基于唯象相变理论的磁致伸缩材料耦合滞回动力学模拟

发布时间：2018-05-18 14:49

本文选题：磁致伸缩 + 磁极化翻转　；参考：《固体力学学报》2017年06期

【摘要】：论文基于改进的Landau唯象相变理论,构造一个耦合的非线性常微分方程模型来模拟一维磁致伸缩材料的磁滞动态特性.模型的构造通过引入一个非凸的自由能函数来模拟磁致伸缩磁材料中不可逆的磁极化翻转与磁致应变,该自由能函数的每一个局部极小值都对应材料的一个磁化方向.通过热力学平衡条件建立能刻画磁致伸缩效应的非线性本构关系.所构造的模型成功地模拟出了磁场与弹性场之间的磁滞曲线和蝶形曲线,并采用实验结果对模型进行了验证.
[Abstract]:Based on the improved Landau phenomenological phase transition theory, a coupled nonlinear ordinary differential equation model is constructed to simulate the hysteresis dynamic characteristics of one-dimensional magnetostrictive materials. The model is constructed by introducing a non-convex free energy function to simulate the irreversible magnetic pole reversal and magnetostrictive strain in magnetostrictive materials. Each local minimum of the free energy function corresponds to a magnetization direction of the material. The nonlinear constitutive relation which can describe magnetostrictive effect is established by thermodynamic equilibrium condition. The hysteresis curve and butterfly curve between the magnetic field and the elastic field are successfully simulated by the model, and the model is verified by the experimental results.
【作者单位】：浙江大学机械设计研究所;浙江大学数字技术及仪器研究所;
【基金】：国家自然科学基金项目(51575478、61571007) 浙江省重大科技计划项目(2012C01015-2)资助
【分类号】：O482.5

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