The numerical stability of the constitutive calculation on viscoplastic materials

Liu Mingtao; Li Yongchi; Hu Xiuzhang; Zhang Jie

doi:10.11883/1001-1455(2017)05-0969-07

Volume 37 Issue 5

Jul. 2017

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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

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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

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The numerical stability of the constitutive calculation on viscoplastic materials

doi: 10.11883/1001-1455(2017)05-0969-07

1.
Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621999, Sichuan, China
2.
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, Anhui, China

Received Date: 2015-06-29
Rev Recd Date: 2015-10-08
Publish Date: 2017-09-25

Abstract

Abstract

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.
- constitutive relation,
- numerical stability,
- viscoplastic constitutive,
- explicit precise algorithm

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References(8)

References

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