Line strain representation and shear strain representation of 3D strain states
文献类型:期刊论文
作者 | Li, Shunqun5,6; Cheng, Xuelei3,4; Fu, Jianbao2; Pan, Lin1; Hai, Ran4 |
刊名 | PLOS ONE
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出版日期 | 2021-11-18 |
卷号 | 16期号:11页码:14 |
ISSN号 | 1932-6203 |
DOI | 10.1371/journal.pone.0259655 |
英文摘要 | The strain state in 3D space is usually expressed by the conventional method of combining three linear and shear strains. Due to the obvious differences between the first two strains, it is necessary to uncover their properties when describing deformation, studying yield and failure, and developing test apparatus or equipment. The difficulties encountered in the above work would be greatly simplified if strain states could be expressed in a single strain form, namely including only linear or shear strains. As a start, this paper explores the meaning and nature of strain states. Then, based on the hypothesis of small deformations, two strain state expressions, the linear strain expression method (LSEM) and shear strain expression method (SSEM), were established for incompressible materials with only linear strain and shear strain as parameters respectively. Furthermore, conditions, implementation steps and specific forms for the application of SSEM in 1D, 2D and 3D strain states are obtained. As an example, two representations based on tetragonal pyramid and rotating tetrahedron are especially given. Therefore, conventional strain representation methods can be expressed as a combination of line strains in a certain direction or a combination of characteristic shear strains. The results of this paper provide a new way for understanding deformation characteristics, revealing yielding process, establishing constitutive models, and developing testing apparatus or equipment. |
资助项目 | National Natural Science Foundation of China[41877251] ; Open Research Fund of StateKey Laboratory of Geomechanics and Geotechnical Engineering[Z013002] ; Special Fund for Basic Scientific Research and Young Backbone Teachers of Zhongyuan University of Technology[K2020QN015] ; Special Fund for Basic Scientific Research and Young Backbone Teachers of Zhongyuan University of Technology[2020XQG14] |
WOS研究方向 | Science & Technology - Other Topics |
语种 | 英语 |
WOS记录号 | WOS:000755319200048 |
出版者 | PUBLIC LIBRARY SCIENCE |
源URL | [http://119.78.100.198/handle/2S6PX9GI/34583] ![]() |
专题 | 中科院武汉岩土力学所 |
通讯作者 | Cheng, Xuelei |
作者单位 | 1.Xinxiang Univ, Sch Civil Engn & Architecture, Xinxiang, Henan, Peoples R China 2.Tianjin Port Engn Inst Co Ltd CCCC First Harbor E, Tianjin, Peoples R China 3.Yellow River Inst Hydraul Res, Dept Civil Engn Mech, Zhengzhou, Henan, Peoples R China 4.Zhongyuan Univ Technol, Sch Architecture & Civil Engn, Zhengzhou, Henan, Peoples R China 5.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan, Peoples R China 6.Tianjin Chengjian Univ, Sch Civil Engn, Tianjin, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Shunqun,Cheng, Xuelei,Fu, Jianbao,et al. Line strain representation and shear strain representation of 3D strain states[J]. PLOS ONE,2021,16(11):14. |
APA | Li, Shunqun,Cheng, Xuelei,Fu, Jianbao,Pan, Lin,&Hai, Ran.(2021).Line strain representation and shear strain representation of 3D strain states.PLOS ONE,16(11),14. |
MLA | Li, Shunqun,et al."Line strain representation and shear strain representation of 3D strain states".PLOS ONE 16.11(2021):14. |
入库方式: OAI收割
来源:武汉岩土力学研究所
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