Variant reorientation in a single-crystalline Ni–Mn-Ga sample induced by a quasi-static rotating magnetic field: Mechanism analyses based on configurational forces
Variant reorientation in a single-crystalline Ni–Mn-Ga sample induced by a quasi-static rotating magnetic field: Mechanism analyses based on configurational forces
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准静态旋转磁场引起的单晶 Ni-Mn-Ga 样品中的变体重新取向：基于构型力的机制分析
DOI：
10.1016/j.jallcom.2020.153940
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发表时间：
2020-06
影响因子：
6.2
通讯作者：
Zhenyi Zhang
中科院分区：
文献类型：
--
作者：
Jiong Wang;Zhenyi Zhang
本文介绍了在准静态旋转磁场诱导下单晶Ni-Mn-Ga样品的变取向的建模工作。首先，对Ni-Mn-Ga合金的变态分布、有效磁化强度和弹性能密度提出了一些本构假设。然后，推导了Ni-Mn-Ga样品在磁-机械耦合载荷作用下的总能量泛函。通过变分方法，建立了由磁场方程、磁场方程、内部变量演化规律和双界面运动准则组成的模型控制方程组。采用一种高效的数值格式对控制系统进行求解。利用得到的数值解，首先分析了孪晶界面上结构力的演化特性。重点研究了磁场施加方向对结构力的影响。分析了不同能量项对构型力的影响。基于这些结果，我们进一步对Ni-Mn-Ga样品在准静态旋转磁场作用下的磁力学行为进行了数值模拟。预测的Ni-Mn-Ga样品整体响应与实验结果吻合较好。还可以描述样品在不同加载阶段的结构和样品中一些重要物理量的分布。此外，通过考虑构型力的性质，可以揭示旋转场诱导变取向的潜在机制。
In this paper, we introduce a modeling work on the variant reorientation in a single-crystalline Ni–Mn-Ga sample induced by a quasi-static rotating magnetic field. First, some constitutive assumptions are proposed for the variant state distribution, the effective magnetization and the elastic energy density of Ni–Mn-Ga alloys. Then, the total energy functional for a Ni–Mn-Ga sample subject to coupled magneto-mechanical loads is formulated. Through a variational approach, the governing equation system of the model can be formulated, which is composed of the magnetic and mechanical field equations, the evolution laws of some internal variables and the twin interface movement criteria. An efficient numerical scheme is adopted to solve the governing system. With the obtained numerical solutions, we first analyze the evolution properties of the configurational force on the twin interfaces. Especially, the effects of the application directions of magnetic fields on the configurational force are investigated. The influences of the different energy terms on the configurational force are also analyzed. Based on these results, we further conduct numerical simulations on the magneto-mechanical behavior of the Ni–Mn-Ga sample subject to a quasi-static rotating magnetic field. The predicted global responses of the Ni–Mn-Ga sample show good consistency with the experimental result. The configurations of the sample and the distributions of some important physical quantities in the sample during the different loading stages can also be described. Furthermore, by considering the properties of the configurational forces, the underlying mechanisms responsible for the rotating field-induced variant reorientations can be revealed.
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影响因子：
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作者：
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通讯作者：
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DOI：
10.3233/jae-2006-732
发表时间：
2006
影响因子：
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DOI：
10.1007/3-540-31631-0_9
发表时间：
2005
期刊：
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影响因子：
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作者：
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