. 2021 Nov 22;11:22668. doi: 10.1038/s41598-021-01036-5

Table 2.

Elastic modulus estimated from the classical Hertz theory E^H, Hertz theory corrected for finite height E^H-fh, Hertz theory corrected for neo-Hookean non-linearity and finite height E^NH-fh, Hertz theory corrected for neo-Hookean nonlinearity and finite dimensions (finite height and finite diameter) E^NH-fdh.

Sample	E^H (kPa)	$E^{H - f h}$ (kPa)	$E^{N H - f h}$ (kPa)	$E^{N H - f d h}$ (kPa)	$\frac{E^{N H - f d h} - E^{N H - f h}}{E^{N H - f d h}}$
PAA1	0.18	0.12	0.13	0.14	7%
PAA2	1.82	1.05	1.15	1.20	4%
PAA4	3.46	2.14	2.27	2.27	0%
PAA5	11.39	8.29	8.55	8.92	4%
PAA6	11.39	9.11	10.36	11.23	7%
PAA7	67.91	44.91	47.11	50.43	7%