force_Hertz_AFM_indentation: force_Hertz_AFM_indentation

In tbgitoo/textureAnalyzerGels: Reading and analyzing texture analyzer data

force_Hertz_AFM_indentation

Description

Calculation of the force necessary to indent an AFM tip of radius R_tip into a flat substrate to a depth of h_indentation.
This is the classical Hertzian sphere indentation model (Popov 2017).

Usage

force_Hertz_AFM_indentation(E_substrate=1e8,nu_substrate=0.5,h_indentation=20e-9,R_tip=8e-9)

Arguments

E_substrate	Young modulus of the substrate to be compressed
nu_substrate	Poisson ratio of the substrate to be compressed
h_indentation	Total depth of indentation. This is the indentation due to the physical contact plus the free space due to the deformation of the neighbouring substrate surface. In the Hertz approximation, the two contributions are exactly equal.
R_tip	Tip radius

Details

The formula used here applies to an indentation by a spherical indentor into a substrate of isotropic, homogeneous composition occupying the lower half-plane (Popov 2017).

Value

Force necessary to produce the desired indentation.

Author(s)

Thomas Braschler

References

Popov, L. V. Contact Mechanics and Friction, Springer, Berlin-Heidelberg, 2017

Examples

force_Hertz_AFM_indentation()

tbgitoo/textureAnalyzerGels documentation built on March 30, 2022, 4:53 a.m.