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A torsion pendulum for the determination of shear modulus and damping around 1 Hz

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Summary

A description is given of an instrument for the measurements of the dynamic shear modulus,G, and the corresponding damping, tanδ, of solid polymeric materials. The instrument is suitable for the measurement of moduli in the range from 106 to 1010 newton/m2, tanδ values from 0.005 to 3 and frequencies between 0.1 and 20 Hz. The temperature of the specimen can be adjusted to any value between −180 and + 300 ‡C. The obtained accuracy is better than 5%. The accuracy of the measurement considerably decreases when tanδ is higher than 0.3.

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References

  1. Staverman, A. J. andF. Schwarzl, in:H. A. Stuart, Die Physik der Hochpolymeren, Band IV (Berlin-Göttingen-Heidelberg 1956).

  2. Schmieder, K. andK. Wolf, Kolloid-Z.127, 65–78 (1952).

    Article  Google Scholar 

  3. Ferry, J. D., Viscoelastic properties of polymers (New York 1961).

  4. Heijboer, J., Mechanical properties and molecular structure of organic polymers, Proc. Int. Congr. Physics Non-Crystalline Solids, Delft 1964, 231–254 (Amsterdam 1965).

  5. Bussink, J. andJ. Heijboer, The effects of methylgroups in ortho position to the COO-link on the dynamic mechanical relaxation of some aromatic polyesters, ibid. pp. 388–396.

  6. Heijboer, J., P. Dekking andA. J. Staverman, The secondary maximum in the mechanical damping of polymethyl methacrylate: Influence of temperature and chemical modification. Proc. Sec. Int. Congr. Rheology, Oxford, 1953, p. 123 (London 1954).

  7. Heijboer, J., Chem. Weekblad52, 481–490 (1965).

    Google Scholar 

  8. Heijboer, J., Kolloid-Z.148, 36–47 (1956).

    Article  Google Scholar 

  9. Heijboer, J., Kolloid-Z.171, 7–15 (1960).

    Article  Google Scholar 

  10. Schwarzl, F. R., H. W. Bree andC. J. Nederveen, Proceedings Fourth International Congress of Rheology (Providence 1963), E. H. Lee (Ed.), Vol. 3, pp. 241–263 (New York 1965).

  11. Dekking, P., Determination of dynamic mechanical properties of high polymers at low frequencies, thesis, Univ. of Leiden. 1961.

  12. Nielsen, L. E., Rev. Scientific Instrum.22, 690–693 (1951).

    Article  Google Scholar 

  13. Goens, E., Annalen der Physik5, 733–777 (1930).

    Google Scholar 

  14. Marvin, R. S., Ind. Eng. Chem.44, 696–702 (1952).

    Article  Google Scholar 

  15. Koppelmann, J., Kolloid-Z.144, 12–41 (1955).

    Article  Google Scholar 

  16. Illers, K. H. andH. Breuer, Kolloid-Z.176, 110–119 (1961).

    Article  Google Scholar 

  17. ISO/TC 61 - Plastics, Draft recommendation: testing of plastics with the torsion pendulum.

  18. DIN Vornorm 53445 Sept. 1959, DIN 53445 Nov. 1965, Torsionsschwingungsversuch.

  19. Timoshenko, S., Collected Papers pages 314–320 (London 1953). Ibid, Proc. London Math. Society Ser. 22, 389–397 (1922).

  20. Szabó, I., Höhere Technische Mechanik, pp. 264–274 (Berlin-Göttingen-Heidelberg 1960).

  21. Vogel, K. andG. W. Becker, Zur Berechnung des Schubmoduls aus Torsionsmessungen an Stabförmigen Proben mit rechteckigen Querschnitt, PTB Mitteilungen No.4, pp. 332–336, Figure 4 (Berlin 1965).

    Google Scholar 

  22. Nederveen, C. J., Frühjahrstagung N. W. Deutsche Phys. Gesellschaft (Bad Pyrmont 1963). Die LÄngenkorrektur der Einklemmung bei der Messung von Torsionsmoduln.

  23. Robertson, J. H., J. Sci. Instrum.40, 506–507 (1963).

    Article  Google Scholar 

  24. Szabó, I., Höhere Technische Mechanik, p. 260 (Berlin 1960).

  25. Sokolnikoff, I. S., Mathematical Theory of Elasticity, p. 132 (New York 1956).

  26. Ref. 1, p. 87.

  27. Brinkman, H. C., On the theory of free vibrations of linear viscoelastic materials, Central Laboratory Report No. CL 55/22 (1955).

  28. Markovitz, H., J. Appl. Phys.34, 21–25 (1963).

    Article  Google Scholar 

  29. Volterra, E., J. Appl. Mech.18, 273–279 (1952).

    Google Scholar 

  30. Heller, R. A. andC. J. Nederveen, to be published in the Transactions of the Society of Rheology, Volume10, part 2.

  31. Struik, L. C. E., Rheologica Acta6, 119–129 (1967).

    Article  Google Scholar 

  32. Bree, H. W., F. R. Schwarzl, L. C. E. Struik andC. W. van der Wal, Mechanical properties of filled elastomers, Specialized Conference K 35, 5e Congrès international d'acoustique (Liège/Belgique 1965).

  33. Struik, L. C. E. (private communication).

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Author notes

  1. C. J. Nederveen & C. W. van der Wal

    Present address: Centraal Laboratorium TNO, Delft, The Netherlands

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    1. C. J. Nederveen
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    2. C. W. van der Wal
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    Nederveen, C.J., van der Wal, C.W. A torsion pendulum for the determination of shear modulus and damping around 1 Hz. Rheol Acta 6, 316–323 (1967). https://doi.org/10.1007/BF01984628

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    • DOI: https://doi.org/10.1007/BF01984628

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