Introduction of Nonlinear Properties Into Hierarchical Models of ${\rm Nb}_{3}{\rm Sn}$ Strands

Performance of a ${\rm Nb}_{3}{\rm Sn}$ Quadrupole Under High Stress

“…Moreover, it is difficult to know the strain state of each wire in the magnet. Some work on ANSYS simulation is ongoing at LBNL [2], [3] in an attempt to model and understand the strand behavior on a microscopic level as well as a macroscopic level. Part of the simulation effort includes some tests which were carried out in collaboration between LBNL and CERN using the LARP TQS03 magnet.…”

Research progress on the mechanical behavior of the cable in conduit conductor for the international thermonuclear experimental reactor project

“…Wang等人 [25] 和Jing等人 [26] 分别建立了更 为精细的FEM模型与等效夹杂模型, 考虑了芯丝断 裂、节距、界面脱黏、初始残余应变、材料非线性本 构等多种因素的影响, 分析发现芯丝螺距对股线内 部应变以及股线应力应变曲线均会产生重要影响, 数值模拟结果与实验结果吻合较好. 意大利帕多瓦 大学Boso等人 [27,28] [29] 拓展 了这一模型, 将结构的非线性与材料弹塑性本构引 入Boso模型, 弥补了Boso模型无法描述非线性应力 应变曲线关系的缺陷 [30,31] . 实验方面, 为获得Nb 3 Sn股线轴向拉伸应力应变 曲线, 荷兰特温特大学(University of Twente)的 E i j n d e n 等 人 [ 3 2 ] 研 制 了 N b 3 S n 股 线 拉 伸 实 验 装 置 TARSIS(test arrangement for strain influence on strands), 并得到粉末管装法及内锡法Nb 3 Sn股线轴向循环载 荷下的应力应变曲线.…”

Computation of Strain State in a ${\rm Nb}_{3}{\rm Sn}$ Strand Using Nonlinear Hierarchical Models

“…In the present study, a multiscale model is developed and used to examine the relation between the strand and filament scales. As discovered previously [2], the copper portion of a strand exhibits plasticity, and therefore work hardening, simply from cooling the system down from room temperature to an operation temperature of 4.2 K. Therefore, it is necessary that a nonlinear material model is included in the problem formulation. As an extension to the previous work, complicated geometry effects are introduced, causing the homogenized superconductor copper composite to exhibit varying properties dependent on location.…”

“…Collins [2] has developed a basic nonlinear multiscale model between Restack Rod Process (RRP) strands and their corresponding filaments in order to extract the strain state present in the due to a cooldown from room temperature. Mitchell [3] has developed one and two dimensional models to simulate thermo-mechanical loads on strands to determine the corresponding strain state in filaments.…”