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Title: Influence of indenter tip geometry on elastic deformation during nanoindentation

Abstract

Nanoindentation with a Berkovich indenter is commonly used to investigate the mechanical behavior of small volumes of materials. To date, most investigators have made the simplifying assumption that the tip is spherical. In reality, indenter tips are much more complex. Here, we develop a new method to describe the tip shape using the experimentally determined area function of the indenter at small depths (0--100 nm). Our analysis accurately predicts the elastic load-displacement curve and allows the theoretical strength of a material to be determined from pop-in data. Application of our new method to single crystal Cr{sub 3}Si shows that the predicted theoretical strengths are within 12% of the ideal strength G/2{pi}, where G is the shear modulus.

Authors:
 [1];  [1];  [2];  [1]
  1. ORNL
  2. MTS Nanoinstruments Innovation Center, Oak Ridge
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Shared Research Equipment Collaborative Research Center
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1003089
DOE Contract Number:  
DE-AC05-00OR22725
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 95; Journal Issue: 4; Journal ID: ISSN 0031--9007
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; BEHAVIOR; DEFORMATION; DIAGRAMS; FUNCTIONS; GEOMETRY; MATERIALS; MONOCRYSTALS; SHAPE; SHEAR; YIELD STRENGTH; VOLUME

Citation Formats

Bei, Hongbin, George, Easo P, Hay, J. L., and Pharr, George Mathews. Influence of indenter tip geometry on elastic deformation during nanoindentation. United States: N. p., 2005. Web. doi:10.1103/PhysRevLett.95.045501.
Bei, Hongbin, George, Easo P, Hay, J. L., & Pharr, George Mathews. Influence of indenter tip geometry on elastic deformation during nanoindentation. United States. doi:10.1103/PhysRevLett.95.045501.
Bei, Hongbin, George, Easo P, Hay, J. L., and Pharr, George Mathews. Sat . "Influence of indenter tip geometry on elastic deformation during nanoindentation". United States. doi:10.1103/PhysRevLett.95.045501.
@article{osti_1003089,
title = {Influence of indenter tip geometry on elastic deformation during nanoindentation},
author = {Bei, Hongbin and George, Easo P and Hay, J. L. and Pharr, George Mathews},
abstractNote = {Nanoindentation with a Berkovich indenter is commonly used to investigate the mechanical behavior of small volumes of materials. To date, most investigators have made the simplifying assumption that the tip is spherical. In reality, indenter tips are much more complex. Here, we develop a new method to describe the tip shape using the experimentally determined area function of the indenter at small depths (0--100 nm). Our analysis accurately predicts the elastic load-displacement curve and allows the theoretical strength of a material to be determined from pop-in data. Application of our new method to single crystal Cr{sub 3}Si shows that the predicted theoretical strengths are within 12% of the ideal strength G/2{pi}, where G is the shear modulus.},
doi = {10.1103/PhysRevLett.95.045501},
journal = {Physical Review Letters},
issn = {0031--9007},
number = 4,
volume = 95,
place = {United States},
year = {2005},
month = {1}
}