Small volume deformation can produce two types of plastic instability events. The first involves dislocation nucleation as a dislocation by dislocation event and occurs in nanoparticles or bulk single crystals deformed by atomic force microscopy or small nanoindenter forces. For the second instability event, this involves larger scale nanocontacts into single crystals or their films wherein multiple dislocations cooperate to form a large displacement excursion or load drop. With dislocation work, surface work, and stored elastic energy, one can account for the energy expended in both single and multiple dislocation events. This leads to an energy balance criterion which can model both the displacement excursion and load drop in either constant load or fixed displacement experiments. Nanoindentation of Fe-3% Si (100) crystals with various oxide film thicknesses supports the proposed approach.
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March 2006
Technical Papers
An Energy Balance Criterion for Nanoindentation-Induced Single and Multiple Dislocation Events
William W. Gerberich,
William W. Gerberich
Chemical Engineering and Materials Science,
e-mail: wgerb@umn.edu
University of Minnesota
, 421 Washington Avenue, SE, Minneapolis, MN 55455
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W. M. Mook,
W. M. Mook
Chemical Engineering and Materials Science,
University of Minnesota
, 421 Washington Avenue, SE, Minneapolis, MN 55455
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M. D. Chambers,
M. D. Chambers
Chemical Engineering and Materials Science,
University of Minnesota
, 421 Washington Avenue, SE, Minneapolis, MN 55455
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M. J. Cordill,
M. J. Cordill
Chemical Engineering and Materials Science,
University of Minnesota
, 421 Washington Avenue, SE, Minneapolis, MN 55455
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C. R. Perrey,
C. R. Perrey
Chemical Engineering and Materials Science,
University of Minnesota
, 421 Washington Avenue, SE, Minneapolis, MN 55455
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C. B. Carter,
C. B. Carter
Chemical Engineering and Materials Science,
University of Minnesota
, 421 Washington Avenue, SE, Minneapolis, MN 55455
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R. E. Miller,
R. E. Miller
Mechanical and Aerospace Engineering,
Carleton University
, Ottawa, ON K1S 5B6, Canada
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W. A. Curtin,
W. A. Curtin
Division of Engineering,
Brown University
, Providence, RI 02912
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R. Mukherjee,
R. Mukherjee
Mechanical Engineering,
University of Minnesota
, Minneapolis, MN 55455
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S. L. Girshick
S. L. Girshick
Mechanical Engineering,
University of Minnesota
, Minneapolis, MN 55455
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William W. Gerberich
Chemical Engineering and Materials Science,
University of Minnesota
, 421 Washington Avenue, SE, Minneapolis, MN 55455e-mail: wgerb@umn.edu
W. M. Mook
Chemical Engineering and Materials Science,
University of Minnesota
, 421 Washington Avenue, SE, Minneapolis, MN 55455
M. D. Chambers
Chemical Engineering and Materials Science,
University of Minnesota
, 421 Washington Avenue, SE, Minneapolis, MN 55455
M. J. Cordill
Chemical Engineering and Materials Science,
University of Minnesota
, 421 Washington Avenue, SE, Minneapolis, MN 55455
C. R. Perrey
Chemical Engineering and Materials Science,
University of Minnesota
, 421 Washington Avenue, SE, Minneapolis, MN 55455
C. B. Carter
Chemical Engineering and Materials Science,
University of Minnesota
, 421 Washington Avenue, SE, Minneapolis, MN 55455
R. E. Miller
Mechanical and Aerospace Engineering,
Carleton University
, Ottawa, ON K1S 5B6, Canada
W. A. Curtin
Division of Engineering,
Brown University
, Providence, RI 02912
R. Mukherjee
Mechanical Engineering,
University of Minnesota
, Minneapolis, MN 55455
S. L. Girshick
Mechanical Engineering,
University of Minnesota
, Minneapolis, MN 55455J. Appl. Mech. Mar 2006, 73(2): 327-334 (8 pages)
Published Online: August 1, 2005
Article history
Received:
August 27, 2004
Revised:
August 1, 2005
Citation
Gerberich, W. W., Mook, W. M., Chambers, M. D., Cordill, M. J., Perrey, C. R., Carter, C. B., Miller, R. E., Curtin, W. A., Mukherjee, R., and Girshick, S. L. (August 1, 2005). "An Energy Balance Criterion for Nanoindentation-Induced Single and Multiple Dislocation Events." ASME. J. Appl. Mech. March 2006; 73(2): 327–334. https://doi.org/10.1115/1.2125988
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