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Combining stress relaxation and rheometer test results in modeling a polyurethane stopper

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Abstract

In general, polymers show time-dependent stress-strain responses. The responses can be measured in a time-based test (e.g. a stress relaxation test) or a frequency-based test (e.g. a rheometer test). In a stress relaxation test, it is easy to measure the long-term stress (i.e. the low frequency response) accurately, but it is very difficult, if not impossible, to measure the short-term stress (i.e. the high frequency response) accurately. In contrast, in a rheometer test it is easy to measure the high frequency response by lowering the temperature around the specimen, but it is almost impossible to measure the low frequency response by increasing the temperature over a threshold. Thus, in this paper, a method to combine the two test results was proposed to model a polyurethane stopper for a wide range of frequencies. This method was proven to be valid by showing that simulation results for a drop test and a torque test were in good agreement with test data for a polyurethane stopper used in a robot.

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References

  1. ABAQUS, 2007, ABAQUS Theory Manual, version 6.5-1.

  2. J. Bergström, Ph.D., 2005, Calculation of Prony Series Parameters From Dynamic Frequency Data.

  3. M. C. Boyce, S. Socrate and P. G. Llana, Constitutive model for the finite deformation Stress-Strain behavior of poly(ethylene terephthalate) above the glass transition, Elsevier, 41(6) (1999) 2183–2201.

    Google Scholar 

  4. T. Chen, Determining a Prony Series for a Viscoelastic Material from Time Varying Strain Data, US Army Research Laboratory Vehicle Technology Directorate Langley Research Center Hampton Virginia, 2000.

  5. J. H. Choi, H. J. Kang, H. Y. Jeong, T. S. Lee and S. J. Yoon, Heat Aging Effect on the Material Property and the Fatigue Life of Vulcanized Natural Rubber and Fatigue Life Prediction Equation, Journal of Mechanical Science and Technology, 19 (2005) 1229–1239.

    Article  Google Scholar 

  6. T. Dalrymple, J. Choi and K. Miller, Elastomer Rate-Dependence: A Testing and Material Modeling Methodology, Axel Products Inc, 172nd Technical Meeting of the Rubber division of the American Chemical Society (2007) 1547–1977.

  7. C. Hepburn, 1982, Polyurethane elastomers, Applied Science, London.

    Google Scholar 

  8. M. Hjiaj, G. de Saxce and Z. Mroz, Influence of frictional anisotropy on contacting surfaces during Loading/Unloading cycles, International Journal of Non-Linear Mechanics, 41 (2006) 936–948.

    Article  MATH  Google Scholar 

  9. V. H. Kenner, B. D. Harper and V. Y. Itkin, Stress relaxation in molding compounds, Journal of Electronic Materials, 26 (1997) 821–826.

    Article  Google Scholar 

  10. A. S. Khan and O. Lopez-Pamies, Time and Temperature dependent response and relaxation of a soft polymer, International Journal of Plasticity, 18 (2001) 1359–1372.

    Article  Google Scholar 

  11. B. Magnain and J. M. Cros, Solution of large deformation impact problems with friction between blatz-ko hyperelastic bodies, International Journal of Engineering Science, 44 (2006) 113–126.

    Article  MathSciNet  MATH  Google Scholar 

  12. J. Michael, Unilateral compression of rubber, Journal of Applied Physics, 26 (1955) 1104–1106.

    Article  Google Scholar 

  13. R. W. Ogden and D. G. Roxburgh, A Pseudo-elastic model for the mullins effect in filled rubber, The Royal Society, Mathematical, Physical and Engineering Science, 455 (1998) 2861–2877.

    Article  MathSciNet  Google Scholar 

  14. L. Y. Robert and L. Suckhong, Short-term and Long-term aging behavior of rubber modified asphalt paving mixture, Transportation Research Record, 1530 (1996) 11–17.

    Article  Google Scholar 

  15. R. J. Scavuzzo, Oscillating stress on viscoelastic behavior of thermoplastic polymers, Journal of Pressure Vessel Technol., 122 (2008) 386–389.

    Article  Google Scholar 

  16. D. W. Schaffner, The application of the wlf equation to predict lag time as a function of temperature for three psychrotrophic bacteria, International Journal of Food Microbiol., 27 (1994) 107–115.

    Article  Google Scholar 

  17. M. L. Slanik, J. A. Nemes, M. J. Potvin and J. C. Piedboeuf, Time domain finite element simulations of damped multilayered beams using a prony series representation, Mechanics of Time-Dependent Materials, 4 (2000) 211–230.

    Article  Google Scholar 

  18. K. W. Song and G. S. Chang, Rheological Behavior of Viscoelastic Semi-Solid Ointment Base (vaseline) in Oscillatory Shear Flow Fields, Journal of Pharmaceutical Investigation, 36 (2006) 31–38.

    Article  Google Scholar 

  19. L. C. E. Strulk, DSM Research, On the Van Krevelen / Hoftyzer Relationship for the High-Temperature Limiting Viscosities of Polymer Melts, Polymer, 38 (1997) 1477–1479.

    Article  Google Scholar 

  20. C. Vallee, D. Fortune and F. Peyraut, The 3e hyperelastic model applied to the modeling of 3D impact problems, Journal of Finite Element in Analysis and Design, 43 (2006) 1927–1941.

    Google Scholar 

  21. M. L. William, R. F. Landel and J. D. Ferry, The Temperature dependence of relaxation mechanisms in amorphous polymer and other glass-forming liquids, Journal of American Chem. Soc., 77 (1995) 3701–3706.

    Article  Google Scholar 

  22. H. H. Winter, Analysis of Dynamic mechanical data: inversion into a relaxation time spectrum and consistency check, Journal of Non-Newtonian Fluid Mechanics, 68 (1996) 225–239.

    Article  Google Scholar 

  23. L. M. Yang, V. P. W. Shim and C. T. Lim, A viscohyperelastic approach to modelling the constitutive behaviour of rubber, International Journal of Impact Engineering, 24 (1999) 545–560.

    Article  Google Scholar 

  24. J. Zhang, N. Kikuchi, V. Li, A. Yee, and G. Nusholtz, Constitutive modeling of polymeric foam material subjected to dynamic crash loading, International Journal of Impact Engineering, 21 (1997) 369–386.

    Article  Google Scholar 

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Correspondence to H. -Y. Jeong.

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Recommended by Associate Editor Seong Beom Lee

Kyukwon Bang received his master’s degree in Mechanical Engineering at Sogang University. He currently works at Automotive R&D division, Hyundai Motor Group, and conducts projects on the prediction of material properties via CAE and experiments, and design of all-in-one strut system.

Hyun-Yong Jeong is a professor at the Department of Mechanical Engineering, Sogang University. He conducted FE simulations and tests related to automotive safety at Ford Motor Company and Autoliv Automotive Safety Products. Since he came to Sogang University, he has studied material modeling, automotive safety and design of experiments.

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Bang, K., Jeong, H.Y. Combining stress relaxation and rheometer test results in modeling a polyurethane stopper. J Mech Sci Technol 26, 1849–1855 (2012). https://doi.org/10.1007/s12206-012-0432-5

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  • DOI: https://doi.org/10.1007/s12206-012-0432-5

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