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Senchenkov, I. K.; Karnaukhov, V. G.

One version of the main thermomechanical theory of viscoelasticity for thermorheologically simple materials. (English. Russian original) Zbl 0469.73096

Sov. Appl. Mech. 17, 433-439 (1981); translation from Prikl. Mekh. 17, No. 5, 38-44 (1981).
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MSC:

74A15 Thermodynamics in solid mechanics
74A99 Generalities, axiomatics, foundations of continuum mechanics of solids
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)

Keywords:

thermorheologically; principle of temperature-strain-time analogy; single-integral representation; free-energy functional; superposition of small viscoelastic strains; finite elastic strains

Citations:

Zbl 0424.73100; Zbl 0185.535
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Full Text: DOI

References:

[1] V. G. Karnaukhov and I. K. Senchenkov, ?The main thermomechanical viscoelasticity theory for generalized thermorheologically simple materials,? Prikl. Mekh.,15, No. 2, 41?48 (1979). · Zbl 0424.73100
[2] S. I. Meshkov, The Viscoelastic Properties of Metals [in Russian], Metallurgiya, Moscow (1974).
[3] B. D. Coleman, ?Thermodynamics of materials with memory,? Arch. Rat. Mech. Anal.,17, No. 1, 1?46 (1964).
[4] M. J. Crochet and P. M. Naghdi, ?A class of simple solids with memory,? Int. J. Eng. Sci.,7, No.12, 1173?1198 (1969). · Zbl 0185.53507 · doi:10.1016/0020-7225(69)90028-7
[5] G. Lianis, ?Nonlinear thermorheologically simple materials,? in: Proc. Fifth Int. Congr. Rheol., No. 1, Kyoto (1968), pp. 313?335.
[6] R. A. Schapery, ?On the characterizations of nonlinear viscoelastic materials,? Polym. Eng. Sci.,9, No. 4, 295?310 (1969). · doi:10.1002/pen.760090410
[7] K. R. Valanis, Irreversible Thermodynamics of Continuous Media, Springer-Verlag, Vienna-New York (1971).
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