膨胀柱壳恒定应变率的本构关系

郭昭亮; 任国武; 张世文; 汤铁钢; 刘仓理

doi:10.11883/1001-1455(2016)05-0583-07

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。

关键词:

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.

Key words:

图 1 膨胀柱壳运动分析示意图

Figure 1. Schematic of dynamic analysis of expanding cylinder

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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

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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

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图 4 20钢柱壳径向速度曲线

Figure 4. Velocity along radial direction of 20 steel expanding cylinder

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图 5 20钢实验1~4回收样品

Figure 5. Recovered samples of 20 steel experiments

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图 6 实验3膨胀断裂高速分幅图像

Figure 6. High-speed image frames of expanding and fracture

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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

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图 8 恒定应变率下的应力应变曲线

Figure 8. Stress-strain curves at constant strain rates

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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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