| Adhesion of graded elastic materials: A full self-consistent model and its Application | |
Zhu,Yudong1; Zheng,Zhijun1 ; Huang CG(黄晨光)2,3; Yu,Jilin1
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| Corresponding Author | Zheng, Zhijun(zjzheng@ustc.edu.cn) |
| Source Publication | JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
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| 2022-12-01 | |
| Volume | 169Pages:24 |
| ISSN | 0022-5096 |
| Abstract | A full self-consistent model (FSCM) of the axisymmetric adhesive contact between a rigid punch with an arbitrary surface shape and a power-law graded elastic half-space is developed. The self-consistent equation between the surface gap and the surface interaction (e.g., the Lennard-Jones force law) involves a nonlinear singular integral, posing a great challenge to numerical calculations. By applying the properties of Gauss's hypergeometric function, the integral singularity is eliminated in the numerical calculation through Riemann-Stieltjes integral. Case studies for power-law punch profiles are performed and the self-consistent equation can be expressed in a dimensionless form with three dimensionless parameters, namely a shape index, a gradient exponent, and a new generalized Tabor number. The FSCM results are obtained by solving the self-consistent equation through the surface central gap control method and Newton-Raphson iterative method. For large generalized Tabor numbers, the force- displacement curves are 'S-shaped' and condense to the extended JKR limit in the high-load branch. As the generalized Tabor number decreases, a continuous transition from the extended JKR model to the Bradley model for the adhesion of power-law graded materials is obtained. It is found that the pull-off force of a graded material usually depends on the three dimensionless parameters, but for some cases of the shape index, it is not sensitive to the gradient exponent when the generalized Tabor number is fixed. Asymptotic solutions are derived to predict the unstable jump points, which coincide well with the FSCM predictions. The FSCM is applied to validate the extended Maugis-Dugdale (M-D) model of graded materials and it is found that the accuracy of the original M-D-n-k model using the maximum strength condition to determine the cohesive stress is limited. By introducing the rigid-limit-consistency condition of the pull-off force to determine the cohesive stress, the M-D-n-k model is improved and its predictions show good consistency with the FSCM results. |
| Keyword | Adhesive contact Power-law graded material Self-consistent model JKR-Bradley transition ImprovedM-D-n-k model |
| DOI | 10.1016/j.jmps.2022.105078 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000870836100004 |
| WOS Keyword | HOMOGENEOUS HALF-SPACE ; SURFACE-ENERGY ; CONTACT ; DEFORMATION ; MECHANICS ; BEHAVIOR ; SOLIDS ; INDENTATION ; GRADIENTS ; CYLINDER |
| WOS Research Area | Materials Science ; Mechanics ; Physics |
| WOS Subject | Materials Science, Multidisciplinary ; Mechanics ; Physics, Condensed Matter |
| Funding Project | National Natural Science Foundation of China[12272375] ; start-up fund of University of Science and Technology of China[KY2090000036] |
| Funding Organization | National Natural Science Foundation of China ; start-up fund of University of Science and Technology of China |
| Classification | 一类/力学重要期刊 |
| Ranking | 3 |
| Contributor | Zheng, Zhijun |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/90499 |
| 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 230026, 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. Adhesion of graded elastic materials: A full self-consistent model and its Application[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,2022,169:24. |
| APA | Zhu,Yudong,Zheng,Zhijun,黄晨光,&Yu,Jilin.(2022).Adhesion of graded elastic materials: A full self-consistent model and its Application.JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,169,24. |
| MLA | Zhu,Yudong,et al."Adhesion of graded elastic materials: A full self-consistent model and its Application".JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 169(2022):24. |
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| Jp2022FA022.pdf（2334KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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