force_Sneddon_cone_AFM_indentation: force_Sneddon_cone_AFM_indentation

In tbgitoo/textureAnalyzerGels: Reading and analyzing texture analyzer data

force_Sneddon_cone_AFM_indentation

Description

Calculation of the force necessary to indent a conical tip into a homogeneous material (Sneddon 1965). This typically used in AFM, but can also be applied to a macroscopic indentor.

Usage

force_Sneddon_cone_AFM_indentation(E_substrate=1e8,nu_substrate=0.5,h_indentation=20e-9,alpha_cone=20/180*pi)

Arguments

E_substrate	Young modulus of the substrate to be compressed
nu_substrate	Poisson ratio of the substrate to be compressed
h_indentation	Depth of the cone indentation
alpha_cone	Half-opening angle of the cone

Details

The formula used here applies to an indentation by a conical indentor into a substrate of isotropic, homogeneous composition occupying the lower half-plane (Sneddon 1965w).

Value

Force necessary to produce the desired indentation.

Author(s)

Thomas Braschler

References

I. N. Sneddon, International Journal of Engineering Science 1965, 3, 47.

Examples

force_Sneddon_cone_AFM_indentation()

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