Q235B钢动态本构及在LS-DYNA中的应用

支旭东; 张荣; 林莉; 范峰

doi:10.11883/bzycj-2016-0286

Q235B钢动态本构及在LS-DYNA中的应用

doi: 10.11883/bzycj-2016-0286

支旭东^{1, 2},
张荣^2, ,,
林莉³,
范峰^{1, 2}

1.
哈尔滨工业大学结构工程灾变与控制教育部重点实验室, 黑龙江哈尔滨 150090
2.
哈尔滨工业大学土木工程学院, 黑龙江哈尔滨 150090
3.
哈尔滨理工大学建筑工程学院土木工程系, 黑龙江哈尔滨 150080

基金项目:

国家自然基金面上项目 51478144

国家杰出青年科学基金项目 51525802

详细信息

作者简介:
支旭东(1977-), 男, 博士, 博导

通讯作者:
张荣, zhangrong6636747@163.com

中图分类号: O347.3
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- 被引次数: 0
出版历程
- 收稿日期: 2016-09-20
- 修回日期: 2017-02-14
- 刊出日期: 2018-05-25

Dynamic constitutive model of Q235B steel and its application in LS-DYNA

ZHI Xudong^{1, 2},
ZHANG Rong^{2
, ,},
LIN Li³,
FAN Feng^{1, 2}

1.
Key Lab of Structures Dynamic Behavior and Control, Ministry of Education, Harbin Institute of Technology, Harbin 150090, Heilongjiang, China
2.
School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, Heilongjiang, China
3.
College of Civil Engineering and Architecture, Harbin University of Science and Technology, Harbin 150080, Heilongjiang, China

摘要

摘要: 采用万能材料试验机和分离式霍普金森拉杆（SHTB）装置，对我国钢结构建筑中最常用的Q235B钢进行准静态拉伸实验、高温拉伸实验和动态拉伸实验。基于实验数据对LS-DYNA常用的3种动态材料模型Cowper-Symonds本构模型、Johnson-Cook本构模型、Zerilli-Armstrong本构模型进行了拟合，通过Taylor杆实验对3种本构模型进行验证和对比分析。结果表明：Q235B钢具有较为明显的高温软化和应变率强化效应；Cowper-Symonds本构模型可以较好地适用于工程领域低速碰撞的模拟；Johnson-Cook本构模型可适用于较大应变率范围内的模拟；不推荐Zerilli-Armstrong本构模型在工程低速碰撞领域中使用。
- 动态本构模型 /
- Q235B钢 /
- 应变率效应 /
- Taylor杆
Abstract: In this work we conducted a quasi-static tensile test, a high temperature tensile test and a dynamic tensile test on Q235B steel, the most widely used in steel structures in China, using a multi-functional material testing machine and a split Hopkinson tension bar (SHTB) and, based on the test data obtained, fitted three frequently used material models, i.e. the Cowper-Symonds model, the Johnson-Cook model and the Zerilli-Armstrong model, in LS-DYNA. We then verified their validity by conducting Taylor impact tests. The results showed that Q235B steel was temperature and strain-rate sensitive, that the Cowper-Symonds model was applicable in low velocity impact simulations, that the Johnson-Cook model was suitable for simulations with a wider range of strain-rates, and that the Zerilli-Armstrong model was not recommendable for low velocity impact simulation.
- dynamic constitutive model /
- Q235B steel /
- strain-rate effect /
- Taylor bar

HTML全文

图 1 试件形状和尺寸(单位：mm)

Figure 1. Geometry and dimensions of specimens(unit: mm)

下载: 全尺寸图片幻灯片

图 2 不同工况下拉伸原试件及破坏后试件

Figure 2. Original and fractured conditions of specimens

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图 3 不同应变率下Q235B钢的真实应力应变曲线

Figure 3. True stress-true strain curves of Q235B steel at different strain-rates

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图 4 不同温度下Q235B钢的拉伸实验真实应力应变曲线

Figure 4. True stress-true strain curves of Q235B steel at different temperatures

