Adhesive Contact of a One-Dimensional Hexagonal Quasicrystal Half-Space Punched by a Spherical Indenter  

作　　者：Peidong Li Yuwei Liu Songhan Zhang Bingmei Shao Haidong Fan Qingyuan Wang 

机构地区：[1]Failure Mechanics and Engineering Disaster Prevention,Key Laboratory of Sichuan Province,Sichuan University,Chengdu,610065,China [2]Chengdu University,Chengdu,610106,China [3]School of Civil Engineering,Dalian University of Technology,Dalian,116024,China

出　　处：《Acta Mechanica Solida Sinica》2022年第5期787-799,共13页固体力学学报（英文版）

基　　金：supported primarily by the National Natural Science Foundation of China(Nos.12172237,12002273 and 11832007);The supports from Sichuan Science and Technology Program(No.2021YJ0513-BG);2022 Open Project of Failure Mechanics and Engineering Disaster Prevention,Key Lab of Sichuan Provence(No.FMEDP202211);are also gratefully acknowledged.

摘　　要：This paper develops the adhesive contact theory for a one-dimensional hexagonal quasicrystal half-space punched by a spherical indenter on the basis of the classical adhesive contact models involving the Johnson–Kendall–Roberts(JKR)model,the Maugis–Dugdale(MD)model and the Derjaguin–Muller–Toporov(DMT)model.By using the superposition principle combined with the Griffith energy balance,all the significant physical quantities for adhesive contact,such as the energy release rate,indentation force,penetration depth,contact radius and pull-out force,are obtained for different models.The result for the DMT model is derived from the MD solution through a limiting procedure.A numerical calculation is carried out to verify the present analytical solutions,to compare different contact models,and to analyze the influence of the phason field on the results.It is indicated that the effect of the phason field on the result for the MD model is pronounced,especially for a small contact radius.However,the phason effect on the JKR and DMT results is not significant.The present solution can serve as a theoretical basis for nano-indentation and atomic force microscopy to measure the material properties of quasicrystals.

关 键 词：Adhesive contact QUASICRYSTAL Spherical indenter Analytical solution 

分 类 号：TG146.23[一般工业技术—材料科学与工程]