Formulation and Programming of a Dynamic Constitutive Model at High Strain Rates in ABAQUS for the <b>304</b>NG Stainless Steel

LAN Bin; YE Xian-hui; SONG Shun-cheng; WU Wan-jun; WANG Bi-hao

doi:10.3879/j.issn.1000-0887.2015.02.006

Volume 36 Issue 2

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2015 > 36(2): 167-177

LAN Bin, YE Xian-hui, SONG Shun-cheng, WU Wan-jun, WANG Bi-hao. Formulation and Programming of a Dynamic Constitutive Model at High Strain Rates in ABAQUS for the 304NG Stainless Steel[J]. Applied Mathematics and Mechanics, 2015, 36(2): 167-177. doi: 10.3879/j.issn.1000-0887.2015.02.006

Citation:

LAN Bin, YE Xian-hui, SONG Shun-cheng, WU Wan-jun, WANG Bi-hao. Formulation and Programming of a Dynamic Constitutive Model at High Strain Rates in ABAQUS for the 304NG Stainless Steel[J]. Applied Mathematics and Mechanics, 2015, 36(2): 167-177. doi: 10.3879/j.issn.1000-0887.2015.02.006

Citation:

PDF( 1235 KB)

Formulation and Programming of a Dynamic Constitutive Model at High Strain Rates in ABAQUS for the 304NG Stainless Steel

doi: 10.3879/j.issn.1000-0887.2015.02.006

¹Science and Technology on Reactor System Design Technology Laboratory,Chengdu 610041, P.R.China;²School of Mechanics and Engineering, Southwest Jiaotong University,Chengdu 610031, P.R.China

Received Date: 2014-07-23
Rev Recd Date: 2014-12-11
Publish Date: 2015-02-15

Abstract

Abstract

The 304NG stainless steel is commonly used in reactor internal structural members. High strain rate dynamic characteristics of this material have important influences on the structural responses under impact loads. However, there is no suitable constitutive model for the high strain rate dynamic behaviors of this material in existing FEM programs as yet. Based on the dynamic tensile tests of the 304NG stainless steel, a new dynamic constitutive model for it was proposed. With the radial return algorithm and the stable dichotomy iteration method, a UMAT subroutine for the ratedependent model was written into ABAQUS, with the implicit stress update algorithm achieved. Then the dynamic FEM analyses of several examples were performed to verify the UMAT subroutine. The results indicate that the proposed dynamic constitutive model is in good agreement with the test data. The UMAT subroutine is helpful to be applied to response analysis of similar structures under impact loads.
- UMAT,
- high strain rate,
- rate-dependent,
- dynamic constitutive model,
- radial return algorithm

FullText(HTML)

References(18)

