%0 Journal Article
%T Continuum Constitutive Modeling for  Isotropic Hyperelastic Materials
%A Fuzhang Zhao
%J Advances in Pure Mathematics
%P 571-582
%@ 2160-0384
%D 2016
%I Scientific Research Publishing
%R 10.4236/apm.2016.69046
%X The partial differential equation for isotropic hyperelastic constitutive models has been postulated and derived from the balance between stored energy and stress work done. The partial differential equation as a function of three invariants has then been solved by Lie group methods. With geometric meanings of deformations, the general solution boils down to a particular three-term solution. The particular solution has been applied for several isotropic hyperelastic materials. For incompressible materials, vulcanized rubber containing 8% sulfur and Entec Enflex S4035A thermoplastic elastomer, three coefficients have been determined from uniaxial tension data and applied to predict the pure shear and equibiaxial tension modes. For a slightly compressible rubber material, the coefficients have also been extracted from the confined volumetric test data.
%K Continuum Constitutive Modeling
%K Hyperelastic Material
%K Ellipsoidal Deformation
%K Stretch
%K Stored Energy Function
%K Stress Work Done
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=69372