Skip to main content
Log in

Time-dependent poisson’s ratio of polypropylene compounds for various strain histories

  • Published:
Mechanics of Time-Dependent Materials Aims and scope Submit manuscript

Abstract

Due to the viscoelastic behavior of polymers mechanical properties are strongly affected by the loading history. To obtain the time-dependent Poisson’s ratio without further data manipulation, stress relaxation tests have to be carried out. Only few results for viscoelastic materials have been published to date, but the theory of Poisson’s ratio in the framework of linear viscoelasticity has received some attention with respect to loading histories other than relaxation, i.e. creep and constant rate of strain tests.

The main objective of this work is to compare the potential of different testing methods to determine Poisson’s ratio. Transverse and axial strain have been measured in relaxation tests, creep experiments and displacement rate controlled tensile tests. Relaxation tests are evaluated accounting for the finite loading time and the results are compared with those of tensile creep and displacement rate controlled tensile tests. An optimization based method to determine linear viscoelastic material functions developed previously is applied to calculate Poisson’s ratio.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Arzouminidis, G.A., Liechti, K.M.: Linear viscoelastic property measurement and its significance for some nonlinear viscoelasticity models. Mech. Time-Depend. Mater. 7(3–4), 209–250 (2003)

    Article  Google Scholar 

  • Deng, T.H., Knauss, W.G.: The temperature and frequency dependence of the bulk compliance of poly(vinyl acetate). a re-examination. Mech. Time-Depend. Mater. 1, 33–49 (1997)

    Article  Google Scholar 

  • Hilton, H.H.: Implications and constraints of time-independent poisson ratios in linear isotropic and anisotropic viscoelasticity. J. Elast. 63(3), 221–251 (2001)

    Article  MATH  Google Scholar 

  • Jerabek, M., Major, Z., Renner, K., Móczó, J., Pukánszky, B., Lang, R.W.: Filler/matrix-debonding and micro-mechanisms of deformation in particulate filled polypropylene composites under tension. Polymer 51(9), 2040–2048 (2010). doi:10.1016/j.polymer.2010.02.033

    Article  Google Scholar 

  • Jerabek, M., Tscharnuter, D., Major, Z., Ravi-Chandar, K., Lang, R.W.: Relaxation behavior of neat and particulate filled polypropylene in uniaxial and multiaxial compression. Mech. Time-Depend. Mater. 14(1), 47–68 (2010a)

    Article  Google Scholar 

  • Jerabek, M., Major, Z., Lang, R.W.: Strain determination of polymeric materials using digital image correlation. Polym. Test. 29(3), 407–416 (2010b)

    Article  Google Scholar 

  • Jerabek, M., Major, Z., Lang, R.W.: Uniaxial compression testing of polymeric materials. Polym. Test. 29(3), 302–309 (2010c)

    Article  Google Scholar 

  • Knauss, W.G., Emri, I.J.: Non-linear viscoelasticity based on free-volume considerations. Comput. Struct. 13, 123–128 (1981)

    Article  MATH  Google Scholar 

  • Knauss, W.G., Zhao, J.: Improved relaxation time coverage in ramp-strain histories. Mech. Time-Depend. Mater. 11(3–4), 199–216 (2007)

    Article  Google Scholar 

  • Lu, H., Zhang, X., Knauss, W.G.: Uniaxial, shear and poisson relaxation and their conversion to bulk relaxation: Studies on poly(methyl methacrylate). Polym. Eng. Sci. 37(6), 1053–1063 (1997)

    Article  Google Scholar 

  • Ma, Z., Ravi-Chandar, K.: Confined compression: a stable homogeneous deformation for constitutive characterization. Exp. Mech. 40(1), 38–45 (2000)

    Article  Google Scholar 

  • O’Brien, D.J., Sottos, N.R., White, S.R.: Cure-dependent viscoelastic poisson’s ratio of epoxy. Exp. Mech. 47(2), 237–249 (2007)

    Article  Google Scholar 

  • Qvale, D., Ravi-Chandar, K.: Viscoelastic characterization of polymers under multiaxial compression. Mech. Time-Depend. Mater. 8(3), 193–214 (2004)

    Article  Google Scholar 

  • Sane, S.B., Knauss, W.G.: On interconversion of various material functions of pmma. Mech. Time-Depend. Mater. 5, 325–343 (2001)

    Article  Google Scholar 

  • Sorvari, J., Malinen, M.: Determination of the relaxation modulus of a linearly viscoelastic material. Mech. Time-Depend. Mater. 10, 125–133 (2006)

    Article  Google Scholar 

  • Steinberger, R., Vezer, S., Major, Z., Lang, R.W.: Testing system for the creep characterization of polymers. In: Proceedings of the 2006 Sem Annual Conference and Exposition on Experimental and Applied Mechanics 2006, vol. 4, pp. 1767–1772 (2006)

    Google Scholar 

  • Tscharnuter, D., Jerabek, M., Major, Z., Lang, R.W.: On the determination of the relaxation modulus of pp compounds including ramp strain loading. Mech. Time-Depend. Mater. (2010, submitted). doi:10.1007/s11043-010-9119-4

  • Tschoegl, N.W., Knauss, W., Emri, I.: Poisson’s ratio in linear viscoelasticity—a critical review. Mech. Time-Depend. Mater. 6(1), 3–51 (2002)

    Article  Google Scholar 

  • van der Varst, P.G.T., Kortsmit, W.G.: Notes on the lateral contraction of linear isotropic visco-elastic materials. Arch. Appl. Mech. 62(5), 338–346 (1992)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Daniel Tscharnuter.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tscharnuter, D., Jerabek, M., Major, Z. et al. Time-dependent poisson’s ratio of polypropylene compounds for various strain histories. Mech Time-Depend Mater 15, 15–28 (2011). https://doi.org/10.1007/s11043-010-9121-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11043-010-9121-x

Keywords

Navigation