外部爆炸载荷下表面粗糙度对45钢柱壳剪切带行为的影响

杨智程; 刘龙飞; 刘炼煌; 殷鹏志; 吴志强

doi:10.11858/gywlxb.20220506

外部爆炸载荷下表面粗糙度对45钢柱壳剪切带行为的影响

doi: 10.11858/gywlxb.20220506

湖南科技大学材料科学与工程学院, 湖南湘潭　411201

基金项目: 国家自然科学基金（11772127，51704112）

详细信息

作者简介:
杨智程（1996－），男，硕士，主要从事冲击动力学研究. E-mail：444356771@qq.com

通讯作者:
刘龙飞（1975－），男，博士，教授，主要从事冲击动力学研究. E-mail：lfliu1@hnust.cn

中图分类号: O347; O521.2
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出版历程
- 收稿日期: 2022-01-27
- 修回日期: 2022-03-02
- 网络出版日期: 2022-07-19
- 刊出日期: 2022-07-28

Effect of Surface Roughness on Shear Band Behavior of 45 Steel Cylindrical Shell under External Explosion Load

College of Materials Science and Engineering, Hunan University of Science and Technology, Xiangtan 411201, Hunan, China

摘要

摘要: 通过厚壁圆筒爆轰坍塌实验和有限元数值模拟，研究了45钢柱壳内壁表面粗糙度对其剪切带行为的影响。实验结果表明：外爆加载下，金属柱壳内壁表面粗糙度显著改变试样剪切带的成核位置和数量；当柱壳内壁表面粗糙度增大时，剪切带的数量和长度均增加，部分剪切带的扩展速度也增大；而当柱壳内壁表面的峰谷单元的平均宽度减小时，其剪切带的成核点数量增加，相邻剪切带之间的相互作用增强。有限元模拟和分析结果表明，柱壳中的最大剪切应力产生于柱壳内壁表面峰谷单元的谷底两侧，表面粗糙度的增大和峰谷单元平均宽度的减小均会提升柱壳内表面的剪切应力，促进柱壳中剪切带的成核和扩展，进而导致剪切带成核数量增多，主剪切带发展加快，剪切带屏蔽效应增强。
- 45钢 /
- 有限元法 /
- 剪切带 /
- 表面粗糙度 /
- 成核
Abstract: The effects of different inner wall surface roughness of 45 steel cylindrical shell on its shear band behavior were studied based on detonation collapse experiments of thick walled cylinder and finite element numerical simulation. The experimental results show that the surface roughness of the inner wall of the metal cylindrical shell significantly changes the nucleation position and the quantity of the shear bands under external explosion load. When the surface roughness of the inner wall of the cylindrical shell increases, the quantity and length of the shear bands increase, and the propagation speed of some shear bands increases as well. When the average width of the valleys of the inner wall decreases, the interaction between adjacent shear bands enhances with the increase of the nucleation points in the shear band. The finite element simulation and the theoretical analysis show that the maximum shear stress in the cylindrical shell generates on both sides of the valley bottom of the inner wall in the cylindrical shell. The shear stress on the inner surface of the cylindrical shell is enhanced with the increase of surface roughness, or with the decrease of average width of valleys. As the shear stress augments, the nucleation and the propagation of shear bands in the cylindrical shell are promoted, the nucleation quantity of the shear bands increase, the development of the main shear bands accelerate, and the shielding effect of the shear bands enhance.
- 45 steel /
- finite element method /
- shear band /
- surface roughness /
- nucleation

HTML全文

图 1 45钢样品的粗糙度轮廓线

Figure 1. Roughness contour line of 45 steel sample

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图 2 45钢圆管的表面形貌

Figure 2. Surface morphology of 45 steel cylindrical shells

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图 3 TWC实验装置

Figure 3. Thick-walled cylinder experimental device

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图 4 表面粗糙度的二维模型

Figure 4. Two dimensional model of surface roughness

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图 5 不同应变下柱壳截面的宏观图像

Figure 5. Macro picture of cylinder cross section under different strains

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图 6 不同表面粗糙度样品的剪切带分布（ε_eff=0.73±0.01）

Figure 6. Distribution of shear band of samples with different roughnesses (ε_eff=0.73±0.01)

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图 7 不同表面粗糙度样品的剪切带分布（ε_eff=1.22±0.01）

Figure 7. Distribution of shear band in samples with different roughnesses (ε_eff =1.22±0.01)

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图 8 R_z=10.0 μm时具有不同表面粗糙度峰谷单元平均宽度的45钢柱壳的等效塑性应变云图（ε_eff=0.66）

Figure 8. Equivalent plastic strain nephogram of 45 steel cylindrical shell with different average widths of peak valley element (R_sm) of surface roughnesses at R_z=10.0 μm (ε_eff=0.66)

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图 9 R_z=50.0 μm时具有不同表面粗糙度峰谷单元平均宽度的45钢柱壳等效塑性应变云图（ε_eff=0.66）

