Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

The effect of edge compliance on the adhesive contact between a spherical indenter and a quarter- space



Gheorghe Stan


In this work, the effect of the edge compliance on the adhesive contacts near the edge of a quarter-space is analyzed in terms of stress, deformation, and contact stiffness. The study relies on the numerical implementation of the conjugate gradient method (CGM) to adhesive contacts near the edge of a quarter-space. It extends the previous CGM developed for contact analysis of non-adhesive and adhesive contacts on half-space to the matrix formulation of the quarter-space problem. The considered adhesive contact interaction is in terms of the Maugis- Dugdale model to provide insight into the transitional behavior from non-adhesive to various type of contact adhesive regimes. It is found that the edge compliance affects the contact mechanics of adhesive contacts as a function of position, applied force, and adhesive parameter. The analysis provides calculations for quantities like depth indentation and contact stiffness that can be found directly in indentation-type experiments performed on samples with edge geometries. Such understanding and characterization of edge contacts can be used to unambiguously account for the mechanical response of nanoscale structures near their edges and detect possible mechanical variability introduced by fabrication and processing.
Journal of Physics D-Applied Physics


indentation, quarter space, finite element modeling


Stan, G. (2019), The effect of edge compliance on the adhesive contact between a spherical indenter and a quarter- space, Journal of Physics D-Applied Physics, [online], (Accessed July 17, 2024)


If you have any questions about this publication or are having problems accessing it, please contact

Created January 31, 2019, Updated August 3, 2020