Calculation results are presented for the form factor of a flat ring in a linear formulation of the theory of elasticity. The form factor accounts for the influence of the sample dimensions and Poisson’s ratio on the modulus of elasticity being measured. The two-dimensional problem of elastic deformation of a ring with boundary conditions specified for its entire surface was solved. Six flat rings of various sizes were made and their modulus of elasticity was measured to validate the results of calculations. The dispersion of values of Young’s modulus, corrected by the calculated form factor, did not exceed 2.5%, which corresponds to the range of error of measurement methods for the modulus of elasticity.
Similar content being viewed by others
References
GOST 9550–81, Plastics. Methods of Determining the Modulus of Elasticity for Stretching, Compressing, and Bending.
V. M. Kulik and A. V. Boyko, “Form factor of a compressed cylindrical sample,“ Izmer. Tekhn., No. 8, 36–38 (2014).
V. M. Kulik and A. V. Boyko, “Form factor of a hollow cylindrical sample with shift deformation,“ Izmer. Tekhn., No. 6, 15–17 (2015).
L. D. Landau L. and E. M. Lifshits, Theory of Elasticity, Nauka, Moscow (1987).
M. H. Sadd, Elasticity: Theory, Applications, and Numerics, Elsevier (2005).
A. V. Boyko and V. M. Kulik, “On one method of experimentally finding the dynamic viscoelastic properties of a cylindrical sample,” Prikl. Mat. Mekh., 77, No. 1, 138–142 (2012).
V. M. Kulik, B. N. Semenov, A. V. Boiko, et al., “Measurement of dynamic properties of viscoelastic materials,” Exp. Mech., 49, No. 3, 417–425 (2009).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izmeritel’naya Tekhnika, No. 1, pp. 28–30, January, 2017.
Rights and permissions
About this article
Cite this article
Kulik, V.M., Boiko, A.V. Form Factor of Flat Rings. Meas Tech 60, 37–41 (2017). https://doi.org/10.1007/s11018-017-1146-y
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11018-017-1146-y