Method for resolving contact indeterminacy in three-dimensional discontinuous deformation analysis

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Hong Zhang
  • Shu Guang Liu
  • Lu Zheng
  • Hehua Zhu
  • Xiaoying Zhuang
  • Ying Bin Zhang
  • Yan Qiang Wu

External Research Organisations

  • Tongji University
  • Fuzhou University
  • Hong Kong Polytechnic University
  • Southwest Jiaotong University
  • French Alternative Energies and Atomic Energy Commission (CEA)
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Details

Original languageEnglish
Article number04018130
JournalInternational Journal of Geomechanics
Volume18
Issue number10
Publication statusPublished - 1 Oct 2018
Externally publishedYes

Abstract

Because of the nonlinearity nature of contacts, real contact information in discontinuous computation is unknown before analysis. In standard three-dimensional (3D) discontinuous deformation analysis (3D DDA), the indeterminacies of the contacts arise from two aspects: the singular block boundaries and the nonsmooth frictional behavior. Because the contact occurs only at the first entrance position, the first entrance theory is the general physical law of block contacts. Therefore, the first entrance approach is proposed in this study to select the first entrance plane and to evaluate the related first entrance points, along which the contact forces would be applied. Furthermore, the procedure and criteria of the open-close iteration (OCI) for the 3D frictional contact problem is presented to determine the most suitable status and force of each contact. With this rigorous method, the information of each contact can be determined, such that the two kinds of the contact indeterminacies are resolved. The effectiveness of the proposed method is verified by three numerical tests, suggesting that the proposed method works at a practical level in accuracy and robustness.

Keywords

    3D frictional contact problems, First entrance theory, Indeterminacy, Open-close iteration (OCI), Singularity, Three-dimensional discontinuous deformation analysis (3D DDA)

ASJC Scopus subject areas

Cite this

Method for resolving contact indeterminacy in three-dimensional discontinuous deformation analysis. / Zhang, Hong; Liu, Shu Guang; Zheng, Lu et al.
In: International Journal of Geomechanics, Vol. 18, No. 10, 04018130, 01.10.2018.

Research output: Contribution to journalArticleResearchpeer review

Zhang H, Liu SG, Zheng L, Zhu H, Zhuang X, Zhang YB et al. Method for resolving contact indeterminacy in three-dimensional discontinuous deformation analysis. International Journal of Geomechanics. 2018 Oct 1;18(10):04018130. doi: 10.1061/(asce)gm.1943-5622.0001259
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title = "Method for resolving contact indeterminacy in three-dimensional discontinuous deformation analysis",
abstract = "Because of the nonlinearity nature of contacts, real contact information in discontinuous computation is unknown before analysis. In standard three-dimensional (3D) discontinuous deformation analysis (3D DDA), the indeterminacies of the contacts arise from two aspects: the singular block boundaries and the nonsmooth frictional behavior. Because the contact occurs only at the first entrance position, the first entrance theory is the general physical law of block contacts. Therefore, the first entrance approach is proposed in this study to select the first entrance plane and to evaluate the related first entrance points, along which the contact forces would be applied. Furthermore, the procedure and criteria of the open-close iteration (OCI) for the 3D frictional contact problem is presented to determine the most suitable status and force of each contact. With this rigorous method, the information of each contact can be determined, such that the two kinds of the contact indeterminacies are resolved. The effectiveness of the proposed method is verified by three numerical tests, suggesting that the proposed method works at a practical level in accuracy and robustness.",
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AU - Zhang, Hong

AU - Liu, Shu Guang

AU - Zheng, Lu

AU - Zhu, Hehua

AU - Zhuang, Xiaoying

AU - Zhang, Ying Bin

AU - Wu, Yan Qiang

N1 - Funding information: This study was sponsored by the National Natural Science Foundation of China (Grant 51708420), the Shanghai Pujiang Program (Grant 17PJ1409100), the Natural Science Foundation of Shanghai (Grant 17ZR1432300), the Fundamental Research Funds for the Central Universities (Grant 2016KJ024), and the Shanghai Peak Discipline Program for Higher Education Institutions (Class I)-Civil Engineering. Thanks are due to Dr. Nan-sheng Li, Dr. Wei Wang, and Dr. Wei Wu for assistance with development of code and modification of figures to this paper

PY - 2018/10/1

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N2 - Because of the nonlinearity nature of contacts, real contact information in discontinuous computation is unknown before analysis. In standard three-dimensional (3D) discontinuous deformation analysis (3D DDA), the indeterminacies of the contacts arise from two aspects: the singular block boundaries and the nonsmooth frictional behavior. Because the contact occurs only at the first entrance position, the first entrance theory is the general physical law of block contacts. Therefore, the first entrance approach is proposed in this study to select the first entrance plane and to evaluate the related first entrance points, along which the contact forces would be applied. Furthermore, the procedure and criteria of the open-close iteration (OCI) for the 3D frictional contact problem is presented to determine the most suitable status and force of each contact. With this rigorous method, the information of each contact can be determined, such that the two kinds of the contact indeterminacies are resolved. The effectiveness of the proposed method is verified by three numerical tests, suggesting that the proposed method works at a practical level in accuracy and robustness.

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