Abstract
The present status of the coupling problem in polymer mechanics is discussed. The coupled problems of thermoelasticity and thermoviscoelasticity are formulated and methods of solving them are examined.
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Literature cited
J. M. C. Duhamel, J. de l'école Polytechnique,15 (1837).
W. Nowacki, Dynamiczne Zagadnenia Termosprezystosci, Warsaw (1966).
A. A. Il'yushin and B. E. Pobedrya, Fundamentals of the Mathematical Theory of Thermoviscoelasticity [in Russian], Moscow (1970).
T. Alfrey, Mechanical Behavior of High Polymers, Interscience (1948).
P. M. Ogibalov and Yu. V. Suvorova, Mechanics of Reinforced Plastics [in Russian], Moscow (1965).
A. A. Il'yushin, Plasticity (Fundamentals of the General Mathematical Theory) [in Russian], Moscow (1963).
B. E. Pobedrya, in: Elasticity and Inelasticity [in Russian], Moscow (1971), No. 2, p. 273.
A. A. Il'yushin, Plasticity [in Russian], Moscow-Leningrad (1948).
A. V. Lykov, Theory of Heat Conduction [in Russian], Moscow (1967).
A. V. Pomerantsev, Thermal Stresses in Bodies of Revolution of Arbitrary Shape [in Russian], Moscow (1967).
L. D. Landau and E. M. Lifshits, Theory of Elasticity [in Russian], Moscow (1965).
J. H. Weiner, Quart. Appl. Math., No. 1, 15 (1957).
V. D. Kupradze and T. V. Burchuladze, Differents. Uravnen.,5, 3 (1969).
V. D. Kupradze and T. V. Burchuladze, Differents. Uravnen.,5, 1923 (1969).
B. A. Boley and I. S. Tollins, J. Appl. Mech., Trans. ASME, Ser. E [Russian translation], No. 4, 34 (1962).
B. A. Boley and J. H. Weiner, Theory of Thermal Stress, Wiley, New York (1960).
G. A. Kil'chinskaya, Proc. 11th Sci. Conf. on Thermal Stresses in Structural Elements [in Russian], Kiev (1970).
V. N. Kuznetsov and E. Z. Korol', Izv. Akad. Nauk SSSR. Mekhan. Tverd. Tela, No. 1, 175 (1970).
Ya. S. Podstrigach and R. N. Shvets, Prikl. Mekhan.,5, No. 1, 43 (1969).
B. E. Pobedrya, Dokl. Akad. Nauk SSSR,190, No. 2, 297 (1970).
V. D. Kupradze, T. G. Gegelia, M. O. Basheleishvili, and T. V. Burchuladze, Three-Dimensional Problems of the Mathematical Theory of Elasticity [in Russian], Tbilisi (1968).
A. Fridman, Partial Differential Equations of Parabolic Type [in Russian], Moscow (1968).
A. D. Kovalenko, V. G. Karnaukhov, and V. I. Tyuptya, Prikl. Mekhan.,4, No. 9, 1 (1968).
A. D. Kovalenko, V. G. Karnaukhov, and V. I. Tyuptya, Prikl. Mekhan.,4, No. 12, 26 (1968).
A. D. Kovalenko and V. G. Karnaukhov, Prikl. Mekhan.,5, No. 2, 28 (1969).
R. C. Petrov and S. Gratch, J. Appl. Mech., Trans. ASME, Ser. E, 423–429 (1964).
B. E. Pobedrya, Vestn. MGU. Ser. Matem.-Mekhan., No. 6, 84 (1969).
B. E. Pobedrya, Seminar Inst. Appl. Math., Proc. Seminar 3 [in Russian], Tbilisi (1970), p. 41.
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Lomonosov Moscow State University. Translated from Mekhanika Polimerov, No. 1, pp. 59–65, January–February, 1971.
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Kuznetsov, V.N., Ogibalov, P.M. & Pobedrya, B.E. The coupling problem in polymer mechanics. Polymer Mechanics 7, 50–55 (1971). https://doi.org/10.1007/BF00856614
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DOI: https://doi.org/10.1007/BF00856614