45钢的温变形行为及本构模型
Thermal deformation behavior and constitutive model of 45 steel
李振江 1胡旭涛 1赵永琦 1庞有超 1齐会萍 1杨雯1
作者信息
- 1. 太原科技大学材料科学与工程学院 金属材料成型理论与技术山西省重点试验室,山西 太原 030024
- 折叠
摘要
在变形温度为 600～700℃,应变速率为 0.001～1 s-1 及变形量为 60%的条件下,采用Gleeble-3500 热模拟试验机对 45钢进行了等温压缩试验,研究了其温变形行为.在对 45 钢真应力-真应变曲线进行摩擦修正及绝热修正的双修正基础上,建立了 45 钢基于Arrhenius方程的本构方程、基于应变补偿的Arrhenius本构方程和BP(Back-propagation)神经网络的本构模型.结果表明:45 钢的流变应力对变形温度和应变速率十分敏感,随变形温度的升高而降低,随应变速率的增大而增加.通过计算本构方程的预测值和试验值的相关系数与平均相对误差发现:基于Arrhenius方程的本构方程,相关系数为 0.98537,平均相对误差为 3.1197%;基于应变补偿的Arrhenius本构方程,相关系数为 0.97923,平均相对误差为 4.42948%;基于BP神经网络的本构方程,相关系数为 0.99682,平均相对误差为 2.28368%,表明基于BP 神经网络的本构方程的整体预测性较好,具有较低的误差及较好的预测性.
Abstract
Under the conditions of deformation temperature of 600-700℃,strain rate of 0.001-1 s-1 and deformation amount of 60%,isothermal compression tests were conducted on 45 steel using Gleeble-3500 thermal simulation testing machine to study its thermal deformation behavior.On the basis of friction correction and adiabatic correction on the true stress-true strain curves of the 45 steel,the constitutive equation based on Arrhenius equation,the Arrhenius constitutive model based on strain compensation and the BP(Back propagation)neural network constitutive model were established for the 45 steel.The results show that the flow stress of the 45 steel is highly sensitive to deformation temperature and strain rate,decreasing with increasing deformation temperature and increasing with increasing strain rate.By calculating the correlation coefficient and the average relative error between the predicted values of the constitutive equation and experimental values,it is found that the correlation coefficient of the constitutive equation based on Arrhenius equation is 0.98537,and the average relative error is 3.1197%;the Arrhenius constitutive equation based on strain compensation has a correlation coefficient of 0.97923 and an average relative error of 4.42948%;the constitutive equation based on BP neural network has a correlation coefficient of 0.99682 and an average relative error of 2.28368%,indicating that the overall predictive performance of the constitutive equation based on BP neural network is good,with lower errors and better predictive performance.
关键词
45/钢/温变形行为/Arrhenius方程/应变补偿/BP神经网络Key words
45 steel/thermal deformation behavior/Arrhenius equation/strain compensation/BP neural network引用本文复制引用
基金项目
山西省基础研究计划(202203021211207)
山西省科技创新人才团队专项(202204051001002)
山西省重点研发计划(202202150401007)
出版年
2024
NETL
NSTL
万方数据