References

[1]	GJB1060.1-1991, 舰船环境条件要求: 机械环境[S]. 1991.(GJB1060.1-1991, General requirement for environmental conditions of naval ships mechanical environments[S]. 1991.(in Chinese))
[2]	陈晓宏, 吴衡毅, 黄文, 汪洋, 夏源明. 高温冲击拉伸试验技术[J]. 实验力学, 2003,18(1): 39-44.(CHEN Xiao-hong, WU Heng-yi, HUANG Wen, WANG Yang, XIA Yuan-ming. Experimental technique for high temperature tensile impact[J]. Journal of Experimental Mechanics,2003,18(1): 39-44.(in Chinese))
[3]	尹征南, 王铁军. 不同应变率下PC, ABS和PC/ABS合金拉伸变形行为研究[J]. 应用数学和力学, 2012,33(4): 434-443.(YIN Zheng-nan, WANG Tie-jun. Investigation of tensile deformation behavior of PC, ABS and PC/ABS blends from low to high strain rates[J]. Applied Mathematics and Mechanics,2012,33(4): 434-443.(in Chinese))
[4]	余海东, 郭永进. 基于Khan-Huang模型高强度钢DP600率相关特性实验与本构模型研究[J]. 固体力学学报, 2008,29(2): 200-204.(YU Hai-dong, GUO Yong-jin. Study on the rate-dependent experiment and constitutive model of high strength steel DP600 based on Khan-Huang model[J]. Chinese Journal of Solid Mechanics,2008,29(2): 200-204.(in Chinese))
[5]	关锦清, 文潮, 刘晓新, 唐仕英, 林英睿, 李迅, 周刚. 不锈钢复合板与16MnR钢冲击拉伸力学特性研究[J]. 兵器材料科学与工程, 2010,33(1): 5-8.(GUAN Jin-qing, WEN Chao, LIU Xiao-xin, TANG Shi-ying, LIN Ying-rui, LI Xun, ZHOU Gang. Impact tensile characteristics of stainless steel clad plate and 16MnR steel[J]. Ordnance Material Science and Engineering,2010,33(1): 5-8.(in Chinese))
[6]	柳爱群, 黄西成. 高应变率变形的Johnson-Cook动态本构模型参数识别方法[J]. 应用数学和力学, 2014,35(2): 219-225.(LIU Ai-qun, HUANG Xi-cheng. Identification of high-strain-rate material parameters in dynamic Johnson-Cook constitutive model[J]. Applied Mathematics and Mechanics,2014,35(2): 219-225.(in Chinese))
[7]	韦习成, 谢群, 符仁钰, 李麟. HSLA TRIP钢的动态拉伸行为及其模拟[J]. 材料研究学报, 2006,20(5): 556-560.(WEI Xi-cheng, XIE Qun, FU Ren-yu, LI Ling. The dynamic tensile behavior of HSLA TRIP steel and its modeling[J]. Chinese Journal of Materials Research,2006,20(5): 556-560.(in Chinese))
[8]	Kindrachuk V, Fedelich B. Stress update algorithm for the combined viscoplastic and plastic behaviours of single-crystal superalloys[J]. International Journal for Numerical Methods in Engineering,2011,88(1): 83-102.
[9]	Kim J-H, Lee C-S, Kim M-H, Lee J-M. Prestrain-dependent viscoplastic damage model for austenitic stainless steel and implementation to ABAQUS user-defined material subroutine[J]. Computational Materials Science,2013,67: 273-281.
[10]	WANG Meng, SHI Yong-jiu, WANG Yuan-qing. Equivalent constitutive model of steel with cumulative degradation and damage[J]. Journal of Constructional Steel Research,2012,79: 101-114.
[11]	SHI Yong-jiu, WANG Meng, WANG Yuan-qing. Experimental and constitutive model study of structural steel under cyclic loading[J]. Journal of Constructional Steel Research,2011,67: 1185-1197.
[12]	刘伟先, 周光明, 王新峰. 基于渐进损伤模型的复合材料斜接接头的拉伸强度[J]. 材料科学与工程学报, 2012,30(5): 666-671.(LIU Wei-xian, ZHOU Guang-ming, WANG Xin-feng. Parametric study on the tensile strength of the composites’ scarf joint using progressive damage model[J]. Journal of Materials Science and Engineering,2012,30(5): 666-671.(in Chinese))
[13]	汪品红. 基于Abaqus子程序的高分子材料本构关系实现[J]. 计算机辅助工程, 2013,22(增刊2): 408-410.(WANG Pin-hong. Implementation of polymers constitutive relationship based Abaqus subroutine[J]. Computer Aided Engineering,2013,22(Suppl 2): 408-410.(in Chinese))
[14]	高军, 黄再兴. 基于Anand本构关系的损伤模型及其在ABAQUS中的单元验证[J]. 力学季刊, 2011,32(2): 153-158.(GAO Jun, HUANG Zai-xin. A damage model based on Anand’s constitutive relation and its element level’s verification in ABAQUS[J]. Chinese Quarterly of Mechanics,2011,32(2): 153-158.(in Chinese))
[15]	王仁, 黄文彬, 黄筑平. 塑性力学引论[M]. 北京: 北京大学出版社, 1992.(WANG Ren, HUANG Wen-bin, HUANG Zhu-ping. Introduction of Plastic Mechanics [M]. Beijing: Peking University Press, 1992.(in Chinese))
[16]	Belytschko T, Liu W K, Moran B. Nonlinear Finite Element for Continua and Structures[M]. John Wiley & Sons Ltd, 2000.
[17]	Simo J C, Taylor R L. Consistent tangent operators for rate-independent elastoplasticity[J]. Computer Methods in Applied Mechanics and Engineering,1985,48(1): 101-118.
[18]	Dassault Systémes. Abaqus user subroutines reference manual[K]. 2010.