Indentation of a Plate on a Thin Transversely Isotropic Elastic Layer
文献类型：期刊论文
| 作者 | Li JY(李居曜)3; Zhang, Guozheng3; Wang L(王柳)1,2; Dai, Zhaohe3 |
| 刊名 | ACTA MECHANICA SOLIDA SINICA
 |
| 出版日期 | 2024-10-07 |
| 页码 | 10 |
| 关键词 | Indentation Elastic layers Transversely isotropic Winkler foundation Graphite |
| ISSN号 | 0894-9166 |
| DOI | 10.1007/s10338-024-00532-1 |
| 通讯作者 | Dai, Zhaohe(daizh@pku.edu.cn) |
| 英文摘要 | This work investigates the indentation response of an elastic plate resting upon a thin, transversely isotropic elastic layer supported by a rigid substrate. Such a scenario is encountered across a range of length scales from piezoresistive tests on graphite nanoflakes to the bending of floating ice shelves atop seabed, where the elastic layer commonly exhibits certain anisotropy. We first develop an approximate model to describe the elastic response of a transversely isotropic layer by exploiting the slenderness of the layer. We show that this approximate model can be reduced to the classic compressible Winkler foundation model as the elastic constants of the layer are set isotropic. We then investigate the combined response of an elastic plate on the transversely isotropic elastic layer. Facilitated by the simplicity of our proposed approximate model, we can derive simple analytical solutions for the cases of small and large indenter radii. The analytical results agree well with numerical calculations obtained via finite element methods, as long as the system is sufficiently slender in a mechanical sense. These results offer quantitative insights into the mechanical behavior of numerous semiconductor materials characterized by transverse isotropy and employed with slender geometries in various practical applications where the thin layer works as conductive and functional layers. |
| 分类号 | Q3 |
| WOS关键词 | INCLUDING SLIDING FRICTION ; FIELD ; CONTACT |
| 资助项目 | National Natural Science Foundation of China[12372103] ; Opening Fund of State Key Laboratory of Nonlinear Mechanics (Institute of Mechanics, CAS) ; Fundamental Research Funds for Central Universities (Peking University) |
| WOS研究方向 | Materials Science ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:001327615100002 |
| 资助机构 | National Natural Science Foundation of China ; Opening Fund of State Key Laboratory of Nonlinear Mechanics (Institute of Mechanics, CAS) ; Fundamental Research Funds for Central Universities (Peking University) |
| 其他责任者 | Dai, Zhaohe |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/96904]  |
| 专题 | 力学研究所_高温气体动力学国家重点实验室 |
| 作者单位 | 1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China 2.Univ Sci & Technol China, Dept Modern Mech, CAS Key Lab Mech Behav & Design Mat, Hefei 230026, Anhui, Peoples R China; 3.Peking Univ, Coll Engn, Dept Mech & Engn Sci, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China; |
| 推荐引用方式 GB/T 7714 | Li JY,Zhang, Guozheng,Wang L,et al. Indentation of a Plate on a Thin Transversely Isotropic Elastic Layer[J]. ACTA MECHANICA SOLIDA SINICA,2024:10. |
| APA | 李居曜,Zhang, Guozheng,王柳,&Dai, Zhaohe.(2024).Indentation of a Plate on a Thin Transversely Isotropic Elastic Layer.ACTA MECHANICA SOLIDA SINICA,10. |
| MLA | 李居曜,et al."Indentation of a Plate on a Thin Transversely Isotropic Elastic Layer".ACTA MECHANICA SOLIDA SINICA (2024):10. |
入库方式： OAI收割
来源：力学研究所
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