HE Qiang, WANG Yonghui, SHI Xiaona, GU Hang, CHEN Yu. Energy absorption of new thin-walled, multi-cellular, tubular structures with Sierpinski hierarchical characteristics under axial impact[J]. Explosion And Shock Waves, 2020, 40(12): 123101. doi: 10.11883/bzycj-2020-0055
Citation:
Liu Mingtao, Li Yongchi, Hu Xiuzhang, Zhang Jie. The numerical stability of the constitutive calculation on viscoplastic materials[J]. Explosion And Shock Waves, 2017, 37(5): 969-975. doi: 10.11883/1001-1455(2017)05-0969-07
HE Qiang, WANG Yonghui, SHI Xiaona, GU Hang, CHEN Yu. Energy absorption of new thin-walled, multi-cellular, tubular structures with Sierpinski hierarchical characteristics under axial impact[J]. Explosion And Shock Waves, 2020, 40(12): 123101. doi: 10.11883/bzycj-2020-0055
Citation:
Liu Mingtao, Li Yongchi, Hu Xiuzhang, Zhang Jie. The numerical stability of the constitutive calculation on viscoplastic materials[J]. Explosion And Shock Waves, 2017, 37(5): 969-975. doi: 10.11883/1001-1455(2017)05-0969-07
At first, we analyzed the numerical stability of the explicit exact algorithm developed for the viscoplastic material, and then found that the explicit exact algorithm is not absolutely stable, deduced a necessary criterion that the time step should be kept below a certain value to guarantee the constitutive calculation stability. A series of numerical examples were presented to validate the reliability of the present stability analysis on the explicit exact algorithm. The results of the numerical examples show that the effective stress is unstable while the stability criterion for the constitutive calculation is not satisfied, but a complex deformation process including the elastic load, the plastic load, the elastic unload, the reverse elastic load and the reverse plastic load is accurately described while the stability criterion is satisfied. Further numerical results indicate that the stability criterion can accurately predict the relationships between the maximum time step and each parameter.
Drucker D C. A more fundamental approach to plastic stress-strain relations[M]. Division of Applied Mathematics, Brown University, 1951.
[2]
Drucker D C, Prager W, Greenberg H J. Extended limit design theorems for continuous media[J]. Quarterly of Applied Mathematics, 1952, 9(4):381-389. doi: 10.1090/qam/1952-09-04
[3]
Palmer A C, Maier G, Drucker D C. Convexity of yield surfaces and normality relations for unstable materials or structural elements[J]. Journal of Applied Mechanics, 1967, 34(2):464-470. doi: 10.1115/1.3607706
Li Yongchi, Tang Zhijing, Hu Xiuzhang. Further study on the drucker postulate and plastic constitutive relations[J]. Journal of China University of Science and Technology, 1988, 18(3):339-345. http://www.cnki.com.cn/Article/CJFDTotal-ZKJD198803006.htm
[5]
Hageman L J, Walsh J M. Help, a multi-material Eulerian program for compressible fluid and elastic-plastic flows in two space dimensions and time. Volume 1: AD0726459[R]. Systems Science and Software, La Jolla, California, 1971.
[6]
Autodyn theory manual revision 4.3[R]. Century Dynamics Limited, Management Consulting Services, Horsham, United Kingdom, 2000.
[7]
Hallquist J O. LS-DYNA theory manual[M]. Livermore: Livermore Software Technology Corporation, 2006.
Li Yongchi, Tan Fuli, Yao Lei, et al. Thermo-viscoplastic constitutive relation of damaged materials with application[J]. Explosion and Shock Waves, 2004, 24(4):289-298. doi: 10.3321/j.issn:1001-1455.2004.04.001
HE Qiang, WANG Yonghui, SHI Xiaona, GU Hang, CHEN Yu. Energy absorption of new thin-walled, multi-cellular, tubular structures with Sierpinski hierarchical characteristics under axial impact[J]. Explosion And Shock Waves, 2020, 40(12): 123101. doi: 10.11883/bzycj-2020-0055
HE Qiang, WANG Yonghui, SHI Xiaona, GU Hang, CHEN Yu. Energy absorption of new thin-walled, multi-cellular, tubular structures with Sierpinski hierarchical characteristics under axial impact[J]. Explosion And Shock Waves, 2020, 40(12): 123101. doi: 10.11883/bzycj-2020-0055
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