文献类型：期刊文献

英文题名：Line strain representation and shear strain representation of 3D strain states

作者：Li, Shunqun[1,2];Cheng, Xuelei[3,4];Fu, Jianbao[5];Pan, Lin[6];Hai, Ran[3]

第一作者：Li, Shunqun

通讯作者：Cheng, XL[1];Cheng, XL[2]

机构：[1]Tianjin Chengjian Univ, Sch Civil Engn, Tianjin, Peoples R China;[2]Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan, Peoples R China;[3]Zhongyuan Univ Technol, Sch Architecture & Civil Engn, Zhengzhou, Henan, Peoples R China;[4]Yellow River Inst Hydraul Res, Dept Civil Engn Mech, Zhengzhou, Henan, Peoples R China;[5]Tianjin Port Engn Inst Co Ltd CCCC First Harbor E, Tianjin, Peoples R China;[6]Xinxiang Univ, Sch Civil Engn & Architecture, Xinxiang, Henan, Peoples R China

第一机构：Tianjin Chengjian Univ, Sch Civil Engn, Tianjin, Peoples R China

通讯机构：[1]corresponding author), Zhongyuan Univ Technol, Sch Architecture & Civil Engn, Zhengzhou, Henan, Peoples R China;[2]corresponding author), Yellow River Inst Hydraul Res, Dept Civil Engn Mech, Zhengzhou, Henan, Peoples R China.

年份：2021

卷号：16

期号：11

外文期刊名：PLOS ONE

收录：;Scopus(收录号：2-s2.0-85119593459);WOS:【SCI-EXPANDED(收录号:WOS:000755319200048)】；

基金：This research was supported by the National Natural Science Foundation of China (41877251) and the Open Research Fund of StateKey Laboratory of Geomechanics and Geotechnical Engineering (Z013002) through grants awarded to SL. The study also received funding from the Special Fund for Basic Scientific Research and Young Backbone Teachers of Zhongyuan University of Technology through grants awarded to XC (K2020QN015, 2020XQG14).

语种：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.