Adhesive contact between a rigid spherical indenter and an elastic multi-layer coated substrate

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:87

Article

Stan, Gheorghe^1,2  Adams, George G.³ 

[1] NIST, Mat Measurement Lab, Gaithersburg, MD 20899 USA

[2] George Washington Univ, Sch Engn & Appl Sci, Washington, DC 20052 USA

[3] Northeastern Univ, Dept Mech & Ind Engn, Boston, MA 02115 USA

关键词: Adhesion and adhesives;    Contact mechanics;    Elastic material;    Layered material;    Integral transforms;   

DOI  :  10.1016/j.ijsolstr.2016.02.043

来源: Elsevier

【 摘 要 】

In this paper the frictionless, adhesive contact between a rigid spherical indenter and an elastic multi layer coated half-space was investigated by means of an integral transform formulation. The indented multi-layer coats were considered as made of isotropic layers that are perfectly bonded to each other and to an isotropic substrate. The adhesive interaction between indenter and contacting surface was treated as Maugis-type adhesion to provide general applicability within the entire range of adhesive interactions. By using a transfer matrix method, the stress-strain equations of the system were reduced to two coupled integral equations for the stress distribution under the indenter and the ratio between the adhesion radius and the contact radius, respectively. These resulting integral equations were solved through a numerical collocation technique, with solutions for the load dependencies of the contact radius and indentation depth for various values of the adhesion parameter and layer composition. The method developed here can be used to calculate the force-distance response of adhesive contacts on various inhomogeneous half-spaces that can be modeled as multi-layer coated half-spaces. (C) 2016 Elsevier Ltd. All rights reserved.

【 授权许可】

Free