A dislocation-based solution for stress introduced by arbitrary volume expansion in cylinders
Wen JC(温济慈)1,2; Wei YJ(魏宇杰)1,2
刊名MATHEMATICS AND MECHANICS OF SOLIDS
2019-03-01
卷号24期号:3页码:598-615
关键词Volume expansion shrinkage infinitesimal dislocation stress lithiation delithiation nitriding
ISSN号1081-2865
DOI10.1177/1081286517751287
通讯作者Wei, Yujie(yujie_wei@lnm.imech.ac.cn)
英文摘要A cylindrical structure undergoing volume expansion and contraction is common in engineering practice. For example, the charging (discharging) process of axisymmetrical batteries will give rise to volume expansion (shrinkage). The nitriding process of axles for better fatigue performance also introduces volume expansion. Here, by taking the equivalence of volume expansion (or shrinkage) as continuous insertion (or distraction) of infinitesimal dislocations, we supply a framework to solve the stress field of a cylinder with arbitrary insertion (distraction) profile of materials along the radial direction. Under the assumptions that the volume expansion profile along the axis of a cylinder is uniform and the deformation is small so that the current configuration is regarded as the original, we supply analytical solutions of stress fields to several typical volume expansion or shrinkage profiles. Our analysis shows that different volume variation gives rise to either high tensile stress in the surface or hydrostatic tension in the core, and supplies distinct failure mechanisms in cylindrical batteries.
分类号二类/Q1
资助项目National Natural Science Foundation of China[11425211]
WOS关键词INTERCALATION-INDUCED STRESS ; DIFFUSION-INDUCED STRESS ; LITHIUM-ION BATTERIES ; CORE-SHELL NANOWIRES ; SILICON ; ELECTRODE ; FRACTURE ; GENERATION ; MECHANISM ; ANODES
WOS研究方向Materials Science ; Mathematics ; Mechanics
语种英语
WOS记录号WOS:000463620600005
资助机构National Natural Science Foundation of China
其他责任者Wei, Yujie
内容类型期刊论文
源URL[http://dspace.imech.ac.cn/handle/311007/78747]  
专题力学研究所_非线性力学国家重点实验室
作者单位1.Univ Chinese Acad Sci, Sch Engn Sci, Beijing, Peoples R China
2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China;
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Wen JC,Wei YJ. A dislocation-based solution for stress introduced by arbitrary volume expansion in cylinders[J]. MATHEMATICS AND MECHANICS OF SOLIDS,2019,24(3):598-615.
APA 温济慈,&魏宇杰.(2019).A dislocation-based solution for stress introduced by arbitrary volume expansion in cylinders.MATHEMATICS AND MECHANICS OF SOLIDS,24(3),598-615.
MLA 温济慈,et al."A dislocation-based solution for stress introduced by arbitrary volume expansion in cylinders".MATHEMATICS AND MECHANICS OF SOLIDS 24.3(2019):598-615.
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