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    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

    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.

       

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