201
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

A New Stored Energy Function for Rubber Like Materials for Low Strains

&
Pages 402-416 | Received 21 Dec 2007, Accepted 14 Jun 2009, Published online: 19 Jun 2009

REFERENCES

  • Boyce , M. C. and Arruda , E. M. 2000 . Constitutive Models of Rubber Elasticity: A Review . Rubber Chem Technol , vol. 73 : 504 – 523 .
  • Lion , A. 1996 . A Constitutive Model for Carbon Black Filled Rubber Experimental Investigations and Mathematical Representation . Continuum Mech Thermodyn , vol. 8 : 153 – 169 .
  • Miller , K. 2000 . Testing Elastomers for Hyperelastic Material Models in Finite Element Analysis , Rept. Axel Products, Inc. Testing for Hyperelastic .
  • Ogden , R. W. 1972 . Large Deformation Isotropic Elasticity-on Correlation of Theory and Experiment for Incompressible Rubber Like Solids . Proc. R. Soc. Lond. A , vol. 328 : 567 – 583 .
  • Yeoh , O. H. 1990 . Characterization of Elastic Properties of Carbon-Black-Filled Rubber Vulcanizates . Rubber Chem Technol , vol. 63 : 792 – 805 .
  • ABAQUS . 2005 . ABAQUS version 6.6-1 Documentation , Providence, RI : ABAQUS Inc. .
  • Arruda , E. M. and Boyce , M. C. 1993 . A Three-Dimensional Constitutive Model for the Large Stretch Behavior of Rubber Elastic Materials . J Mech Physics Solids , vol. 41 : 389 – 412 .
  • Kilian , H. G. 1981 . Equation of State of Real Networks . Polymer , vol. 22 : 209 – 217 .
  • Holzapfel , G. A. 2000 . Nonlinear Solid Mechanics , John Wiley & sons. Ltd. .
  • Ogden , R. W. and Roxburgh , D. G. 1999 . A Pseudo-Elastic Model for the Mullins Effect in Filled Rubber . Proc. R. Soc. Lond. A , vol. 455 : 2861 – 2877 .
  • Qi , H. J. and Boyce , M. C. 2004 . Constitutive Model for Stretch-Induced Softening of the Stress-Strain Behavior of Elastomeric Materials . J. Mech. Physics Solids , vol. 52 : 2187 – 2205 .
  • Criscione , J. C. 2003 . Rivilin's Representation Formula is Ill-Conceived for the Determination of Response Functions via Equi-Biaxial Testing . J. Elasticity , vol. 70 : 129 – 147 .
  • Bergstrom , J. S. Constitutive Modeling of Elastomers—Accuracy of Predictions and Numerical Efficiency polymerFEM.com
  • Hartmann , S. and Neff , P. 2003 . Polyconvexity of Generalized Polynomial-Type Hyperelastic Strain Energy Functions for Near-Incompressibility . J Int Sol Struct , vol. 40 : 2767 – 2791 .
  • Ogden , R. W. , Saccomandi , G. and Sgura , I. 2004 . Fitting Hyperelastic Models to Experimental Data . Comput Mech , vol. 34 : 484 – 502 .
  • Kaliske , M. and Rothert , H. 1997 . On the Finite Element Implementation of Rubber-Like Materials at Finite Strains . Engineering Computations , vol. 14 ( 2 ) : 216 – 232 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.