Lin Chien-Hong, Zhan You-Shu, Deng Zhangxian
Department of Mechanical Engineering, National Cheng Kung University, 1 University Road, Tainan City 70101, Taiwan.
UltraSense Systems, No. 95, Weixin St., Zhubei City, Hsinchu County 302081, Taiwan.
Compos Struct. 2023 May 1;311. doi: 10.1016/j.compstruct.2023.116781. Epub 2023 Feb 11.
This study presents a mathematical framework for two-phase magnetostrictive composites composed of oriented and non-oriented magnetostrictive Terfenol-D particles embedded in passive polymer matrices. The phase constitutive behavior of the monolithic Terfenol-D with arbitrary crystal orientations is represented by a recently developed discrete energy averaged model. This unique Terfenol-D constitutive model results in close-form and linear algebraic equations accurately describing the nonlinear magnetostriction and magnetization in magnetostrictive composites subjected to a given loading or magnetic field increment. The effectiveness of this new mathematical framework in capturing magnetostrictive particle size orientation, phase volume fractions, mechanical loading conditions, and magnetic field excitations are validated using a series of experimental data available in literature. Compared to existing models that prevalently addressed particle orientation in composite constitutive level, the model framework in this study directly handles particle orientation in the phase constitutive level, and therefore achieves enhanced efficiency while maintaining comparable accuracy.
本研究提出了一种用于两相磁致伸缩复合材料的数学框架，该复合材料由嵌入无源聚合物基体中的取向和非取向磁致伸缩铽镝铁（Terfenol-D）颗粒组成。具有任意晶体取向的整体铽镝铁的相本构行为由最近开发的离散能量平均模型表示。这种独特的铽镝铁本构模型产生了精确描述在给定载荷或磁场增量作用下磁致伸缩复合材料中的非线性磁致伸缩和磁化的闭式线性代数方程。利用文献中现有的一系列实验数据验证了这个新的数学框架在捕捉磁致伸缩颗粒尺寸取向、相体积分数、机械载荷条件和磁场激励方面的有效性。与现有在复合材料本构水平上普遍处理颗粒取向的模型相比，本研究中的模型框架直接在相本构水平上处理颗粒取向，因此在保持相当精度的同时提高了效率。
