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Interrelation between dynamic moduli and compliances in polymers

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Summary

Based on the fact that, for a large number of polymers, the lateral deformation in tension is a contraction and the volume dilatation must be positive, bounds were established for the values of the lateral contraction ratio functions in creep and relaxation. These bounds are that v *=(v′ -i v″) must be positive and smaller than 0.5.

It was shown in the paper that in the case when v* is positive, the loss tangents for various modes of deformation in relaxation or creep follow the relations:

  1. a)

    For relaxation: tan δ G > tan δ E > tan δ m > tan δ K > tan δ vr

  2. b)

    For creep: tan δ j > tan δ D > tan δM > tan δ B > tan δ vc where the indices G and J correspond to a shear mode of deformation in relaxation or creep, the indices E and D to extension, the index M to longitudinal bulk, the indices K and B to bulk deformation and v r and v c to the LCR functions in relaxation or creep.

Extensive experimental evidence with various types of polymers submitted to different modes of loading corroborates with the results of the theory.

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  1. P. S. Theocaris

    Present address: Laboratory for Testing Materials of the National Technical University, 625, Athens, Greece

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    Theocaris, P.S. Interrelation between dynamic moduli and compliances in polymers. Kolloid-Z.u.Z.Polymere 235, 1182–1188 (1969). https://doi.org/10.1007/BF01542525

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    • DOI: https://doi.org/10.1007/BF01542525

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