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图 5 3种本构方程拟合结果

Figure 5. Fitted results of three constitutive functions

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图 6 Taylor杆实验与数值模拟形态对比

Figure 6. Appearances as compared between simulationand Taylor test results

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图 7 子弹应变率随速度变化曲线

Figure 7. Strain-rate curves of projectile at different impact velocity

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图 8 试件尺寸说明

Figure 8. Dimensions of specimens

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表 1 Taylor杆数值模拟与实验对比

Table 1. Parameters as compared between simulation and Taylor test results

撞击速度v₀/(m·s^-1)	Taylor杆实验			数值模拟				误差/%
撞击速度v₀/(m·s^-1)	L_F/mm	D_F/mm	变形模式	本构模型	L_F/mm	D_F/mm	变形模式	L_F	D_F
				C-S	48.2	15.9	镦粗	-0.8	5.3
122.0	47.8	16.8	镦粗	J-C	48.3	15.0	镦粗	-1.0	10.7
				Z-A	48.8	14.9	镦粗	-2.0	11.3
				C-S	47.4	15.8	镦粗	-1.2	4.8
153.5	46.8	16.6	镦粗	J-C	47.5	15.7	镦粗	-1.5	5.4
				Z-A	47.9	15.2	镦粗	-2.3	8.4
				C-S	45.1	17.4	镦粗	-4.6	13.0
225.0	43.1	20.0	镦粗	J-C	44.8	18.4	开裂	-3.9	8.0
				Z-A	45.3	17.2	镦粗	-5.1	14.0
				C-S	43.4	19.6	开裂	-2.1	12.1
242.5	42.7	22.3	开裂	J-C	43.5	20.9	开裂	-1.9	6.3
				Z-A	43.3	19.9	开裂	-1.4	10.8
				C-S	40.3	23.1	开裂	-7.9	11.4
279.0	38.9	26.1	开裂	J-C	40.0	24.1	开裂	-2.8	7.6
				Z-A	40.4	23.6	开裂	-3.8	9.6
				C-S	39.9	23.7	开裂	-3.6	11.5
290.0	38.5	26.8	开裂	J-C	39.2	24.5	开裂	-1.8	8.6
				Z-A	39.3	23.8	开裂	-2.1	11.1

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参考文献(25)

