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Thermodynamic Modelling of Ferromagnetic Shape Memory Actuators

机译：铁磁形状记忆驱动器的热力学建模

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摘要

We present a thermodynamic Gibbs free''energy model for the finite element simulation of the coupled thermo-magneto-mechanicar behavior of ferromagnetic shape memory alloys (FSMAs). Starting from a Tree energy moder for the conventionarshape memory effect, additionarterms are included to takeinto account the magnetic anisotropy and the geometry-dependent magnetostatic energy. Different functions are considered for the strain dependence ofthe anisotropy energy in order to describe the experimentally found strong dependence of the anisotropy energy on the ratio of short and long crystallographic axis c/a. The resulting energy landscape is used to calculate the transition probabilities between three martensite variants and the austenite state under applied stress and external magnetic field.'The magnetic shape memory effect is simulated for different loading conditions and sample geometries. We demonstrate the influence ofthe c/a dependence of the anisotropy energy as well as the influence of twinning strain and elastic modulus on the transition between martensite variants. The model calculations are compared with experimentarresults on Ni-Mn-Ga single crystals.
机译：我们提出了铁磁形状记忆合金（FSMAs）耦合热磁机械行为的有限元模拟的热力学吉布斯自由能模型。从用于常规形状记忆效果的Tree能量调制器开始，包含了其他术语以考虑磁各向异性和与几何相关的静磁能。为了描述各向异性能量对应变的依赖性，考虑了不同的函数，以便描述实验发现的各向异性能量对长短结晶轴c / a之比的强烈依赖性。由此产生的能量分布图被用来计算三种马氏体变体与外加应力和外部磁场作用下奥氏体状态之间的跃迁概率。'磁形状记忆效应是针对不同的加载条件和样品几何形状而模拟的。我们证明了各向异性能量的c / a依赖性以及孪生应变和弹性模量对马氏体变体之间过渡的影响。将模型计算与Ni-Mn-Ga单晶的实验结果进行了比较。

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