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Analysis of indentation creep

Published online by Cambridge University Press:  31 January 2011

Don S. Stone ,
Joseph E. Jakes ,
Jonathan Puthoff  and
Abdelmageed A. Elmustafa
Don S. Stone*
Affiliation:
Department of Materials Science and Engineering, and Materials Science Program, University of Wisconsin−Madison, Madison, Wisconsin 53706
Joseph E. Jakes
Affiliation:
Materials Science Program, University of Wisconsin−Madison, Madison, Wisconsin 53706; and Performance Enhanced Biopolymers, United States Forest Service, Forest Products Laboratory, Madison, Wisconsin 53726
Jonathan Puthoff
Affiliation:
Materials Science Program, University of Wisconsin−Madison, Madison, Wisconsin 53706
Abdelmageed A. Elmustafa
Affiliation:
Department of Mechanical Engineering and The Applied Research Center–Jefferson Laboratory, Old Dominion University, Norfolk, Virginia 23529
*
a)Address all correspondence to this author. e-mail: dsstone@wisc.edu
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Abstract

Finite element analysis is used to simulate cone indentation creep in materials across a wide range of hardness, strain rate sensitivity, and work-hardening exponent. Modeling reveals that the commonly held assumption of the hardness strain rate sensitivity (mH) equaling the flow stress strain rate sensitivity (mσ) is violated except in low hardness/modulus materials. Another commonly held assumption is that for self-similar indenters the indent area increases in proportion to the (depth)2 during creep. This assumption is also violated. Both violations are readily explained by noting that the proportionality “constants” relating (i) hardness to flow stress and (ii) area to (depth)2 are, in reality, functions of hardness/modulus ratio, which changes during creep. Experiments on silicon, fused silica, bulk metallic glass, and poly methyl methacrylate verify the breakdown of the area-(depth)2 relation, consistent with the theory. A method is provided for estimating area from depth during creep.

Keywords

NanoindentationHardnessStress/strain relationship
Type
Outstanding Symposium Papers
Information
Journal of Materials Research , Volume 25 , Issue 4 , April 2010 , pp. 611 - 621
Copyright
Copyright © Materials Research Society 2010

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