Adhesion of graded elastic materials: A full self-consistent model and its Application

doi:10.1016/j.jmps.2022.105078

IMECH-IR > 流固耦合系统力学重点实验室

	Adhesion of graded elastic materials: A full self-consistent model and its Application
	Zhu,Yudong 1; Zheng,Zhijun1 ; Huang CG(黄晨光)2,3 ; Yu,Jilin 1
通讯作者	Zheng, Zhijun(zjzheng@ustc.edu.cn)
发表期刊	JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
	2022-12-01
卷号	169 页码:24
ISSN	0022-5096
摘要	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.
关键词	Adhesive contact Power-law graded material Self-consistent model JKR-Bradley transition ImprovedM-D-n-k model
DOI	10.1016/j.jmps.2022.105078
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000870836100004
关键词[WOS]	HOMOGENEOUS HALF-SPACE ; SURFACE-ENERGY ; CONTACT ; DEFORMATION ; MECHANICS ; BEHAVIOR ; SOLIDS ; INDENTATION ; GRADIENTS ; CYLINDER
WOS研究方向	Materials Science ; Mechanics ; Physics
WOS类目	Materials Science, Multidisciplinary ; Mechanics ; Physics, Condensed Matter
资助项目	National Natural Science Foundation of China[12272375] ; start-up fund of University of Science and Technology of China[KY2090000036]
项目资助者	National Natural Science Foundation of China ; start-up fund of University of Science and Technology of China
论文分区	一类/力学重要期刊
力学所作者排名	3
RpAuthor	Zheng, Zhijun
引用统计	被引频次：3[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/90499
专题	流固耦合系统力学重点实验室
作者单位	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
推荐引用方式 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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