Rotation errors in numerical manifold method and a correction based on large deformation theory

作     者：Ning ZHANG Xu LI Qinghui JIANG Xingchao LIN 

作者机构：School of Civil EngineeringBeijing Jiaotong UniversityBeijing 100044China Key Laboratory of Urban Underground Engineering of Ministry of EducationBeijing Jiaotong UniversityBeijing 100044China School of Civil and Architectural EngineeringWuhan UniversityWuhan 430072China State Key Laboratory of Simulation and Regulation of Water Cycle in River BasinBeijing 100038China 

出 版 物：《Frontiers of Structural and Civil Engineering》 (结构与土木工程前沿（英文版）)

年 卷 期：2019年第13卷第5期

页      面：1036-1053页

核心收录：

学科分类：1305[艺术学-设计学（可授艺术学、工学学位）] 08[工学] 0813[工学-建筑学] 0814[工学-土木工程] 

基　　金：This research was supported by the National Natural Science Foundation of China (Grant Nos. 51479001, 41471052) the IWHR Research & Development Support Program (GE0145B462017,GE0145B692017). 

主　　题：numerical manifold method rotation large deformation Green strain open-close iteration 

摘      要：Numerical manifold method (NMM) is an effective method for simulating block system, however, significant errors are found in its simulation of rotation problems. Three kinds of errors, as volume expansion, stress vibration, and attenuation of angular velocity, were observed in the original NMM. The first two kind errors are owing to the small deformation assumption and the last one is due to the numerical damping. A large deformation NMM is proposed based on large deformation theory. In this method, the governing equation is derived using Green strain, the large deformation iteration and the open-close iteration are combined, and an updating strategy is proposed. The proposed method is used to analyze block rotation, beam bending, and rock falling problems and the results prove that all three kinds of errors are eliminated in this method.