Stored energy function and compressibility of compressible rubberlike materials under large strain
- 1 June 1975
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 46 (6) , 2599-2604
- https://doi.org/10.1063/1.321936
Abstract
By using new invariants in the theory of finite elasticity an expression is obtained for the stored energy function of slightly compressible materials in which the effects of the distortional change (change of shape) and of the volume change are clearly separated. The volume-related terms are expressed as a function of the third invariant Γ3, the classical compressibility K0, and an induced anisotropy of the effective compressibility which is due to the large deformations. After evaluating the terms, using data on pressure, volume, uniaxial stress-strain, and ΔV/V0 versus strain data on natural rubber from the literature, it is shown that the volume change contribution to the total stress observed in a simple tensile experiment can be clearly separated from the distortional contribution, even at finite strains.This publication has 9 references indexed in Scilit:
- Simple Compressibility Relation for SolidsPhysical Review B, 1973
- Stored Energy Function of Rubberlike Materials Derived from Simple Tensile DataJournal of Applied Physics, 1972
- Viscoelastic Properties of a Rubber Vulcanizate Under Large Deformations in Equal Biaxial Tension, Pure Shear, and Simple TensionTransactions of the Society of Rheology, 1971
- Volume Changes Accompanying the Extension of RubberTransactions of the Society of Rheology, 1970
- Mechanical properties of natural rubber vulcanizates in finite deformationJournal of Polymer Science Part A-2: Polymer Physics, 1970
- The Strain-Energy Function of a Hyperelastic Material in Terms of the Extension RatiosJournal of Applied Physics, 1967
- Viscoelastic behavior under large deformationsJournal of Research of the National Bureau of Standards Section A: Physics and Chemistry, 1966
- Compressibility of natural rubber at pressures below 500 kg/cm2Journal of Research of the National Bureau of Standards Section A: Physics and Chemistry, 1964
- Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubberPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1951