IMECH-IR  > 非线性力学国家重点实验室
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
Corresponding AuthorWei, Yujie(yujie_wei@lnm.imech.ac.cn)
Source PublicationMATHEMATICS AND MECHANICS OF SOLIDS
2019-03-01
Volume24Issue:3Pages:598-615
ISSN1081-2865
AbstractA 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.
KeywordVolume expansion shrinkage infinitesimal dislocation stress lithiation delithiation nitriding
DOI10.1177/1081286517751287
Indexed BySCI ; EI
Language英语
WOS IDWOS:000463620600005
WOS KeywordINTERCALATION-INDUCED STRESS ; DIFFUSION-INDUCED STRESS ; LITHIUM-ION BATTERIES ; CORE-SHELL NANOWIRES ; SILICON ; ELECTRODE ; FRACTURE ; GENERATION ; MECHANISM ; ANODES
WOS Research AreaMaterials Science ; Mathematics ; Mechanics
WOS SubjectMaterials Science, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
Funding ProjectNational Natural Science Foundation of China[11425211]
Funding OrganizationNational Natural Science Foundation of China
Classification二类/Q1
Ranking1
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/78748
Collection非线性力学国家重点实验室
Affiliation1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China;
2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing, Peoples R China
Recommended Citation
GB/T 7714
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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