| Indentation of a Plate on a Thin Transversely Isotropic Elastic Layer | |
| Li JY(李居曜)1; Zhang, Guozheng1; Wang L(王柳)2,3; Dai, Zhaohe1 | |
| Corresponding Author | Dai, Zhaohe([email protected]) |
| Source Publication | ACTA MECHANICA SOLIDA SINICA
 |
| 2024-10-07 | |
| Pages | 10 |
| ISSN | 0894-9166 |
| Abstract | 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. |
| Keyword | Indentation Elastic layers Transversely isotropic Winkler foundation Graphite |
| DOI | 10.1007/s10338-024-00532-1 |
| Indexed By | SCI ; EI ; CSCD |
| Language | 英语 |
| WOS ID | WOS:001327615100002 |
| WOS Keyword | INCLUDING SLIDING FRICTION ; FIELD ; CONTACT |
| WOS Research Area | Materials Science ; Mechanics |
| WOS Subject | Materials Science, Multidisciplinary ; Mechanics |
| Funding Project | 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) |
| Funding Organization | 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) |
| Classification | Q3 |
| Ranking | 3 |
| Contributor | Dai, Zhaohe |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/96905 |
| Collection | 高温气体动力学国家重点实验室 |
| Affiliation | 1.Peking Univ, Coll Engn, Dept Mech & Engn Sci, State Key Lab Turbulence & Complex Syst, Beijing 100871, 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.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China |
| Recommended Citation 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.Rp_Au:Dai, Zhaohe |
| 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. |
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