Literature Cited
B. E. Pobedrya, “Numerical methods in viscoelasticity theory,” Mekh. Polim., No. 3, 417–428 (1973).
M. A. Koltunov, A. S. Kravchuk, and V. P. Maiboroda, Applied Mechanics of a Deformable Solid [in Russian], Vysshaya Shkola, Moscow (1983).
S. É. Umanskii, “Costructing a numerical solution for, thermorheologic problems,” Probl. Prochn., No. 1, 47–51 (1977).
S. É. Umanskii, “Stability and convergence of processes of the numerical solution of thermoviscoelasticity problems,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 9, 821–826 (1978).
S. É. Umanskii, Optimization of approximate methods of solving edge problems of mechanics [in Russian], Naukova Dumka, Kiev (1983).
O. V. Mazurin, Vitrification and Stabilization of Inorganic Glasses [in Russian], Leningrad (1978).
Yu. N. Rabotnov, Creep Problems in Structural Members, Elsevier (1969).
O. Zienkiewicz, Finite Element Method, 3rd Ed., McGraw-Hill (1978).
O. C. Zienkiewicz and I. C. Cormeau, “Viscoplasticity, plasticity, and creep in elastic solids—a unified numerical solution approach,” Int. J. Num. Meth. Eng.,8, 821–845 (1974).
S. É. Umanskii, “On edge problems of nonsteady thermal creep,” Probl. Prochn., No. 4, 25–30, (1979).
N. S. Bakhvalov, Numerical Methods [in Russian], Nauka, Moscow (1975).
S. É. Umanskii, “Construction of more effective schemes of the finite-element method using modified and mixed approximations,” Probl. Prochn., No. 7, 112–118 (1983).
S. É. Umanskii, “General theory and practical application of modified-mixed schemes of the finite-element method,” Probl. Prochn., No. 12, 83–89 (1984).
I. I. Bugakov, Creep of Polymer Materials [in Russian], Nauka, Moscow (1973).
Additional information
Institute of Strength Problems, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Problemy Prochnosti, No. 7, pp. 82–89, July, 1986.
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Umanskii, S.É., Romanchenko, S.A. Effective absolutely stable algorithm for numerical solution of thermoviscoelasticity and thermoviscoplasticity problems. Strength Mater 18, 950–958 (1986). https://doi.org/10.1007/BF01522699
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DOI: https://doi.org/10.1007/BF01522699