[1]	杨桂通.弹塑性力学引论[M].北京:清华大学出版社, 2013.
[2]	JOHNSON G R, COOK W H. A constitutive model and data for metals subjected to large strains, high strain-rates and high temperatures[C]//Proceedings of the seventh international Symposium on Ballistic. The Hague, 1983: 541-547.
[3]	COWPER G R, SYMONDS P S. Strin hardening and strain rate effect in the impact loading of cantilever beams[J]. Small Business Economics, 1957, 31(3):235-263. http://oai.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=AD0144762
[4]	ZERILLI F J, ARMSTRONG R W. Dislocation-mechanics-based constitutive relations for material dynamics calculations[J]. Journal of Applied Physics, 1987, 61(5):1816-1825. doi: 10.1063/1.338024
[5]	邓高涛, 王焕然, 陈大年.一种钢板材料动态拉伸本构方程确定以及试件尺度效应研究[J].工程力学, 2014, 31(1):236-242. doi: 10.6052/j.issn.1000-4750.2012.09.0669 DENG Gaotao, WANG Huanran, CHEN Danian. Determination of dynamic tensile constitutive for steel sheet material and discussion of effects of specimen scale on experimental results engineering mechanic[J]. Engineering Mechanics, 2014, 31(1):236-242. doi: 10.6052/j.issn.1000-4750.2012.09.0669
[6]	于文静, 史健勇, 赵金城.Q345钢材动态力学性能研究[J].建筑结构, 2011, 41(3):28-30. http://www.docin.com/p-249433150.html YU Wenjing, SHI Jianyong, ZHAO Jincheng. Research of dynamic mechanical behavior of Q345 steel[J]. Building Structure, 2011, 41(3):28-30. http://www.docin.com/p-249433150.html
[7]	林莉, 支旭东, 范锋, 等.Q235B钢Johnson-Cook模型参数的确定[J].振动与冲击, 2014, 33(9):153-158. http://www.docin.com/p-1411276719.html LIN Li, ZHI Xudong, FAN Feng, et al. Determination of parameters of Johnson-Cook models of Q235B steel[J]. Journal of Vibration and Shock, 2014, 33(9):153-158. http://www.docin.com/p-1411276719.html
[8]	李营, 李晓彬, 吴卫国, 等.基于修正CS模型的船用低碳钢动态力学性能研究[J].船舶力学, 2015, 19(8):944-949. http://industry.wanfangdata.com.cn/dl/Detail/Periodical?id=Periodical_cblx201508008 LI Ying, LI Xiaobin, WU Weiguo, et al. Dynamic mechanic behavior of low-carbon steel on improved Cowper-Symonds models[J]. Journal of Ship Mechanics, 2015, 19(8):944-949. http://industry.wanfangdata.com.cn/dl/Detail/Periodical?id=Periodical_cblx201508008
[9]	CHEN Z J, YUAN J H, ZHAO Y. Impact experiment study of ship building steel at 450 MPa level and constitutive model of Cowper-Symonds[J]. Journal of Ship Mechanics, 2007, 11(6):933-940. doi: 10.3184/096034010X12761931945540?scroll=top
[10]	FAN F, WANG D, ZHI X, et al. Failure modes of reticulated domes subjected to impact and the judgment[J]. Thin-Walled Structures, 2010, 48(2):143-149. doi: 10.1016/j.tws.2009.08.005
[11]	杨庆丰, 张荣.基于LS-DYNA圆钢管抗侧向冲击性能分析[J].低温建筑技术, 2014, 36(12):38-41. doi: 10.3969/j.issn.1001-6864.2014.12.014 YANG Qingfeng, ZHANG Rong. Study of the lateral impact of circular steel tubes based on LS-DYNA[J]. Low Temperature Architecture Technology, 2014, 36(12):38-41. doi: 10.3969/j.issn.1001-6864.2014.12.014
[12]	JONES N. Structural impact[M]. Cambridge:Cambridge University Press, 2011.
[13]	蔡恒君, 胡靖帆, 宋仁伯, 等.800 MPa级冷轧双相钢的动态变形行为及本构模型[J].工程科学学报, 2016, 38(2):213-222. http://industry.wanfangdata.com.cn/dl/Detail/Periodical?id=Periodical_bjkjdxxb201602009 CAI Hengjun, HU Jingfan, SONG Renbo, et al. Constitutive model and dynamic deformation behavior of 800 MPa grade cold-rolled dual phase steel[J]. Chinese Journal of Engineering, 2016, 38(2):213-222. http://industry.wanfangdata.com.cn/dl/Detail/Periodical?id=Periodical_bjkjdxxb201602009
[14]	张宏建, 温卫东, 崔海涛, 等.Z-A模型的修正及在预测本构关系中的应用[J].航空动力学报, 2009, 24(6):1311-1315. http://www.cqvip.com/QK/91591X/200906/31774602.html ZHANG Hongjian, WEN Weidong, CUI Haitao, et al. Modification of Z-A model and the prediction of the constitutive model[J]. Journal of Aerospace Power, 2009, 24(6):1311-1315. http://www.cqvip.com/QK/91591X/200906/31774602.html
[15]	彭建祥. 钽的本构关系研究[D]. 四川绵阳: 中国工程物理研究院, 2001.
[16]	马晓青.冲击动力学[M].北京:北京理工大学出版社, 1992.
[17]	MEYERS M A. Dynamic behavior of materials[M]. New Jersey:John Wiley & Sons. Inc., 1994.
[18]	HALLQUIST J O. LS-Dyna theory manual[Z]. Michigan: LSTC, 2006.
[19]	肖新科. 双层金属靶的抗侵彻性能和Taylor杆的变形与断裂[D]. 哈尔滨: 哈尔滨工业大学, 2010.
[20]	陈大年, 王焕然, 陈建平, 等.高加载率SHPB试验分析原理的再研究[J].工程力学, 2005, 22(1):82-87. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gclx200501015 CHEN Danian, WANG Huanran, CHEN Jianping, et al. Re-examination of split Hopkinson pressure bar analyses at high loading rate[J]. Engineering Mechanics, 2005, 22(1):82-87. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gclx200501015
[21]	CHEN Danian, FAN Chunlei, XIE Shugang, et al. Study on constitutive relations and spall models for OFHC copper under planar shock tests[J]. Journal of Applied Physics, 2007, 101(6):063532-1-9. doi: 10.1063/1.2711405
[22]	TAYLOR G I. The use of flat ended projectiles for determining yield stress I:theoretical considerations[J]. Proceedings of Royal Society of London:A, 1948, 194:289-299. doi: 10.1098/rspa.1948.0081
[23]	RAKVAG K G, BORVIK T, WESTERMANN I, et al. An experimental study on the deformation and fracture modes of steel projectiles during impact[J]. Materials & Design, 2013, 51(5):242-256. https://www.sciencedirect.com/science/article/pii/S0261306913003592
[24]	WOODWARD R L, BURMAN N M, BAXTER B J. An experimental and analytical study of the taylor impact test[J]. International Journal of Impact Engineering, 1994, 15(4):407-416. doi: 10.1016/0734-743X(94)80025-5
[25]	JOSEPH C F, MARTIN G, WILSON L L. The use of the Taylor test in exploring and validating the large-strain, high strain-rate constitutive response of materials[C]//Furnish M D. Shock Compression of Condensed Matter-2001. American Institute of Physics, 2002: 1318-1322.