不同硬度30CrMnSiNi2A钢的动态本构与损伤参数

李磊; 张先锋; 吴雪; 高飞; 刘闯

doi:10.11858/gywlxb.2017.03.005

不同硬度30CrMnSiNi2A钢的动态本构与损伤参数

doi: 10.11858/gywlxb.2017.03.005

南京理工大学机械工程学院，江苏南京 210094

基金项目:

中共中央组织部青年拔尖人才支持计划 2014

爆炸冲击防灾减灾国家重点实验室(解放军理工大学)开放基金 DPMEIKF201405

详细信息

作者简介:
李磊(1990-), 男, 硕士研究生, 主要从事材料动态力学性能及损伤演化研究. E-mail:lilei-njust202@163.com

通讯作者:
张先锋(1978-), 男, 博士, 教授, 主要从事高效毁伤与防护研究.E-mail:lynx@njust.edu.com

中图分类号: O347.3
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出版历程
- 收稿日期: 2016-09-06
- 修回日期: 2016-12-14

Dynamic Constitutive and Damage Parameters of 30CrMnSiNi2A Steel with Different Hardnesses

School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China

摘要

摘要: 为研究材料硬度对30CrMnSiNi2A钢动态本构与损伤参数的影响，基于万能材料试验机、分离式霍普金森压杆(SHPB)实验装置，研究了4种不同硬度30CrMnSiNi2A钢的准静态和动态力学性能。利用屈服强度与应变率、等效塑性应变的关系确定了Johnson-Cook强度模型参数，通过失效应变与应力三轴度、应变率的关系确定了Johnson-Cook失效模型参数，分析了强度模型和失效模型中参数的变化规律。结果表明：随着硬度的增加，30CrMnSiNi2A钢的塑性减弱，脆性增强，应变率敏感性减弱；硬度对30CrMnSiNi2A钢的动态本构与损伤参数有显著影响。
- 本构模型 /
- 损伤参数 /
- 30CrMnSiNi2A钢 /
- Johnson-Cook模型 /
- 分离式霍普金森压杆(SHPB)
Abstract: To find out about the effect of hardness on the dynamic behavior and the damage parameters of 30CrMnSiNi2A steel, we investigated the quasi-static and dynamic mechanical properties of different steel alloys with the hardness of 31HRC, 36HRC, 45HRC and 55HRC using a universal material testing machine and a split Hopkinson pressure bar (SHPB).Based on the relationship among the yield strength, the strain rate and the equivalent plastic strain, we determined the parameters of Johnson-Cook constitutive model of 30CrMnSiNi2A steel with different hardnesses.Furthermore, we obtained the parameters of Johnson-Cook failure model for 30CrMnSiNi2A steel by the relationship among the failure strain, the stress triaxiality and the strain rate, and summarized the remarkable influence of the hardness on the parameters of Johnson-Cook constitutive model and failure model of 30CrMnSiNi2A steel.The results show that, as the hardness of 30CrMnSiNi2A steel increases, its plasticity and strain rate sensitivity decreases, but its brittleness increases.
- constitutive model /
- damage parameters /
- 30CrMnSiNi2A steel /
- Johnson-Cook model /
- split Hopkinson pressure bar

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图 1 不同硬度试件的真实应力-应变关系

Figure 1. True stress-true strain curves of specimens with different hardnesses

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图 2 实验前、后的试件对比

Figure 2. Comparison of original with deformed specimens

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图 3 拉伸试件的外形和尺寸

Figure 3. Geometry and dimension of tensile specimen

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图 4 拉伸实验后不同硬度试件的形貌

Figure 4. Fractured specimens with different hardnesses

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图 5 拉伸实验后试件的断口形貌

Figure 5. Facture morphology of different tensile specimens

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图 6 缺口拉伸试件尺寸及外形

Figure 6. Geometry and dimension of pre-notched cylinder specimens

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图 7 在不同应变率下不同硬度试件的应力-应变关系

Figure 7. Stress-true strain curves of specimens with different hardnesses at different strain rates

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图 8 应力-应变曲线的实验结果与拟合结果对比

Figure 8. Comparison of experimental data with fitted result of stress versus strain

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图 9 J-C本构模型参数与硬度的关系

Figure 9. J-C constitutive model parameters vs.hardness

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图 10 J-C失效模型参数与硬度的关系

Figure 10. J-C failure model parameters vs.hardness

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表 1 30CrMnSiNi2A钢的化学成分(质量分数)

Table 1. Composition of 30CrMnSiNi2A steel (Mass fraction)

(%)
C	Si	Mn	Cr	Ni	Cu	P	S
0.300	1.040	1.160	1.030	1.680	0.080	0.014	0.020

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表 2 拉伸实验结果

Table 2. Results of tensile experiments

Specimen No.	H_RC	ε_f
Specimen No.	H_RC	1×10^-4 s^-1	1×10^-3 s^-1	1×10^-2 s^-1
Ⅰ	31	1.0207	1.0478	1.1129
Ⅱ	36	0.9478	0.9843	1.0055
Ⅲ	45	0.8393	0.8655	0.8850
Ⅳ	55	0.0409	0.0642	0.0740

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表 3 缺口拉伸实验结果

Table 3. Tensile experiment results of pre-notched specimens

Specimen No.	H_RC	ε_f
Specimen No.	H_RC	R=3 mm (η=0.9385)	R=6 mm (η=0.6806)	R=9 mm (η=0.5781)	R→∞ (η=0.3333)
Ⅰ	31	0.4968	0.6319	0.7236	1.0478
Ⅱ	36	0.4024	0.4852	0.5789	0.9843
Ⅲ	45	0.2456	0.2797	0.3321	0.8655
Ⅳ	55	0.0228	0.0269	0.0404	0.0642

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表 4 不同硬度的试件在不同应变率下的屈服强度

Table 4. Yield strength of specimens with different hardnesses at different strain rates

Specimen No.	H_RC	${\dot \varepsilon }$ /(s^-1)	σ_yd/(MPa)
Ⅰ	31	1600 3050 4100 6500	892 916 935 949
Ⅱ	36	1300 2150 3400 5500	947 968 989 1012
Ⅲ	45	1200 2200 3500 5200	1495 1515 1534 1550
Ⅳ	55	1250 1650 2700 4250	1878 1896 1911 1926

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表 5 不同硬度试件的k和r

Table 5. k and r of specimens with different hardnesses

Specimen No.	H_RC	k	r/(s^-1)
Ⅰ	31	94760	0.697
Ⅱ	36	125222	0.678
Ⅲ	45	552721	0.575
Ⅳ	55	7725663	0.343

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表 6 不同硬度试件的J-C模型参数

Table 6. J-C model parameters of specimens with different hardnesses

Specimen No.	H_RC	A/(MPa)	B/(MPa)	n	C	D₁	D₂	D₃	D₄
Ⅰ	31	742	623.11	0.424	0.061	0.351	1.650	2.589	0.020
Ⅱ	36	814	643.57	0.446	0.055	0.348	2.673	4.333	0.012
Ⅲ	45	1269	810.18	0.479	0.040	0.239	8.593	7.867	0.009
Ⅳ	55	1516	1537.97	0.610	0.017	0.014	0.015	3.251	0.007

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