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. 2011 Mar 10;17(3):155–164. doi: 10.1089/ten.teb.2010.0520

Table 1.

Review of Theoretical Models

Model Theoretical F versus δ Reference
I Purely elastic sphere compression
graphic file with name inl-1.jpg
Inline graphic 72,88,110
II Rigid sphere indenter
graphic file with name inl-2.jpg
Inline graphic 75
III Rigid, flat-ended cylinder indenter
graphic file with name inl-3.jpg
Inline graphic 75
IV Rigid cone indenter
graphic file with name inl-4.jpg
Inline graphic 74,75
V Rigid cone indenter
graphic file with name inl-5.jpg
Inline graphic
INCORRECT
78

Note that the reduced modulus (E*) is used in Equation I and not in II–V, where it is assumed that the indenter is infinitely rigid: Inline graphic.

E, Young's modulus; δ, indentation depth; R, radius; ν, Poisson's ratio; α, half angle opening.

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