Abstract
The dependences of the coefficients of reversible thermal expansion on the tensile stress and the temperature dependences of the elastic modulus are measured for solids with different structures, such as a metal, rigid-chain oriented polymers, and a flexible-chain oriented polymer-poly(ethylene) in the devitrified state. For these materials, the elastic moduli differ by several orders of magnitude, whereas the thermal expansion coefficients can differ not only in magnitude but also in sign. It is found that, for a solid, the derivative of the thermal expansion coefficient with respect to the stress is close to the derivative of the reciprocal of the elastic modulus with respect to the temperature. The inference is made that these parameters do not depend on the specific features of the solids under investigation. Calculations are performed for several mechanisms of thermal and stress deformations of solids with different structures. The results of these calculations are in reasonable agreement with experimental data.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Physical Quantities: A Handbook, Ed. by I. S. Grigor’ev and E. Z. Meilikhov (Énergoatomizdat, Moscow, 1991).
Yu. K. Godovskii, Thermal Physics of Polymers (Khimiya, Moscow, 1982).
S. I. Novikova, Thermal Expansion of Solids (Nauka, Moscow, 1974).
N. F. Kunin and V. N. Kunin, Fiz. Met. Metalloved. 5(1), 173 (1957).
A. Nadai, Theory of Flow and Fracture of Solids, 2nd ed. (McGraw-Hill, New York, 1963; Mir, Moscow, 1969), Vol. 2.
Ya. I. Frenkel, Introduction to the Theory of Metals (GITTL, Moscow, 1948).
I. M. Lifshitz, Zh. Éksp. Teor. Fiz. 22(4), 475 (1952).
F. C. Chen, C. L. Choy, and K. Young, J. Polym. Sci., Polym. Phys. Ed. 19(12), 2313 (1980).
A. I. Slutsker, V. L. Gilyarov, G. Dadobaev, L. A. Laius, I. V. Gofman, and Yu. I. Polikarpov, Fiz. Tverd. Tela (St. Petersburg) 44(5), 923 (2002) [Phys. Solid State 44, 964 (2002)].
L. R. G. Treloar, Polymer, No. 1, 95 (1960).
K. Bunn, Trans. Faraday Soc., No. 35, 482 (1939).
F. C. Chen, C. L. Choy, and K. Young, J. Polym. Sci., Polym. Phys. Ed. 19(2), 335 (1981).
M. V. Vol’kenshtein, Configurational Statistics of Polymeric Chains (Akad. Nauk SSSR, Moscow, 1959; Interscience, New York, 1963).
A. I. Slutsker, V. L. Gilyarov, L. A. Laius, I. V. Gofman, Yu. I. Polikarpov, and B. A. Averkin, in Nonlinear Problems in Mechanics and Physics of Strained Solids (S.-Peterb. Gos. Univ., St. Petersburg, 2002), No. 5.
Author information
Authors and Affiliations
Additional information
__________
Translated from Fizika Tverdogo Tela, Vol. 46, No. 6, 2004, pp. 1115–1122.
Original Russian Text Copyright © 2004 by La\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \)us, Slutsker, Gofman, Gilyarov.
Deceased.
Rights and permissions
About this article
Cite this article
Laius, L.A., Slutsker, A.I., Gofman, I.V. et al. Correlation between characteristics of thermal and stress reversible deformations in solids with different structures. Phys. Solid State 46, 1149–1157 (2004). https://doi.org/10.1134/1.1767260
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1767260