ogden_model_symmetric_energy: ogden_model_symmetric_energy

View source: R/ogden_model_symmetric_energy.R

ogden_model_symmetric_energyR Documentation

ogden_model_symmetric_energy

Description

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

Usage

ogden_model_symmetric_energy(mu,alpha,stretch)

Arguments

mu

Vector of Young moduli at zero stretch (see details)

alpha

Vector of coefficients

stretch

Stretch at which the stress energy should be evaluated

Value

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

ogden_model_energy(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_energy=ogden_model_symmetric_energy(mu=c(1e3),alpha=c(3),stretch=stretch)



plot(stress_energy ~ stretch)


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