磁性形状记忆合金力磁耦合行为的唯象模型研究  

A Phenomenological Model of MSMA with Magneto-mechanical Coupling Behavior

作　　者：龚臣成 万永平[1] 

机构地区：[1]同济大学航空航天与力学学院,上海200092

出　　处：《固体力学学报》2016年第2期135-144,共10页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(11372227);高等学校博士点基金项目(20130072110037)资助

摘　　要：论文基于热力学及耗散概念,推导了一种磁性形状记忆合金(MSMA)的力磁耦合三维唯象本构关系.采用内变量模拟微观相结构及磁结构的演化,考虑了马氏体相变过程及马氏体重定向过程.同时,论文摒弃了传统的单畴假设,运用双畴模型来模拟循环加载下的磁畴结构演化.根据文献中的二维加载情况的实验数据确定本模型的参数.数值模拟结果表明:论文的模型可以很好的捕捉磁性形状记忆合金的形状记忆效应、应变及磁化响应的滞后性.应变及磁化响应模拟结果明显比文献中的理论模型更加吻合实验数据,低磁场时尤为明显.Under magneto-mechanical loadings,magnetic shape memory alloys（MSMA）exhibit significant magnetic field-induced strain as well as stress-induced change of magnetization.These features make MSMA an important smart material in the applications of actuators and sensors,which calls for deep understanding of the constitutive behavior of MSMA.Based on thermodynamics and dissipation of energy,we developed a three-dimensional constitutive model of MSMA under magneto-mechanical loadings,with the martensitic transformation and reorientation considered simultaneously,and the evolution of crystallographic and magnetic microstructure described using internal state variables.As for the simulation of magnetic microstructure,the single-domain assumption was usually adopted in literature,implying that the magnetic structure has evolved into a single-domain when the reorientation process began.The single-domain assumption was believed to be suitable for the loading stage of magnetic field,but no longer valid for the unloading process.In the presented model,we used the dual-domain model to simulate the evolution of domain structure under cyclic loading.An arcsine function was selected to describe the macro magneto-mechanical responses induced solely by the evolution of magnetic domain.The simulation given by a reduced two-dimensional version of the presented model,with the parameters determined in terms of the experimental data of Ni2 MnGa in literature,showed that the constitutive model developed in this study was capable of capturing the magnetic shape memory effect and the hysteresis effect of strain as well as the magnetization responses.The results predicted by the presented model agreed very well with the experimental data,especially when the magnetic field was relatively low.It is believed that the presented constitutive model can well simulate the strain and magnetization responses of MSMA subjected to complex loading paths,especially for the cases involving unloading,during which the reverse reorientation is generally a

关 键 词：磁性形状记忆合金 马氏体变体重定向 磁场诱导相变 唯象模型 

分 类 号：TG139.6[一般工业技术—材料科学与工程]