Application of Similarity to Anelasticity

Article metrics

Abstract

KE1 has shown that, when the internal friction and relaxation of rigidity for very pure aluminium are measured as functions of grain size (D), temperature (T) and frequency of vibration (ω), the effects of these three variables can be stated in terms of a single parameter : where H is an activation energy of 32,000 cal./mol. The exponential term represents2 the temperature variation of the coefficient of intergranular viscosity. This parameter has the disadvantage that it is not dimensionless, so that it is not possible to transfer the results of Ke's experiments to other metals. It is therefore of interest to apply dimensional analysis to this system in the attempt to derive a dimensionless criterion for the ratio of the relaxation time to the vibration time l/ω. Lord Rayleigh3 has pointed out that fundamental laws can frequently be derived by such dimensional analysis.

Access options

Rent or Buy article

Get time limited or full article access on ReadCube.

from$8.99

All prices are NET prices.

References

  1. 1

    Ke, T. S., Phys. Rev., 72, 41 (1947).

  2. 2

    Ke, T. S., Phys. Rev., 71, 533 (1947).

  3. 3

    Rayleigh, Nature, 95, 66 (1918).

  4. 4

    Zener, C. M., "Elasticity and Anelasticity of Metals", 43 (Chicago, 1948).

  5. 5

    Thring, M. W., Nature, 162, 193 (1948).

  6. 6

    Zener, C. M., Phys. Rev., 60, 906 (1941).

  7. 7

    Mott, N. F., Proc. Phys. Soc., 60, 391 (1948).

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

THRING, M. Application of Similarity to Anelasticity. Nature 163, 772–773 (1949) doi:10.1038/163772b0

Download citation

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.