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. 2014 Apr 6;4(2):20130055. doi: 10.1098/rsfs.2013.0055

Table 2.

The summary of the effective contact radius, effective contact stress and representative strain for various tip geometries.

tip geometry
effective contact radius (ac) effective contact stress representative strain
sphere Inline graphic Inline graphic Inline graphic
cylindrical punch R 0.1433cos2θ + 0.205cosθ + 0.0191a
cone Inline graphic
pyramid triangle-base Inline graphic
square-base Inline graphic

aThis empirical expression is based on best fitting of the raw data in [41], see appendix A.