Theoretical study and numerical simulations on the stress-induced twin interface nucleation in single-crystalline NiMnGa alloys
Theoretical study and numerical simulations on the stress-induced twin interface nucleation in single-crystalline NiMnGa alloys
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单晶 NiMnGa 合金应力诱发孪晶界面形核的理论研究与数值模拟
DOI：
10.1063/1.5115486
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发表时间：
2019-09
影响因子：
3.2
通讯作者：
Du Ping
中科院分区：
文献类型：
--
作者：
Wang Jiong;Du Ping
本文通过理论分析和数值模拟研究了单晶NiMnGa合金中应力诱导孪晶界面形核。首先，建立了单晶 NiMnGa 样品的机械控制系统，其中包含机械场方程和孪晶界面运动准则。为了完善控制系统，研究了一般机械载荷下 NiMnGa 样品中孪晶界面的形核。通过考虑一些物理量跨“虚拟”孪生界面的连接条件，推导了孪生界面上构型力的显式表达式。然后，基于孪晶界面运动准则，提出了预测孪晶界面成核的实用方案。该方案可以集成到求解机械控制系统的迭代数值算法中。为了证明该方案的有效性，对 NiMnGa 样品的两种典型变形（即轴向压缩和弯曲变形）给出了一些模拟结果，与实验结果具有良好的一致性。通过分析可能的成核界面上构型力的演化特性，可以揭示不同载荷条件下双界面成核的机制。本工作取得的成果对于利用NiMnGa合金进行智能器件的设计具有一定的参考价值。本文通过理论分析和数值模拟对单晶NiMnGa合金中应力诱导孪晶界面形核现象进行了研究。首先，建立了单晶 NiMnGa 样品的机械控制系统，其中包含机械场方程和孪晶界面运动准则。为了完善控制系统，研究了一般机械载荷下 NiMnGa 样品中孪晶界面的形核。通过考虑一些物理量跨“虚拟”孪生界面的连接条件，推导了孪生界面上构型力的显式表达式。然后，基于孪晶界面运动准则，提出了预测孪晶界面成核的实用方案。该方案可以集成到求解机械控制系统的迭代数值算法中。为了证明该方案的效率，给出了两种典型的仿真结果......
In this paper, the stress-induced twin interface nucleation in single-crystalline NiMnGa alloys is studied through theoretical analyses and numerical simulations. First, the mechanical governing system for a single-crystalline NiMnGa sample is formulated, which contains the mechanical field equation and the twin interface movement criteria. To complete the governing system, the nucleations of twin interfaces in the NiMnGa sample under general mechanical loads are investigated. By considering the connection conditions of some physical quantities across a “fictitious” twin interface, the explicit expression of the configurational force on the twin interface is derived. Then, based on the twin interface movement criteria, a practical scheme for predicting the twin interface nucleation is proposed. This scheme can be integrated into the iterative numerical algorithm for solving the mechanical governing system. To demonstrate the efficiency of this scheme, some simulation results are presented for two typical deformations of a NiMnGa sample (i.e., the axial compression and the bending deformation), which show good consistency with the experimental results. By analyzing the evolution properties of the configurational forces on the possible nucleation interfaces, the mechanism responsible for twin interface nucleations under different loading conditions can be revealed. The results obtained in the current work would be helpful for the design of smart devices by utilizing NiMnGa alloys.In this paper, the stress-induced twin interface nucleation in single-crystalline NiMnGa alloys is studied through theoretical analyses and numerical simulations. First, the mechanical governing system for a single-crystalline NiMnGa sample is formulated, which contains the mechanical field equation and the twin interface movement criteria. To complete the governing system, the nucleations of twin interfaces in the NiMnGa sample under general mechanical loads are investigated. By considering the connection conditions of some physical quantities across a “fictitious” twin interface, the explicit expression of the configurational force on the twin interface is derived. Then, based on the twin interface movement criteria, a practical scheme for predicting the twin interface nucleation is proposed. This scheme can be integrated into the iterative numerical algorithm for solving the mechanical governing system. To demonstrate the efficiency of this scheme, some simulation results are presented for two typical ...
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影响因子：
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作者：
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