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Revisit of the two-dimensional indentation deformation of an elastic half-space

Published online by Cambridge University Press:  31 January 2011

Fuqian Yang  and
Yang-Tse Cheng
Fuqian Yang*
Affiliation:
Department of Chemical and Materials Engineering, University of Kentucky, Lexington, Kentucky 40506
Yang-Tse Cheng*
Affiliation:
Department of Chemical and Materials Engineering, University of Kentucky, Lexington, Kentucky 40506
*
a) Address all correspondence to this author. e-mail: fyang0@engr.uky.edu
b) This author was an editor of this journal during the review and decision stage. For the JMR policy on review and publication of manuscripts authored by editors, please refer to http://www.mrs.org/jmr_policy
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Abstract

Recently, there is a growing interest in two-dimensional (2D) plane indentation as an imprinting method for creating nanostructures. There is also a strong interest in using 2D flat-ended, wedge, and cylindrical indenters for characterizing mechanical properties of materials. In either case the knowledge of load versus displacement of the indenter is important. However, there has been some confusion about the load–displacement relationships for 2D indentation in the literature. Concerning this confusion on the relationship between the indentation load and the indentation depth for 2D elastic indentations, the symmetric indentation of an elastic half-space is studied. Parameters are introduced in determining the semianalytical relation between the indentation load and the indentation depth for flat-ended indenters and in determining the dependence of the indentation depth on the contact size for non-flat-ended indenters. The indentation load is proportional to the indentation depth for the indentation by flat-ended indenters and is a parabolic function of the indentation depth to the first order of approximation for non-flat-ended indenters including the wedge and cylindrical indenters.

Keywords

Elastic propertiesNanoindentationSimulation
Type
Articles
Information
Journal of Materials Research , Volume 24 , Issue 6 , June 2009 , pp. 1976 - 1982
Copyright
Copyright © Materials Research Society 2009

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