Force-Magnetic Coupling Mesoscopic Model Establishment and Stress-Strain Relation Simulation of NiMnGa Alloy/Epoxy Resin Composites
摘 要
基于热力学理论和等效夹杂原理建立了包含机械能、化学自由能、磁晶各向异性能、Zeeman能和再取向过程硬化函数的NiMnGa合金/环氧树脂(NiMnGa/ER)复合材料的力磁耦合细观模型,模拟了零场下复合材料的应力-应变曲线,并与试验结果进行对比,最后预测了不同磁场强度(0~1.8 T)和磁场角度(与应力方向的夹角,0°,45°)下复合材料的应力-应变曲线。结果表明:模拟得到复合材料中马氏体变体再取向和逆再取向的临界应力分别为39.2,41.8 MPa,与试验结果的相对误差均不大于1.2%,验证了模型的准确性。磁场角度为45°下复合材料的应力-应变迟滞环比磁场角度0°下更大;当磁场角度为0°时,磁场强度越大,应力-应变迟滞环越大。
Abstract
Based on thermodynamics theory and equivalent inclusion principle, a force-magnetic coupling mesoscopic model of NiMnGa alloy/epoxy resin (NiMnGa/ER) composites including mechanical energy, chemical free energy, magnetocrystalline anisotropy energy, Zeeman energy and hardening fuction of reorientation process was derived. The stress-strain curves of the composite were simulated under zero magnetic field and compared with the test results. Finally, the stress-strain curves under different magnetic field intensities and angles (angle to stress direction, 0°, 45°) were predicted. The results show that the critical stresses of the reorientation of martensitic variants in the composites were 39.2 MPa, and of the reverse reorientation were 41.8 MPa, and the relative errors with the test results were all no more than 1.2%, verifying the accuracy of model. The stress-strain hysteresis loop of the composite at 45° magnetic field angle was larger than that at 0° magnetic field angle. When the magnetic field angle was 0°, the greater the magnetic field intensity, the greater the stress-strain hysteresis loop.
中图分类号 O341 DOI 10.11973/jxgccl202307017
所属栏目 物理模拟与数值模拟
基金项目 国家自然科学基金资助项目(11802206)
收稿日期 2022/4/28
修改稿日期 2023/5/25
网络出版日期
作者单位点击查看
联系人作者薛立军
备注刘辉(1994-),男,山西大同人,硕士研究生
引用该论文: LIU Hui,XUE Lijun,CHEN Jiangxu. Force-Magnetic Coupling Mesoscopic Model Establishment and Stress-Strain Relation Simulation of NiMnGa Alloy/Epoxy Resin Composites[J]. Materials for mechancial engineering, 2023, 47(7): 104~110
刘辉,薛立军,陈江旭. NiMnGa合金/环氧树脂复合材料力磁耦合细观模型的建立及应力-应变关系模拟[J]. 机械工程材料, 2023, 47(7): 104~110
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【3】HOSODA H,TAKEUCHI S,INAMURA T,et al.Material design and shape memory properties of smart composites composed of polymer and ferromagnetic shape memory alloy particles[J].Science and Technology of Advanced Materials,2004,5(4):503-509.
【4】SCHEERBAUM N,HINZ D,GUTFLEISCH O,et al.Compression-induced texture change in NiMnGa-polymer composites observed by synchrotron radiation[J].Journal of Applied Physics,2007,101(9):09C501.
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【6】MAHENDRAN M,FEUCHTWANGER J,TECHAPIESANCHAROENKIJ R,et al.Acoustic energy absorption in Ni-Mn-Ga/polymer composites[J].Journal of Magnetism and Magnetic Materials,2011,323(8):1098-1100.
【7】LIANG W,HE Y,LIU Y F,et al.Damping of Ni-Mn-Ga epoxy resin composites[J].Chinese Journal of Aeronautics,2013,26(6):1596-1605.
【8】TIAN B,CHEN F,TONG Y X,et al.The orientation dependence of transformation strain of Ni-Mn-Ga polycrystalline alloy and its composite with epoxy resin[J].Journal of Alloys and Compounds,2010,505(2):680-684.
【9】CONTI S,LENZ M,RUMPF M.Macroscopic behaviour of magnetic shape-memory polycrystals and polymer composites[J].Materials Science and Engineering:A,2008,481/482:351-355.
【10】朱玉萍.形状记忆合金材料的细观力学模型若干问题研究[D].北京:北京交通大学,2007:88-92. ZHU Y P.Some studies on micromechanics model for shape memory alloy[D].Beijing:Beijing Jiaotong University,2007:88-92.
【11】刘宇峰,梁伟,贺昱.NiMnGa颗粒/环氧树脂复合材料的力学性能研究[J].应用力学学报,2014,31(1):55-60. LIU Y F,LIANG W,HE Y.Mechanical properties of NiMnGa particles/epoxy composites[J].Chinese Journal of Applied Mechanics,2014,31(1):55-60.
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【13】JAFARZADEH S,KADKHODAEI M.Finite element simulation of ferromagnetic shape memory alloys using a revised constitutive model[J].Journal of Intelligent Material Systems and Structures,2017,28(19):2853-2871.
【14】GLOCK S,CANAL L P,GRIZE C M,et al.Magneto-mechanical actuation of ferromagnetic shape memory alloy/epoxy composites[J].Composites Science and Technology,2015,114:110-118.
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