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Adhesive contact between a rigid spherical indenter and an elastic multi-layer coated substrate.pdf
International Journal of Solids and Structures 87 (2016) 1–10
Contents lists available at ScienceDirect
International Journal of Solids and Structures
journal homepage: /locate/ijsolstr
Adhesive contact between a rigid spherical indenter and an elastic multi-layer coated substrate
Gheorghe Stan a,b,?, George G. Adams c
a Material Measurement Laboratory, National Institute of Standards and Technology, Gaithersburg, MA 20899, USA b School of Engineering and Applied Science, George Washington University, Washington, DC 20052, USA c Mechanical and Industrial Engineering Department, Northeastern University, Boston, MA 02115, USA
article info
Article history: Received 28 October 2015 Revised 15 January 2016 Available online 8 March 2016
Keywords: Adhesion and adhesives Contact mechanics Elastic material Layered material Integral transforms
abstract
In this paper the frictionless, adhesive contact between a rigid spherical indenter and an elastic multilayer 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
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