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浙江大学学报(工学版)
JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE)
    
Finite element approach for nonlinear coupling analysis of magnetostrictive materials Terfenol-D
YANG Xing-wang, TAO Wei-ming
Department of Engineering Mechanics,Zhejiang University, Hangzhou 310027, China
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Abstract  

An explicit-incremental Finite-Element formulation and implementation approach in general FEM software was proposed to study the nonlinear coupling of magneto-mechanical properties and the response of giant magnetostrictive material Terfenol-D . This method based on the experimental data or some relevant constitutive models, it depicted the nonlinear variations of magnetostrictive materials properties in different prestress levels and bias magnetic field intensity through piecewise interpolation, then the Finite-Element and incremental formulation was given by means of the weak form equations and finally some numerical examples were performed in ABAQUS. The explicit interpolation avoided the general iterations in many other numerical methods and made this approach more efficiently, it just needed a numerical stability verification to calibrate a proper increment.The numerical results show that this method has good accuracy and stability, it can simulate the magnetostrictive response in different prestress levels and magnetic field intensity exactly and efficiently, simultaneously it can report the influence of the prestress on the maximal magnetostrictive strains, i.e. ‘the reversal phenomena’,it has some theoretical and practical significance in design and applications of magnetostrictive devices or nonlinear magneto-mechanical coupling analysis．

Published: 01 November 2014
CLC:  O 343  
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YANG Xing-wang, TAO Wei-ming. Finite element approach for nonlinear coupling analysis of magnetostrictive materials Terfenol-D. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 2014, 48(11): 2094-2100.

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http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2014.11.026     OR     http://www.zjujournals.com/eng/Y2014/V48/I11/2094


磁致伸缩材料Terfenol-D非线性耦合有限元分析

 为了研究巨磁致伸缩材料Terfenol-D的非线性耦合磁力特性及响应,提出一种增量显式有限元列式及其在通用有限元软件中的实现方法.该显式增量方法基于实验测得材料性质或非线性本构计算所得材料参数,通过分段插值函数描述磁致伸缩材料的材料参数随磁场和预应力的非线性变化关系,采用耦合方程的弱形式给出相应有限元列式及增量算法,并在通用有限元软件ABAQUS中执行数值算例.该方法通过显式插值避免大多数数值方法求解非线性方程组的迭代过程,只需要先进行稳定性验证来标定合适的增量步长即可保证结果的可靠性.数值分析结果表明,该方法具有较好的精度和稳定性,能够准确有效地模拟不同预应力水平和偏磁场强度下的磁致伸缩非线性耦合响应,同时能够反映预应力对最大磁致伸缩的影响,即“反转效应”.该方法对磁致伸缩器件的设计应用及力磁耦合非线性分析具有一定的理论和实际意义.

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