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DOI | 10.1038/s41467-019-09237-3 |
Matched asymptotic solution for crease nucleation in soft solids | |
Ciarletta, P.1,2 | |
2019-03-20 | |
发表期刊 | NATURE COMMUNICATIONS
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ISSN | 2041-1723 |
出版年 | 2018 |
卷号 | 9 |
文章类型 | Article |
语种 | 英语 |
国家 | Italy; France |
英文摘要 | A soft solid subjected to a large compression develops sharp self-contacting folds at its free surface, known as creases. Creasing is physically different from structural elastic instabilities, like buckling or wrinkling. Indeed, it is a fully nonlinear material instability, similar to a phase-transformation. This work provides theoretical insights of the physics behind crease nucleation. Creasing is proved to occur after a global bifurcation allowing the co-existence of an outer deformation and an inner solution with localised self-contact at the free surface. The most fundamental result here is the analytic prediction of the nucleation threshold, in excellent agreement with experiments and numerical simulations. A matched asymptotic solution is given within the intermediate region between the two co-existing states. The self-contact acts like the point-wise disturbance in the Oseen's correction for the Stokes flow past a circle. Analytic expressions of the matching solution and its range of validity are also derived. |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000424091800001 |
WOS关键词 | INSTABILITY ; BOUNDARY ; QUASICONVEXITY ; STABILITY |
WOS类目 | Multidisciplinary Sciences |
WOS研究方向 | Science & Technology - Other Topics |
URL | 查看原文 |
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文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/204267 |
专题 | 资源环境科学 |
作者单位 | 1.Politecn Milan, Dipartimento Matemat, MOX Lab, Piazza Leonardo da Vinci 32, I-20133 Milan, Italy; 2.Sorbonne Univ, CNRS, UMR 7190, F-75005 Paris, France |
推荐引用方式 GB/T 7714 | Ciarletta, P.. Matched asymptotic solution for crease nucleation in soft solids[J]. NATURE COMMUNICATIONS,2019,9. |
APA | Ciarletta, P..(2019).Matched asymptotic solution for crease nucleation in soft solids.NATURE COMMUNICATIONS,9. |
MLA | Ciarletta, P.."Matched asymptotic solution for crease nucleation in soft solids".NATURE COMMUNICATIONS 9(2019). |
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