ogden_model_symmetric: ogden_model_symmetric

In tbgitoo/textureAnalyzerGels: Reading and analyzing texture analyzer data

ogden_model_symmetric

Description

Convenience function, giving the elastic stress as a function of the material stretch, according to the Ogden model (Ogden 1972), by using symmetric pairs of mu and alpha. Uses ogden_model

Usage

ogden_model_symmetric(mu,alpha,stretch)

Arguments

mu	Vector of Young moduli at zero stretch (see details)
alpha	Vector of coefficients
stretch	Stretch at which the stress values should be evaluated

Value

Stress at the given stretch values, obtained by calling ogden_model via:

ogden_model(c(mu,mu),c(alpha,-alpha),stretch)

Author(s)

Thomas Braschler

References

Ogden, R. W. (1972), ?Large Deformation Isotropic Elasticity - On the Correlationof Theory and Experiment for Incompressible Rubberlike Solids?,Proceedings of theRoyal Society A: Mathematical, Physical and Engineering Sciences326(1567), 565?584.

Examples

stretch=seq(from=0.5,to=2,by=0.01)
stress=ogden_model_symmetric(mu=c(1e3),alpha=c(3),stretch=stretch)
# Sekant Young model
E=stress/(stretch-1)

plot(E ~ stretch)

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