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A Study of Microindentation Hardness Tests by Mechanism-based Strain Gradient Plasticity

Published online by Cambridge University Press:  31 January 2011

Y. Huang ,
Z. Xue ,
H. Gao ,
W. D. Nix  and
Z. C. Xia
Y. Huang
Affiliation:
Department of Mechanical and Industrial Engineering, University of Illinois, Urbana, Illinois 61801
Z. Xue
Affiliation:
Department of Mechanical and Industrial Engineering, University of Illinois, Urbana, Illinois 61801
H. Gao
Affiliation:
Division of Mechanics and Computation, Stanford University, Stanford, California 94305
W. D. Nix
Affiliation:
Department of Materials Science and Engineering, Stanford University, Stanford, California 94305
Z. C. Xia
Affiliation:
Ford Research Laboratory, P.O. Box 2053, MD 3135/SRL, Dearborn, Michigan 48121
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Abstract

We recently proposed a theory of mechanism-based strain gradient (MSG) plasticity to account for the size dependence of plastic deformation at micron- and submicronlength scales. The MSG plasticity theory connects micron-scale plasticity to dislocation theories via a multiscale, hierarchical framework linking Taylor's dislocation hardening model to strain gradient plasticity. Here we show that the theory of MSG plasticity, when used to study micro-indentation, indeed reproduces the linear dependence observed in experiments, thus providing an important self-consistent check of the theory. The effects of pileup, sink-in, and the radius of indenter tip have been taken into account in the indentation model. In accomplishing this objective, we have generalized the MSG plasticity theory to include the elastic deformation in the hierarchical framework.

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Articles
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Journal of Materials Research , Volume 15 , Issue 8 , August 2000 , pp. 1786 - 1796
Copyright
Copyright © Materials Research Society 2000

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