Reformulation of dynamic crack propagation using the numerical manifold method
文献类型：期刊论文
| 作者 | Zheng, Hong; Yang, Yongtao; Shi, Genhua |
| 刊名 | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
 |
| 出版日期 | 2019 |
| 卷号 | 105期号:-页码:279-295 |
| 关键词 | Dynamic crack propagation Transfer issue of degrees of freedom Numerical manifold method Frictional contact |
| ISSN号 | 0955-7997 |
| DOI | 10.1016/j.enganabound.2019.04.023 |
| 英文摘要 | Since the advent of finite element methods, the dynamic response analysis of solids and structures follows such a route without exception. Firstly the spatial discretization is carried out and the system of second order ordinary differential equations with the degrees of freedom as the unknown functions of time is derived, which is called the semi-discrete scheme. Then the temporal discretization is performed to the system of ordinary differential equations and the system of algebraic equations, referred to as the fully-discrete scheme, is obtained. This route has been working well for most problems, where, the meshes deform continuously and, in all the time steps, all the degrees of freedom are valid and the number of them keeps invariant. In the simulation of crack propagation, however, even the number of degrees of freedom varies with crack propagation and those degrees of freedom associated with crack tips become meaningless after the crack tips move away. While this causes no difficulties in linear static solutions, it is not readily handled in time-dependent solutions, leading to the transfer issue of degrees of freedom. Opposite to the conventional order of discretization, in this study the temporal discretization is put prior to the spatial discretization. In this way, all the degrees of freedom are valid only within the current time step. The transfer issue of degrees of freedom is accordingly resolved elegantly. The implementation of the proposed procedure is in the framework of the numerical manifold method, illustrated by some typical examples, where compressed and sheared cracks are involved with frictional contact. |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000471733800024 |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/14936]  |
| 专题 | 岩土力学所知识全产出_期刊论文 国家重点实验室知识产出_期刊论文 |
| 作者单位 | 1.Chinese Acad Sci, State Key Lab Geomech & Geotech Engn, Inst Rock & Soil Mech, Wuhan 430071, Peoples R China; 2.Univ Chinese Acad Sci, Coll Engn & Informat Technol, Beijing 100120, Peoples R China 3.Beijing Univ Technol, Minist Educ, Key Lab Urban Secur & Disaster Engn, Beijing 100124, Peoples R China; |
| 推荐引用方式 GB/T 7714 | Zheng, Hong,Yang, Yongtao,Shi, Genhua. Reformulation of dynamic crack propagation using the numerical manifold method[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2019,105(-):279-295. |
| APA | Zheng, Hong,Yang, Yongtao,&Shi, Genhua.(2019).Reformulation of dynamic crack propagation using the numerical manifold method.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,105(-),279-295. |
| MLA | Zheng, Hong,et al."Reformulation of dynamic crack propagation using the numerical manifold method".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 105.-(2019):279-295. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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