(1. 大连理工大学 运载工程与力学学部 工业装备结构分析国家重点实验室,大连 116024;
2. 沈阳工业大学 材料科学与工程学院,沈阳 110870)
摘 要: 使用霍普金森压杆技术对挤压AZ91D镁合金进行3种应变速率下的动态压缩实验,基于实验数据的拟合确定了其动态压缩的Johnson-Cook (J-C)本构方程。采用拟合的J-C本构参数和LS-DYNA有限元软件对挤压AZ91D镁合金在3种应变速率下的SHPB实验进行了数值模拟,根据模拟得到的入射波、反射波和透射波形计算得到各应变速率下完整的应力-应变曲线,并与实验及拟合的应力-应变响应进行了对比。结果表明:当应变速率在400~1000 s-1之间变化时,AZ91D镁合金的应变速率敏感性随应变率增大而增大;基于J-C材料模型描述的AZ91D 镁合金应变速率相关的应力-应变本构模型,其数值模拟结果与拟合结果及实验结果基本吻合。
关键字: 挤压AZ91D镁合金;动态压缩实验;本构行为;数值模拟
(1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics,
Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, China;
2. School of Materials Science and Technology, Shenyang University of Technology,
Shenyang 110870, China)
Abstract:Dynamic compression experiments of extruded AZ91D magnesium alloy at three different strain rates were carried out based on split Hopkinson pressure bar (SHPB) technique, and a Johnson-Cook dynamic constitutive equation was obtained by fitting the experimental data. The SHPB dynamic compression of the material was simulated by using LS-DYNA software with the fitted Johnson-Cook constitutive parameters. Calculated incident, reflected, and transmitted waves were correlated with the stress-strain response of the extruded AZ91D sample using two-wave analytical method; the stress-strain curves at different strain rates obtained in the simulations were compared with the experimental and fitted stress-strain responses. The results show that the strain rate sensitivity of the extruded AZ91D Mg alloy increases with increasing the strain rate from 400 s-1 to 1000 s-1. The numerical simulation results and fitted results based on the Johnson-Cook strain-rate dependent constitutive model for the extruded AZ91D Mg alloy are basically in agreement with the experimental results.
Key words: extruded AZ91D Mg alloy; dynamic compression experiment; constitutive behavior; numerical simulation