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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.
Based on the concept of thermodynamics and dissipation, a three-dimensional phenomenological constitutive relation of force and magnetic coupling of a magnetic shape memory alloy (MSMA) was deduced.Using internal variables to simulate microstructure and evolution of magnetic structure, martensitic transformation Process and martensite redirection process.At the same time, the dissertation abandoned the traditional single-domain assumption and used two-domain model to simulate the evolution of magnetic domain structure under cyclic loading.According to the experimental data of two-dimensional loading in the literature, the parameters of this model The numerical simulation results show that the model of the paper can well capture the shape memory effect, strain and magnetization response of the magnetic shape memory alloy.The simulation results of the strain and magnetization response are obviously more consistent with the experimental data in the literature Especially when the magnetic field.