| 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
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| Corresponding Author | Wei, Yujie([email protected]) |
| Source Publication | MATHEMATICS AND MECHANICS OF SOLIDS
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| 2019-03-01 | |
| Volume | 24Issue:3Pages:598-615 |
| ISSN | 1081-2865 |
| Abstract | 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. |
| Keyword | Volume expansion shrinkage infinitesimal dislocation stress lithiation delithiation nitriding |
| DOI | 10.1177/1081286517751287 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000463620600005 |
| WOS Keyword | INTERCALATION-INDUCED STRESS ; DIFFUSION-INDUCED STRESS ; LITHIUM-ION BATTERIES ; CORE-SHELL NANOWIRES ; SILICON ; ELECTRODE ; FRACTURE ; GENERATION ; MECHANISM ; ANODES |
| WOS Research Area | Materials Science ; Mathematics ; Mechanics |
| WOS Subject | Materials Science, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics |
| Funding Project | National Natural Science Foundation of China[11425211] |
| Funding Organization | National Natural Science Foundation of China |
| Classification | 二类/Q1 |
| Ranking | 1 |
| Contributor | Wei, Yujie |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/78747 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.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.Rp_Au:Wei, Yujie |
| 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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| File Name/Size | DocType | Version | Access | License | ||
| Jp2019155.pdf（1461KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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