Thermomechanical main theory of viscoelasticity for generalized thermorpheologically simple porous materials. (English. Russian original) Zbl 0424.73100
Sov. Appl. Mech. 15, 121-127 (1979); translation from Prikl. Mekh. 15, No. 2, 41-48 (1979).
MSC:
| 74A15 | Thermodynamics in solid mechanics |
| 74D99 | Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) |
| 82B35 | Irreversible thermodynamics, including Onsager-Machlup theory |
| 74A20 | Theory of constitutive functions in solid mechanics |
| 74A99 | Generalities, axiomatics, foundations of continuum mechanics of solids |
References:
| [1] | A. A. Il’yushin, Plasticity [in Russian], Izd. Akad. Nauk SSSR, Moscow (1963). |
| [2] | A. A. Il’yushin and B. E. Pobedrya, Basic Mathematical Theory of Thermoviscoelasticity [in Russian], Nauka, Moscow (1970). |
| [3] | V. G. Karnaukhov and I. K. Senchenkov, ?Effect of finite initial strains on the propagation of waves through nonlinear viscoelastic media,? in: Proc. Symp. on Nonlinear Strain Waves in Tallin, 1977 [in Russian], Vol. 2, Tallin (1978), pp. 86?89. |
| [4] | G. Astarita, ?Thermodynamics of dissipative materials with entropic elasticity,? Polymer. Eng. Sci.,14, No. 10, 730?733 (1974). · doi:10.1002/pen.760141012 |
| [5] | B. D. Coleman, ?Thermodynamics of materials with memory,? Arch. Rat. Mech. Anal.,17, No. 1, 1?46 (1964). |
| [6] | B. D. Coleman and W. Noll, ?Foundations of linear viscoelasticity,? Rev. Mod. Phys.,33, No. 2, 239?249 (1961). · Zbl 0103.40804 · doi:10.1103/RevModPhys.33.239 |
| [7] | F. J. Lockett, Nonlinear Viscoelastic Solids, Academic Press, London-New York (1972). · Zbl 0333.73034 |
| [8] | L. W. Morland and E. H. Lee, ?Stress analysis of viscoelastic materials with temperature variation,? Trans. Rheol. Soc.,4, 233?263 (1960). · doi:10.1122/1.548856 |
| [9] | R. A. Schapery, ?Effect of cyclic loading on the temperature in viscoelastic media with variable properties,? J. AIAA,2, No. 5, 827?835 (1964). · Zbl 0118.19303 · doi:10.2514/3.2438 |
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