fit_young_modulus_polymer_from_bulk: fit_young_modulus_polymer_from_bulk

In tbgitoo/textureAnalyzerGels: Reading and analyzing texture analyzer data

fit_young_modulus_polymer_from_bulk

Description

Estimation of the intrinsic Young modulus of the polymer phase in a cryogel from the bulk Young modulus

Usage

fit_young_modulus_polymer_from_bulk(polymer_volume_fraction,E_bulk,return_model=FALSE)

Arguments

polymer_volume_fraction	Volume fraction occupied by the polymer phase
E_bulk	Apparent Young modulus of the bulk structure as measured by a mechanical test equipment with a chuch size much larger than the pore size
return_model	If TRUE, return the nls model used for fitting as an attribute to the result (e.g. attr(result,"model"))

Details

The model used for the estimation is explained in more detail in young_modulus_cryogel_theory; it is given by E_bulk = E_polymer*polymer_volume_fraction^3, as described in Beduer et al., 2015. The fitting is carried out by taking the log of both the polymer_volume_fraction and E_bulk, and the by linear fitting of a straight line of slope 3.

If both polymer_volume_fraction and E_bulk are numeric (length=1), the calculation is carried out exactly.

Value

Estimation of the microscopic Young modulus of the polymer phase

Author(s)

Thomas Braschler

References

Beduer A, Braschler T, Peric O, Fantner E, Mosser S, Fraering PC, Bencherif SA, Mooney DJ, Renaud P: A Compressible Scaffold for Minimally Invasive Delivery of Large Intact Neuronal Networks, Advanced Healthcare Materials, 2015, 4(2), 301-312

Examples

fit_young_modulus_polymer_from_bulk(0.01,1e3)

fit_young_modulus_polymer_from_bulk(c(0.01,0.02,0.03),c(0.2e3,0.7e3,2e3))

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