The Valanis-Landel strain-energy function

Journal of Elasticity

Volumn 73, Issue 1-3, 2003, Pages 291-297

  Rivlin, Ronald S ^a  

^a LEHIGH UNIVERSITY   (United States)

Author keywords

Finite elasticity; Isotropic; Strain energy; Valanis Landel

Indexed keywords

DEFORMATION; FUNCTIONS; RUBBER; STRAIN; TORSIONAL STRESS; VULCANIZATION;

FINITE ELASTICITY; ISOTROPIC; STRAIN-ENERGY; VALANIS-LANDEL;

ELASTICITY;

EID: 3543058107     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:ELAS.0000029985.16755.4e     Document Type: Article

References (8)

1. R.S. Rivlin, Large elastic deformations of isotropic materials, IV. Further development of the general theory. Philos. Trans. Roy. Soc. London A 241 (1940) 368-397. Reprinted in G.I. Barenblatt and D.D. Joseph (eds), Collected Papers of R.S. Rivlin, Vol. 1. Springer. New York (1997) pp. 90-108.
2. R.S. Rivlin, Large elastic deformations of isotropic materials, IV. Further development of the general theory. Philos. Trans. Roy. Soc. London A 241 (1940) 368-397. Reprinted in G.I. Barenblatt and D.D. Joseph (eds), Collected Papers of R.S. Rivlin, Vol. 1. Springer. New York (1997) pp. 90-108.
3. K.C. Valanis and R.F. Landel, The strain-energy function for a hyperelastic material in terms of extension ratios. J. Appl. Phys. 11 (1978) 1969-1978.
4. R.W. Ogden, Non-Linear Elastic Deformations. Dover, New York (1997).
5. D.F. Jones and L.R.G. Treloar, The properties of rubber in pure homogeneous strain. J. Phys. D: Appl. Phys. 8 (1975) 1285-1304.
6. K.N. Sawyers and R.S. Rivlin, The strain-energy function for elastomers. Trans. Soc. Rheology 20 (1976) 545-557. Reprinted in G.I. Barenblatt and D.D. Joseph (eds), Collected Papers of R.S. Rivlin, Vol. 1. Springer, New York (1997) pp. 405-417.
7. K.N. Sawyers and R.S. Rivlin, The strain-energy function for elastomers. Trans. Soc. Rheology 20 (1976) 545-557. Reprinted in G.I. Barenblatt and D.D. Joseph (eds), Collected Papers of R.S. Rivlin, Vol. 1. Springer, New York (1997) pp. 405-417.
8. K.N. Sawyers, Comments on the paper "Determination of the stretch and rotation factors in the polar decomposition of the deformation gradient" by A. Hoger and D.E. Carlson. Quart. Appl. Math. 44 (1986) 309-311.