Preisach-Mayergoyz模型分析金属镁与钴的非线性弹性变形

摘要

A classic hysteretic model,Preisach-Mayergoyz model(P-M model),was used to calculate the nonlinear elastic deformation of magnesium(Mg)and cobalt(Co).Mg and Co samples in cylinder shape were compressively tested by uniaxial test machine to obtain their stress--strain curves with hysteretic loops.The hysteretic loops do have two properties of P-M hysteretic systems:wiping out and congruency.It is proved that P-M model is applicable for the analysis of these two metals'hysteresis.This model was applied on Mg at room temperature and Co at 300 ℃.By the P-M model,Co and Mg nonlinear elastic deformation can be calculated based on the stress history.The simulated stress--strain curves agree well with the experimental results.Therefore,the mechanical hysteresis of these two metals can be easily predicted by the classic P-M hysteretic model.%应用一个经典滞后模型Preisach-Mayergoyz模型(P-M模型)计算金属镁与钴的非线性弹性变形,模拟这两种金属的应力一应变曲线中的滞后环.分析实验所获取的应力一应变曲线,金属镁和钴的力学滞后具有成为P-M滞后的2个充分必要条件:抹除性和一致性.它们的力学滞后可以应用P-M模型分析.证明了金属镁这种重要的结构材料的菲线性弹性变形具有这种特性,钴在300℃的高温下具有这种性能.P-M模型提供了一种简单的方法计算这两种金属的非线性弹性变形.模拟计算的结果和实验结果吻合良好.