The numerical stability of the constitutive calculation on viscoplastic materials

被引：0
|
作者：
Liu M. [1 ,2 ]
Li Y. [2 ]
Hu X. [2 ]
Zhang J. [2 ]
机构：
[1] Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang, 621999, Sichuan
[2] Department of Modern Mechanics, University of Science and Technology of China, Hefei, 230027, Anhui
来源：
Baozha Yu Chongji/Explosion and Shock Waves | 2017年 / 37卷 / 05期
关键词：
Constitutive relation; Explicit precise algorithm; Numerical stability; Viscoplastic constitutive;
D O I：
10.11883/1001-1455(2017)05-0969-07
中图分类号：
学科分类号：
摘要：
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. © 2017, Editorial Board of EXPLOSION AND SHOCK WAVES. All right reserved.
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页码：969 / 975
页数：6
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