法适用于ITER CICC中超导股线在横向电磁力作用下的截面接触力分析。最后，将该二维理论模型推广到三维（3D）情况，并给出简洁的数学框架。认为本文提出的方法适用于ITER CICC中超导股线在横向电磁力作用下的截面接触力分析。最后，将该二维理论模型推广到三维（3D）情况，并给出简洁的数学框架。