Figure 9. Equivalent plastic strain nephogram of 45 steel cylindrical shell with different average widths of peak valley element (R_sm ) of surface roughnesses at R_z=50.0 μm (ε_eff=0.66)

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图 10 R_z=10.0 μm时具有不同表面粗糙度峰谷单元平均宽度的45钢柱壳的等效塑性应变云图（ε_eff=1.15）

Figure 10. Equivalent plastic strain nephogram of 45 steel cylindrical shell with different average widths of peak valley element (R_sm ) of surface roughnesses at R_z=10.0 μm (ε_eff=1.15)

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图 11 R_z=50.0 μm时具有不同表面粗糙度峰谷单元平均宽度的45钢柱壳的等效塑性应变云图（ε_eff =1.15）

Figure 11. Equivalent plastic strain nephogram of 45 steel cylindrical shell with different average widths of peak valley element (R_sm) of surface roughnesses at R_z=50.0 μm (ε_eff=1.15)

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图 12 表面粗糙度对柱壳内表面剪切应力的影响（R_sm=157 μm）

Figure 12. Effect of surface roughness on internal surface shear stress of cylindrical shell (R_sm=157 μm)

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图 13 表面粗糙度峰谷单元平均宽度对柱壳内表面剪切应力的影响（R_z=50.0 μm）

Figure 13. Effect of surface roughness peak valley element average width on internal surface shear stress of cylindrical shell (R_z=50.0 μm)

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表 1 45钢的化学成分

Table 1. Chemical composition of 45 steel %

C Si Mn S P Ni Cr Cu Fe

0.44 0.23 0.56 0.012 0.014 0.04 0.06 0.07 Rest

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表 2 实验装置的尺寸

Table 2. Size of experimental device

Component Internal diameter/mm Outer diameter/mm Length/mm Thickness/mm

Copper stopper 11 15 67 2
Specimen 15 21 67 3
Copper driver 21 25 67 2
Explosive 25 73 24

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表 3 表面粗糙度模拟参数

Table 3. Simulation parameters of surface roughness

No. R_z/μm R_sm/μm

1 10 471, 235, 157
2 50 471, 235, 157

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表 4 材料的Johnson-Cook本构模型参数^[41]

Table 4. Johnson-Cook constitutive parameters of materials^[41]

Material A/MPa B/MPa C n m

45 steel 507 320 0.064 0.28 1.06
Oxygen free copper 90 292 0.025 0.31 1.09

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表 5 材料的Johnson-Cook失效模型参数

Table 5. Johnson-Cook failure parameters of materials

Material D₁ D₂ D₃ D₄ D₅

45 steel 0.10 0.76 1.57 0.005 −0.84
Oxygen free copper 0.45 3.44 −2.12 0.002 1.09

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表 6 TNT的JWL状态方程参数^[42]

Table 6. Parameters of JWL equation of state of TNT^[42]

A_TNT/GPa B_TNT/GPa R₁ R₂ ω E/(GJ·m⁻³) p_CJ/GPa ρ/(g·cm⁻³) D/(km·s⁻¹)

371.2 3.231 4.51 0.95 0.3 7.0 21 1.63 6.93

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Component	Internal diameter/mm	Outer diameter/mm	Length/mm	Thickness/mm
Copper stopper	11	15	67	2
Specimen	15	21	67	3
Copper driver	21	25	67	2
Explosive	25	73		24

Material	A/MPa	B/MPa	C	n	m
45 steel	507	320	0.064	0.28	1.06
Oxygen free copper	90	292	0.025	0.31	1.09

Material	D₁	D₂	D₃	D₄	D₅
45 steel	0.10	0.76	1.57	0.005	−0.84
Oxygen free copper	0.45	3.44	−2.12	0.002	1.09

A_TNT/GPa	B_TNT/GPa	R₁	R₂	ω	E/(GJ·m⁻³)	p_CJ/GPa	ρ/(g·cm⁻³)	D/(km·s⁻¹)
371.2	3.231	4.51	0.95	0.3	7.0	21	1.63	6.93

C	Si	Mn	S	P	Ni	Cr	Cu	Fe
0.44	0.23	0.56	0.012	0.014	0.04	0.06	0.07	Rest

No.	R_z/μm	R_sm/μm
1	10	471, 235, 157
2	50	471, 235, 157

外部爆炸载荷下表面粗糙度对45钢柱壳剪切带行为的影响

doi: 10.11858/gywlxb.20220506

作者简介: 杨智程（1996－），男，硕士，主要从事冲击动力学研究. E-mail：444356771@qq.com

通讯作者: 刘龙飞（1975－），男，博士，教授，主要从事冲击动力学研究. E-mail：lfliu1@hnust.cn

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Effect of Surface Roughness on Shear Band Behavior of 45 Steel Cylindrical Shell under External Explosion Load

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作者简介:
杨智程（1996－），男，硕士，主要从事冲击动力学研究. E-mail：444356771@qq.com

通讯作者:
刘龙飞（1975－），男，博士，教授，主要从事冲击动力学研究. E-mail：lfliu1@hnust.cn