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TECHNICAL PAPERS

The Influence of Indenter Tip Radius on the Micro-Indentation Hardness

[+] Author and Article Information
Z. Xue, Y. Huang

Department of Mechanical and Industrial Engineering, University of Illinois, Urbana, IL 61801

K. C. Hwang

Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China

M. Li

Alcoa Technical Center, Alcoa Center, PA 15069-0001

J. Eng. Mater. Technol 124(3), 371-379 (Jun 10, 2002) (9 pages) doi:10.1115/1.1480409 History: Received August 06, 2001; Revised February 19, 2002; Online June 10, 2002
Copyright © 2002 by ASME
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Figures

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Schematic diagrams of indenters, (a) a sharp, conical indenter; (b) a spherical indenter.
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Schematic diagrams of spherical indenters, (a) sink-in; (b) pile-up.
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Schematic diagram of a conical indenter with a spherical tip
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The micro-indentation hardness H versus the ratio of contact radius a to the indenter tip radius R for a spherical indenter predicted by classical and MSG plasticity theories. The radius of the spherical indenter is R=1, 5, 10 and 20 μm. The indented material is a polycrystalline copper whose material properties are the same as those in Fig. 1.
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The indentation hardness H predicted by the classical plasticity theory versus the contact radius a for a spherical indenter with radius R=5 μm; a sharp, conical indenter with the angle θ=18 deg between the indenter and the flat surface of the material; and a conical indenter (θ=18 deg) with a spherical tip (R=5 μm). The indented material is a polycrystalline copper whose material properties are the same as those in Fig. 1.
Grahic Jump Location
The indentation hardness H predicted by the MSG plasticity theory versus the contact radius a for a spherical indenter with radius R=5 μm; a sharp, conical indenter with the angle θ=18 deg between the indenter and the flat surface of the material; and a conical indenter (θ=18 deg) with a spherical tip (R=5 μm). The indented material is a polycrystalline copper whose material properties are the same as those in Fig. 1.
Grahic Jump Location
The indentation hardness H predicted by the MSG plasticity theory versus the contact radius a for a sharp, conical indenter and a conical indenter with a spherical tip of radius R=1, 5, 10 and 20 μm. The indented material is a polycrystalline copper whose material properties are the same as those in Fig. 1.
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The micro-indentation hardness H of polycrystalline copper versus the indentation depth h for a sharp, conical indenter (Huang et al. [12]). The angle between the indenter and the flat surface of copper is θ=18 deg. The experimental data of McElhaney et al. (1998) are also shown. The material parameters are the shear modulus μ=42 GPa, Poisson’s ratio ν=0.3, Burgers vector b=0.255 nm, uniaxial stress-strain relation σ=678ε0.3 MPa, and the empirical coefficient α=0.30 in the Taylor dislocation model.

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