Poisson's ratio and the incompressibility relation for various strain measures with the example of a silica-filled SBR rubber in uniaxial tension tests

Polymer Testing

Volumn 29, Issue 3, 2010, Pages 310-318

  Starkova, O ^a   Aniskevich, A ^a  

^a UNIVERSITY OF LATVIA   (Latvia)

Author keywords

Hencky strain; Incompressibility; Poisson's ratio; Rubber; Strain measure; Volume strain

Indexed keywords

INCOMPRESSIBLE MATERIAL; ISOTROPIC MATERIALS; LONGITUDINAL STRAIN; LONGITUDINAL STRESS; MATERIAL CONSTANT; POISSON'S RATIO; PRACTICAL IMPORTANCE; RUBBER STRAIN; SBR RUBBER; SILICA-FILLED RUBBERS; STRAIN INVARIANTS; STRAIN MEASURES; STRETCH RATIO; UNIAXIAL TENSIONS; VOLUME STRAIN;

ELASTICITY; POISSON DISTRIBUTION; POISSON EQUATION; POISSON RATIO; RUBBER; SILICA; TENSILE TESTING;

STRAIN;

EID: 77649183266     PISSN: 01429418     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.polymertesting.2009.12.005     Document Type: Article

References (30)

1. Timoshenko S., and Goodier J.N. Theory of Elasticity (1970), McGraw-Hill, New York
2. Gorelik M., Feldman G.I., and Maiskaya M.A. Variability of Poisson's ratio in investigating the state of stress of rubber parts. Mech. Compos. Mater. 3 4 (1967) 752
3. Gloaguen J.M., and Lefebvre J.M. Plastic deformation behaviour of thermoplastic/clay nanocomposites. Polymer 42 13 (2001) 5841
4. Dean G., and Read B. Modelling the behaviour of plastics for design under impact. Polym. Test. 20 (2001) 677
5. Parsons E., Boyce M.C., and Parks D.M. An experimental investigation of the large-strain tensile behavior of neat and rubber-toughened polycarbonate. Polymer 45 (2004) 2665
6. O'Brien D.J., Sottos N.R., and White S.R. Cure-dependent viscoelastic Poisson's ratio of epoxy. Exp. Mech. 47 2 (2007) 237
7. Giannis S, The mechanical and physical behaviour of aircraft fuel tank sealants, PhD thesis, University of Bristol, 2005.
8. Quatravaux T., Elkoun S., et al. Experimental characterization of the volume strain of poly(vinylidene fluoride) in the region of homogeneous plastic deformation. J. Polym. Sci. Pol. Phys. 40 22 (2002) 2516
9. Addiego F., Dahoun A., et al. Characterization of volume strain at large deformation under uniaxial tension in high-density polyethylene. Polymer 47 12 (2006) 4387
10. Cangemi L., Elkoun S., et al. Volume strain changes of plasticized poly(vinylidene fluoride) during tensile and creep tests. J. Appl. Polym. Sci. 91 3 (2004) 1784
11. Elkoun S., G'Sell C., et al. Characterization of volume strain of poly(vinylidene fluoride) under creep test. J. Polym. Sci. Pol. Phys. 40 (2002) 1754
12. G'Sell C., Hiver J.M., and Dahoun A. Experimental characterization of deformation damage in solid polymers under tension, and its interrelation with necking. Int. J. Solids Struct. 39 13 (2002) 3857
13. Lazzeri A., Thio Y.S., and Cohen R.E. Volume strain measurements on CaCO3/polypropylene particulate composites: the effect of particle size. J. Appl. Polym. Sci. 91 (2004) 925
14. Amin A.S., Alam M.S., and Okui Y. Measurement of lateral deformation in natural and high damping rubbers in large deformation uniaxial tests. J. Test. Eval. 31 6 (2003)
15. Theocaris P.S. Creep and relaxation contraction ratio of linear viscoelastic materials. J. Mech. Phys. Solids 12 3 (1964) 125
16. Hilton H.H. Implications and constraints of time-independent Poisson ratios in linear isotropic and anisotropic viscoelasticity. J. Elasticity 63 3 (2001) 221
17. Tschoegel N.W., Knauss W.G., and Emri I. Poisson's ratio in linear viscoelasticity - a critical review. Mech. Time-Depend Mater. 6 (2002) 3
18. Lakes R.S., and Wineman A. On Poisson's ratio in linearly viscoelastic solids. J. Elasticity 85 (2006) 45
19. Smith C.W., Wooton R.J., and Evans K.E. Interpretation of experimental data for Poisson's ratio of highly nonlinear materials. Exp Mech 39 4 (1999) 356
20. Lakes R.S. Foam structures with a negative Poisson's ratio. Science 235 (1987) 1038
21. Beatty M.F., and Stalnaker D.O. The Poisson function of finite elasticity. J. Appl. Mech. ASME Trans. 53 4 (1986) 807
22. Cheng M., and Chen W. Experimental investigation of the stress-stretch behaviour of EPDM rubber with loading rate effects. Int. J. Solids Struct. 40 (2003) 4749
23. Fröhlich J., Niedermeier W., and Luginsland H.D. The effect of filler-filler and filler-elastomer interaction on rubber reinforcement. Composites A 36 (2005) 449
24. Gauthier C., Reynaud E., et al. Analysis of the non-linear viscoelastic behaviour of silica filled styrene butadiene rubber. Polymer 45 (2004) 2761
25. Sedov L.I. Continuum Mechanics Vol. 1 (1976), Nauka, Moskow (in Russian)
26. Truesdell C.A. A First Course in Rational Continuum Mechanics. Part. I (1977), Academic Press, New York
27. Reiner M. Rheology (1958), Springer, Berlin
28. Vinogradov G.V., and Malkin A.J. Rheology of Polymers (1977), Khimija, Moscow (in Russian)
29. Seth B.R. Generalized strain measure with applications to physical problems. In: Abir D., and Reiner M. (Eds). Second-Order Effects in Elasticity, Plasticity and Fluid Dynamics (1964), Pergamon Press, Oxford 162-172
30. Aniskevich A., and Kalnroze Z. Mater. Technol. Instrum. 13 (2008) 105 (in Russian)