TY - JOUR

T1 - Method for resolving contact indeterminacy in three-dimensional discontinuous deformation analysis

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

Y1 - 2018/10/1

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.

AB - 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.

KW - 3D frictional contact problems

KW - First entrance theory

KW - Indeterminacy

KW - Open-close iteration (OCI)

KW - Singularity

KW - Three-dimensional discontinuous deformation analysis (3D DDA)

UR - http://www.scopus.com/inward/record.url?scp=85050606372&partnerID=8YFLogxK

U2 - 10.1061/(asce)gm.1943-5622.0001259

DO - 10.1061/(asce)gm.1943-5622.0001259

M3 - Article

AN - SCOPUS:85050606372

VL - 18

JO - International Journal of Geomechanics

JF - International Journal of Geomechanics

SN - 1532-3641

IS - 10

M1 - 04018130

ER -