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Literature Cited
R. Gabasov and F. M. Kirillova, “Optimal control methods,” in: Contemporary Problems in Mathematics [in Russian], Vol. 6, VINITI, Moscow (1976), pp. 133–206.
A. E. Green and J. E. Adkins, Large Elastic Deformations, 2nd ed., Oxford University Press, Fair Lawn, New Jersey (1971).
M. A. Biot, “Thermoelasticity and irreversible thermodynamics,” J. Appl. Phys.,23, No. 3, 240–253 (1956).
B. D. Coleman, “Thermodynamics of materials with memory,” Arch. Rat. Mech. Anal., 17, No. 1, 1–46 (1964).
B. D. Coleman, “On thermodynamics, strain impulses, and viscoelasticity,” Arch. Rat. Mech. Anal.,17, No. 3, 230–254 (1964).
B. D. Coleman and W. Noll, “Foundations of linear viscoelasticity,” Rev. Mod. Phys.,33, No. 2, 239–249 (1961).
W. B. Krötzig and K. P. Waltersdorf, “On thermodynamics of deformation and variational methods in reversible thermoelasticity,” in: Proceedings of the International Conference on Variational Methods in Engineering, Vol. 1, Southampton University Press (1972), pp. 1/43–1/56.
J. T. Oden and D. R. Bhandari, “Variational principles in nonlinear viscoelasticity,” Intern. J. Solids Struct.,8, No. 8, 1017–1026 (1972).
J. T. Oden and D. R. Bhandari, “Some amendments and corrections to variational principles in nonlinear viscoelasticity,” Intern. J. Solids Struct.,10, 469–472 (1974).
Additional information
Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 14, No. 8, pp. 16–21, August, 1978.
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Senchenkov, I.K., Karnaukhov, V.G. Variational formulations of nonlinear viscoelasticity boundary-value problems. Soviet Applied Mechanics 14, 799–803 (1978). https://doi.org/10.1007/BF00883679
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DOI: https://doi.org/10.1007/BF00883679