Constitutive equation of expanding cylindrical shell at constant strain rate
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摘要: 考虑到金属柱壳膨胀过程中随机裂纹萌生对测试结果的可能干扰，设计了预置有中心穿透圆孔的柱壳样品，采用多普勒光纤探针测量系统获得了柱壳外壁更优的径向速度历史。基于膨胀柱壳实验中固有的非恒定应变率现象，研究了获得恒定应变率下本构方程的方法，并采用改进后的本构方程确定方法，获得了20钢恒定应变率下的应力应变关系。Abstract: In this work, taking into account of the interference of random cracks in the expansion process, we designed a cylindrical sample made with a preset hole. Then, using the Doppler pins system (DPS), we obtained some better curves for the cylinder's radial speed histories. Based on the non-constant strain rate phenomena in the expanding ring and expanding cylinder experiments, we conducted experiments and studied a method for obtaining constitutive equation at constant strain rate. The improved constitutive equation method was used to obtain the modified constitutive equation at constant strain rate for 20 steel.
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图 2 膨胀柱壳典型的速度、应变率随时间的变化曲线
Figure 2. Curves for typical velocity and strain rate of expanding cylinder
图 3 新型爆炸膨胀柱壳实验装置及实验测试布局示意图
Figure 3. Schematic illustration of explosive expanding cylinder test
图 4 20钢柱壳径向速度曲线
Figure 4. Velocity along radial direction of 20 steel expanding cylinder
图 7 应力应变曲线及恒定应变率数据点分布
Figure 7. Curve of stress vs. strain and distribution of constant strain rate dates
表 1 20钢柱壳膨胀断裂实验参数
Table 1. Experimental parameters of 20 steel expanding cylinders
实验号 材料 r/mm R/mm h/mm D/mm m/g ρ/(g·cm-3) 1 20钢 40.0 42.0 30.0 10.00 4.84 1.100 2 20钢 40.0 42.0 30.0 11.94 7.25 1.156 3 20钢 40.0 42.0 30.0 11.98 7.25 1.149 4 20钢 40.0 42.0 30.0 14.00 9.77 1.133 
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