| An analytical self consistent model for the adhesion of Gibson solid | |
Zhu, Yudong; Zheng, Zhijun ; Huang CG(黄晨光); Yu, Jilin
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| Source Publication | INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
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| 2023-07-01 | |
| Volume | 249Pages:108246 |
| ISSN | 0020-7403 |
| Abstract | A full self consistent model (FSCM) for the adhesive contact between an axisymmetric rigid punch and a Gibson solid (an incompressible, linear graded elastic material) is established, which gives a self consistent relation between the surface gap and interaction. Power law shaped indenters and the Lennard Jones interaction law are studied as representative cases, and the self consistent equation is expressed in a dimensionless form with two independent parameters, namely the shape index and the Tabor number. The self consistent equation for Gibson solid is a higher order polynomial equation with respect to the surface gap, which differs from the nonlinear integral equation for power law graded elastic material. By taking the surface gap as the independent variable instead of the radius, the self consistent equation is solved explicitly, which gives the first explicit form of the solution to an FSCM. When the Tabor number exceeds a critical value, jump in instability and adhesion hysteresis occur, and the folding phenomenon that the Gibson solid surface is flipped and folded along the radial direction is observed. The critical Tabor number is determined in an explicit form and it is found to be independent of the surface index. The extended Maugis Dugdale (M D) model for Gibson solid is invalid when the Tabor number is large enough and the extended Johnson Kendall Roberts (JKR) model does not present the soft limit, due to their assumption of simple contact. An asymptotic solution is derived for the soft limit of the FSCM, which gives a power law asymptotic relation between the dimensionless pull off force and the Tabor number. This study provides a self consistent toy model for the adhesive contact of Gibson solid and may deepen the understanding on the adhesion of graded materials. |
| Keyword | Adhesive contact Gibson solid Toy model Folding deformation Asymptotic solution |
| DOI | 10.1016/j.ijmecsci.2023.108246 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000950392900001 |
| WOS Research Area | Engineering, Mechanical ; Mechanics |
| WOS Subject | Engineering ; Mechanics |
| Funding Organization | National Natural Science Foundation of China [12272375] |
| Classification | 一类 |
| Ranking | 3 |
| Contributor | Zheng, ZJ (corresponding author), Univ Sci & Technol China, Dept Modern Mech, CAS Key Lab Mech Behav & Design Mat, Hefei 230027, Peoples R China. |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/91808 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | 1.Univ Sci & Technol China, Dept Modern Mech, CAS Key Lab Mech Behav & Design Mat, Hefei 230027, Peoples R China 2.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hefei Inst Phys Sci, Hefei 230031, Peoples R China |
| Recommended Citation GB/T 7714 | Zhu, Yudong,Zheng, Zhijun,Huang CG,et al. An analytical self consistent model for the adhesion of Gibson solid[J]. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES,2023,249:108246.Rp_Au:Zheng, ZJ (corresponding author), Univ Sci & Technol China, Dept Modern Mech, CAS Key Lab Mech Behav & Design Mat, Hefei 230027, Peoples R China. |
| APA | Zhu, Yudong,Zheng, Zhijun,黄晨光,&Yu, Jilin.(2023).An analytical self consistent model for the adhesion of Gibson solid.INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES,249,108246. |
| MLA | Zhu, Yudong,et al."An analytical self consistent model for the adhesion of Gibson solid".INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES 249(2023):108246. |
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| Jp2023Fa139.pdf（1300KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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