Abstract
In this paper, the nonlinear mechanical behaviors of Nb3Sn superconducting composite wires have been investigated by the quasi-static loading-unloading tensile and fatigue tests at the temperature of 77 and 300 K, respectively, which indicates that the quasi-static stress-strain curves and energy dissipations exhibit strong nonlinearity. Meanwhile, the nonlinear and linear unloading modulus are derived by considering the damage degradation, and the elastic-plastic constitutive is proposed to predict the quasi-static loading-unloading stress-strain responses and energy dissipation. Moreover, the damage evolution model has been conducted to elucidate the energy dissipation of fatigue tests for the Nb3Sn composite wire at the temperature of 77 and 300 K. The combination of experimental and theoretical results indicates that the nonlinearity of energy dissipation is caused by damage degradation during quasi-static loading and unloading tensile tests. Furthermore, the fatigue fracture modes of Nb3Sn composite wires also have been analyzed, which indicated that the Nb3Sn sub-elements show brittle fracture at the temperature of 77 K while ductile fracture at the temperature of 300 K. These findings provide novel insights into the nonlinear mechanical behaviors of Nb3Sn superconducting composite wires.
摘要
本文通过对Nb3Sn超导复合股线在77 K和300 K下进行准静态加卸载拉伸和疲劳实验, 研究了Nb3Sn超导复合股线的非线性力学行为, 结果表明: Nb3Sn超导复合股线的准静态应力-应变曲线和能量耗散具有很强的非线性. 同时, 考虑塑性应变产生的损伤退化,推导了卸载过程中非线性和线性卸载模量, 提出了考虑损伤的双曲面弹塑性本构模型来预测准静态加卸载应力-应变响应和能量耗散;通过疲劳损伤演化模型分析和预测Nb3Sn超导复合股线在77 K和300 K下疲劳过程中的能量耗散. 理论与实验结果对比表明: 准静态加卸载拉伸实验中损伤退化是能量损耗产生非线性的主要原因. 此外, 对Nb3Sn超导复合股线的疲劳断裂模式进行了分析, 结果表明: Nb 3Sn芯丝组在77 K时表现为脆性断裂, 在300 K时表现为韧性断裂. 这些新发现为研究Nb3Sn超导复合股线的非线性力学行为提供了新的视角.
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Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11872196, 12232005 and U2241267).
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You-He Zhou and Xingyi Zhang designed the research. Lang Jiang wrote the first draft of the manuscript, set up the experiment set-up and processed the experiment data. Xingyi Zhang helped organize the manuscript, and revised and edited the final version.
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Jiang, L., Zhang, X. & Zhou, YH. Nonlinear static and dynamic mechanical behaviors of Nb3Sn superconducting composite wire: experiment and analysis. Acta Mech. Sin. 39, 122322 (2023). https://doi.org/10.1007/s10409-022-22322-x
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DOI: https://doi.org/10.1007/s10409-022-22322-x