Stored energy function and compressibility of compressible rubberlike materials under large strain

作者: Stevens T. J. Peng , Robert F. Landel

DOI: 10.1063/1.321936

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摘要: By using new invariants in the theory of finite elasticity an expression is obtained for stored energy function slightly compressible materials which effects distortional change (change shape) and volume are clearly separated. The volume‐related terms expressed as a third invariant Γ3, classical compressibility K0, induced anisotropy effective due to large deformations. After evaluating terms, data on pressure, volume, uniaxial stress‐strain, ΔV/V0 versus strain natural rubber from literature, it shown that contribution total stress observed simple tensile experiment can be separated contribution, even at strains.

参考文章(14)
J. G. Oldroyd, A. E. Green, J. E. Adkins, Large Elastic Deformations and Non-Linear Continuum Mechanics The Mathematical Gazette. ,vol. 46, pp. 87- ,(1962) , 10.2307/3613144
K. C. Valanis, R. F. Landel, The Strain‐Energy Function of a Hyperelastic Material in Terms of the Extension Ratios Journal of Applied Physics. ,vol. 38, pp. 2997- 3002 ,(1967) , 10.1063/1.1710039
R. Grover, I. C. Getting, G. C. Kennedy, Simple Compressibility Relation for Solids Physical Review B. ,vol. 7, pp. 567- 571 ,(1973) , 10.1103/PHYSREVB.7.567
T.J Peng, R.F Landel, Stored Energy Function of Rubberlike Materials Derived from Simple Tensile Data Journal of Applied Physics. ,vol. 43, pp. 3064- 3067 ,(1972) , 10.1063/1.1661660
Louis J. Zapas, Viscoelastic behavior under large deformations Journal of Research of the National Bureau of Standards Section A: Physics and Chemistry. ,vol. 70A, pp. 525- 532 ,(1966) , 10.6028/JRES.070A.044
Yutaka Obata, Sueo Kawabata, Hiromichi Kawai, Mechanical properties of natural rubber vulcanizates in finite deformation Journal of Polymer Science Part A-2: Polymer Physics. ,vol. 8, pp. 903- 919 ,(1970) , 10.1002/POL.1970.160080607
L. R. G. Treloar, D. J. Montgomery, The physics of rubber elasticity ,(1949)
Ray A. Dickie, Thor L. Smith, Viscoelastic Properties of a Rubber Vulcanizate Under Large Deformations in Equal Biaxial Tension, Pure Shear, and Simple Tension Transactions of the Society of Rheology. ,vol. 15, pp. 91- 110 ,(1971) , 10.1122/1.549231
Francis Dominic Murnaghan, Finite Deformation of an Elastic Solid ,(1967)
Robert W. Penn, Volume Changes Accompanying the Extension of Rubber Transactions of the Society of Rheology. ,vol. 14, pp. 509- 517 ,(1970) , 10.1122/1.549176