形状记忆合金基于Brinson模型的线性简化与分析

The Linear Modification and Analysis on the Basis of Brinson's Model about Shape Memory Alloys

针对形状记忆合金(SMA)超弹性本构模型进行研究,基于已有的Brinson本构模型进行多段线性简化,推导SMA在单圈完全加卸载、单圈不完全加载-卸载和多圈不完全加载-不完全卸载线性模型的计算公式;运用Matlab编写出多段线性模型代码用于数值模拟。通过原Brinson模型模拟与简化后的多段线性模型模拟的对比与分析,并结合已有的试验数据,分析应变幅值、温度参数对SMA超弹性耗能的影响,验证多段线性模型在简单的形状记忆合金超弹性性能的分析的可行性。

It explains the research of pseudo-elasticity constitutive model of shape memory alloys, linear modification was set up based on the Brinson＇s constitutive model to derivate the calculation formula of SMA on single loop fully loaded and unloaded、single loop partly loaded and fully unloaded、multiple loops partly loaded and unloaded. The codes for piecewise linear model were completed via Matlab in order to achieve the numerical simulation. The article analyzes the effect of strain amplitude and temperature parameters on the energy dissipation of SMA the comparison and analysis among experimental data present and the numerical simulation of Brinson＇s model and the piecewise linear model. Then, it was turned out that piecewise linear model is of good feasibility in simple analysis in SMA pseudo-elasticity.