The relation between the Valanis-Landel and classical strain-energy functions

International Journal of Non-Linear Mechanics

Volumn 41, Issue 1, 2006, Pages 141-145

  Rivlin, Ronald S ^a  

^a Stanford University   (United States)

Author keywords

Finite elasticity; Isotropic; Strain energy; Valanis Landel

Indexed keywords

ELASTICITY; ENERGY ABSORPTION; INCOMPRESSIBLE FLOW; POLYNOMIAL APPROXIMATION;

FINITE ELASTICITY; ISOTROPIC; PRINCIPAL EXTENSION RATIOS; STRAIN-ENERGY; VALANIS-LANDEL;

STRAIN;

EID: 29144529095     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2005.05.010     Document Type: Article

References (7)

1. R.S. Rivlin, and D.W. Saunders Large elastic deformations of isotropic materials, VII. Experiments on the deformation of rubber Philos. Trans. R. Soc. London A 243 1948 251 288 (Reprinted in Collected Papers of R.S. Rivlin, vol. 1, pp. 157-194, G.I. Barenblatt, D.D. Joseph (Eds.), Springer, New York, 1997)
2. K.C. Valanis, and R.F. Landel The strain-energy function of a hyperelastic material in terms of the extension ratios J. Appl. Physics 38 1967 2997 3002
3. Y. Obata, S. Kawabata, and H. Kawai Mechanical properties of natural rubber vulcanizates in finite deformation J. Polymer Sci. A2 8 1970 903 919
4. 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
5. K.N. Sawyers, and R.S. Rivlin The strain-energy function for elastomers Trans. Soc. Rheol. 20 1976 545 557 (Reprinted in Collected Papers of R.S. Rivlin, vol. 1, pp. 405-417, G.I. Barenblatt, D.D. Joseph (Eds.), Springer, New York, 1997)
6. 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 Q. Appl. Math. 44 1986 309 311
7. J.V. Uspensky Theory of Equations 1948 MacMillan New York