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Obtaining shear relaxation modulus and creep compliance of linear viscoelastic materials from instrumented indentation using axisymmetric indenters of power-law profiles

Published online by Cambridge University Press:  31 January 2011

Yang-Tse Cheng  and
Fuqian Yang
Yang-Tse Cheng*
Affiliation:
Department of Chemical and Materials Engineering, University of Kentucky, Lexington, Kentucky 40506
Fuqian Yang*
Affiliation:
Department of Chemical and Materials Engineering, University of Kentucky, Lexington, Kentucky 40506
*
a) Address all correspondence to this author. e-mail: [email protected]
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

Using Laplace transform, we solve the inverse problem of obtaining the shear relaxation modulus and creep compliance of linear viscoelastic solids from indentation by axisymmetric indenters of power-law profiles. We identify several simple, though nontrivial, loading paths for carrying out indentation measurements such that the inverse problem has analytical solutions. We show that the shear relaxation modulus and creep compliance may be readily obtained using the newly derived analytical expressions together with proposed indentation loading paths.

Keywords

Elastic propertiesHardnessNanoscale
Type
Articles
Information
Journal of Materials Research , Volume 24 , Issue 10 , October 2009 , pp. 3013 - 3017
Copyright
Copyright © Materials Research Society 2009

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