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Literature Cited
A. A. Il'yushin and P. M. Ogibalov, “Quasilinear theory of viscoelasticity and the small parameter method,” Mekh. Polim., No. 8, 170–189 (1966).
A. A. Il'yushin, Plasticity. Principles of the General Mathematical Theory [in Russian], Izd. Akad. Nauk SSSR, Moscow (1963).
R. Christensen, Introduction to Viscoelasticity Theory [Russian translation], Mir, Moscow (1974).
I. K. Senchenkov, V. G. Karnaukhov, and V. I. Kozlov, “On the theory of the governing equations of nonlinear thermoviscoelasticity for periodic strain,” Prikl. Mekh.,22, No. 8, 97–104 (1986).
I. K. Senchenkov, V. G. Karnaukhov, V. I. Kozlov, and O. P. Chervinko, “On the question of simple strain in problems on vibrations and heating of nonlinear viscoelastic bodies,” Prikl. Mekh.,22, No. 9, 82–90 (1986).
I. K. Senchenkov, “Approximate formulation of the coupled problems of nonlinear thermoviscoelasticity for harmonic actions,” Prikl. Mekh.,21, No. 2, 91–99 (1985).
J. P. Boehler and J. Raclin, “Representation irreductibles des functions tensorielles non-polynomiales de deux tenseurs symmetriques dans quelques cas d'anisotropie,” Arch. Mech. Stosow.,23, No. 3, 431–444 (1977).
G. F. Smith, “On isotropic function of symmetric tensors, skew-symmetric tensors and vectors,” Int. J. Eng. Sci.,9, No. 10, 899–916 (1971).
Additional information
Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 23, No. 9, pp. 90–98, September, 1987.
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Senchenkov, I.K. Interpretation of the physical equations of nonlinear media under cyclic strain. Soviet Applied Mechanics 23, 878–885 (1987). https://doi.org/10.1007/BF00887794
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DOI: https://doi.org/10.1007/BF00887794