Modified cutting-plane integration scheme for elasto-viscoplastic models

LI Jian; CAI Guo-qing; YIN Zhen-yu

doi:10.11779/CJGE202002006

Volume 42 Issue 2

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Chinese Journal of Geotechnical Engineering > 2020 > 42(2): 253-259. > DOI: 10.11779/CJGE202002006

LI Jian, CAI Guo-qing, YIN Zhen-yu. Modified cutting-plane integration scheme for elasto-viscoplastic models[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(2): 253-259. DOI: 10.11779/CJGE202002006

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Modified cutting-plane integration scheme for elasto-viscoplastic models

LI Jian^{1, 2,},
CAI Guo-qing^{1, 2},
YIN Zhen-yu^3, ,

1.
Key Laboratory of Urban Underground Engineering of Ministry of Education, Beijing Jiaotong University, Beijing 100044, China
2.
School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China
3.
Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hong Kong, China

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Received Date: July 06, 2019
Available Online: December 07, 2022

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Abstract

Abstract

The elasto-viscoplastic model can be regarded as a combination of the modified Cam-clay model and the overstress theory. Firstly, the stress-strain formulas for the model are rearranged, in which an evolution equation for the hardening parameter of dynamic loading surface is deduced based on the overstress theory. Secondly, the rearranged stress-strain formulas are numerically implemented by the cutting-plane integration scheme. In an elastic prediction process, the viscoplastic strain rate is assumed to be constant, which guarantees the deviation of the current stress state from dynamic loading surface due to time increments. In a plastic corrector process, a Taylor series approximation of the dynamic loading function is used to obtain the increment of viscoplastic multiplier rate. Thirdly, an adaptive substepping method is proposed to maintain the accuracy and convergence of the proposed algorithm at a large loading step. Finally, the performances of the modified cutting-plane algorithm are analyzed by the calculated results of step-changed oedometer tests and undrained triaxial tests.
- viscoplasticity,
- constitutive model,
- cutting-plane algorithm,
- semi-implicit scheme,
- numerical integration

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References (21)

References

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