Accurate modeling of severe rubber deformations is now possible with finite element codes. Many of these codes now have certain strain energy functions built-in, but it is hard to get material parameters and the behavior of the different built-in functions have not been seriously evalutated. In this paper we show the benefits of assuming a Valanis-Landel form for the strain energy function by comparing it to models available in ABAQUS. Specifically, we show that in ABAQUS the Ogden Strain Energy Density Function, accurately predicts the planar stress-strain response even though the underlying data set used to determine the constants in the function includes only uniaxial data, and that the Polynomial Strain Energy Density Function cannot accurately reproduce the planar stress-strain response. However, the Polynomial form accurately predicts the planar response when planar data are added to the uniaxial data setBthe planar data are not experimetnally determined, but are generated from the Valanis-Landel Function, which in turn was found from the uniaxial data. This is a feasible way of generating planar stres-strain data from a finite element code that has only a polynomial strain energy density function available.
Journal of Applied Polymer Science
finite deformation, finite element, mechanical testing, rubber elasticity, strain energy function, Valanis-Landel Function
, Chang, P.
and McKenna, G.
Rubber Modeling Using Uniaxial Test Data, Journal of Applied Polymer Science
(Accessed December 8, 2023)