Abstract
A nonlinear, two constant stress-deformation form is deduced for elastic materials. At very large stretch ratios of greater than about 3 or 4, the model exhibits the strain stiffening behavior common to many elastomers. The constitutive form is very simple since the two material constants enter it as multiplying constants times certain nonlinear deformation terms. The model is evaluated with respect to data upon natural rubber under both uniaxial and bi-axial stress conditions. The model is also used to evaluate data obtained from a nonlinear membrane inflation experiment. The latter experimental capability and corresponding data are new.
References
Ogden RW (1972) Proc Roy Soc A326:565
Rivlin RS (1948) Phil Trans Roy Soc A241:379
Christensen RM (1980) J Appl Mech 47:762
Treloar LRG (1975) The Physics of Rubber Elasticity, 3rd ed. Clarendon Press, Oxford
Christensen RM, Feng WW (1986) Nonlinear Analysis of the Inflation of an Initially Flat, Circular, Elastic Disk. J Rheology, in press
Green AE, Adkins JE (1960) Large Elastic Deformation. Clarendon Press, Oxford
Yang WH, Feng WW (1970) J Appl Mech 37:1002
Author information
Authors and Affiliations
Additional information
Work performed under the auspices of the U.S. Department of Energy by the Lawrence Livermore National Laboratory under Contract W-7405-Eng-48.
Rights and permissions
About this article
Cite this article
Christensen, R.M., Feng, W.W. Evaluation of a simple nonlinear elastic constitutive form. Rheol Acta 25, 440–443 (1986). https://doi.org/10.1007/BF01331516
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01331516