Specific adhesion of a soft elastic body on a wavy surface

作     者：Jizeng Wang Jinyan Yao Huajian Gao 

作者机构：Key Laboratory of Mechanics on Environment and Disaster in Western Chinathe Ministry of Education of Chinaand Department of Mechanics and Engineering SciencesSchool of Civil Engineering and MechanicsLanzhou UniversityLanzhouGansu 730000China School of EngineeringBox DBrown University182 Hope StreetProvidenceRI 02912USA 

出 版 物：《Theoretical & Applied Mechanics Letters》 (力学快报（英文版）)

年 卷 期：2012年第2卷第1期

页      面：12-17页

学科分类：08[工学] 080501[工学-材料物理与化学] 0805[工学-材料科学与工程（可授工学、理学学位）] 080502[工学-材料学] 

基　　金：supported by the National Natural Science Foundation of China(11032006,11072094,and 11121202) the Ph.D.Program Foundation of Ministry of Education of China(20100211110022) the program for New Century Excellent Talents in University(NCET-10-0445) the Fundamental Research Funds for the Central Universities (lzujbky- 2012-k06) 

主　　题：surface topography cell adhesion contact mechanics roughness 

摘      要：This paper aims at developing a stochastic-elastic model of a soft elastic body adhering on a wavy surface via a patch of molecular bonds. The elastic deformation of the system is modeled by using continuum contact mechanics, while the stochastic behavior of adhesive bonds is modeled by using Bell＇s type of exponential bond association/dissociation rates. It is found that for sufficiently small adhesion patch size or stress concentration index, the adhesion strength is insensitive to the wavelength but decreases with the amplitude of surface undulation, and that for large adhesion patch size or stress concentration index, there exist optimal values of the surface wavelength and amplitude for maximum adhesion strength.