Rubber modeling using uniaxial test data

G. L. Bradley, P. C. Chang, G. B. McKenna

Research output: Contribution to journalArticlepeer-review

64 Scopus citations


Accurate modeling of large rubber deformations is now possible with finite-element codes. Many of these codes have certain strain-energy functions built-in, but it can be difficult to get the relevant material parameters and the behavior of the different built-in functions have not been seriously evaluated. In this article, we show the benefits of assuming a Valanis-Landel (VL) form for the strain-energy function and demonstrate how this function can be used to enlarge the data set available to fit a polynomial expansion of the strain-energy function. Specifically, we show that in the ABAQUS finite-element code the Ogden strain-energy density function, which is a special form of the VL function, can be used to provide a planar stress-strain data set even though the underlying data used to determine the constants in the strain-energy function include only uniaxial data. Importantly, the polynomial strain-energy density function, when fit to the uniaxial data set alone, does not give the same planar stress-strain behavior as that predicted from the VL or Ogden models. However, the polynomial form does give the same planar response when the VL-generated planar data are added to the uniaxial data set and fit with the polynomial strain-energy function. This shows how the VL function can provide a reasonable means of estimating the three-dimensional strain-energy density function when only uniaxial data are available.

Original languageEnglish
Pages (from-to)837-848
Number of pages12
JournalJournal of Applied Polymer Science
Issue number4
StatePublished - 2001


  • Earthquake bearing
  • Finite element analysis
  • Mechanical properties
  • Mooney-Rivlin material
  • Ogden function
  • Rivlin expansion
  • Rubber
  • Strain energy function
  • Valanis-Landel function


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