The generation of non-ordinary state-based peridynamics by the weak form of the peridynamic method
文献类型：期刊论文
| 作者 | Cui, Hao2,3; Li, Chunguang3; Zheng, Hong1 |
| 刊名 | MATHEMATICS AND MECHANICS OF SOLIDS
 |
| 出版日期 | 2020-03-06 |
| 页码 | 24 |
| 关键词 | Peridynamics crack propagation nodal integration |
| ISSN号 | 1081-2865 |
| DOI | 10.1177/1081286520910221 |
| 英文摘要 | A weak form of the peridynamic (PD) method derived from the classical Galerkin framework by substituting the traditional derivatives into the PD differential operators is proposed. The attractive features of the proposed weak form of PD method include the following: (1) a higher-order approximation than the non-ordinary state-based peridynamic (NOSB-PD) in the strain construction; (2) the NOSB-PD is demonstrated as a special case of the weak form of the PD method; (3) as an extension of the NOSB-PD, the zero-energy mode oscillations in the weak form of the PD can be significantly reduced by introducing higher-order PD derivatives. In addition, a series of numerical tests are conducted. The results show the following: (1) the three proposed stabilization items containing higher-order PD derivatives have a better accuracy and stability than the traditional items of the NOSB-PD. In particular, the stress point stabilization item is preferred since it has the highest accuracy and efficiency and does not introduce any additional parameters; (2) the weak form of PD method is very suitable in dealing with the crack propagation and bifurcation problems. |
| WOS研究方向 | Materials Science ; Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000523795500001 |
| 出版者 | SAGE PUBLICATIONS LTD |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/23738]  |
| 专题 | 中科院武汉岩土力学所 |
| 通讯作者 | Li, Chunguang |
| 作者单位 | 1.Beijing Univ Technol, Minist Educ, Key Lab Urban Secur & Disaster Engn, Beijing, Peoples R China 2.Univ Chinese Acad Sci, Dept Engn Sci, Beijing, Peoples R China 3.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cui, Hao,Li, Chunguang,Zheng, Hong. The generation of non-ordinary state-based peridynamics by the weak form of the peridynamic method[J]. MATHEMATICS AND MECHANICS OF SOLIDS,2020:24. |
| APA | Cui, Hao,Li, Chunguang,&Zheng, Hong.(2020).The generation of non-ordinary state-based peridynamics by the weak form of the peridynamic method.MATHEMATICS AND MECHANICS OF SOLIDS,24. |
| MLA | Cui, Hao,et al."The generation of non-ordinary state-based peridynamics by the weak form of the peridynamic method".MATHEMATICS AND MECHANICS OF SOLIDS (2020):24. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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