We analyzed the status of the problem of developing governing equations of isotropic creep within the framework of a mechanical equation of state. The feasibility of using equations of the hereditary type to describe the third stage of creep was evaluated.
We also constructed a creep theory based on a refinement of the principle of the similarity of isochronic curves. This can be regarded as an attempt to generalize the concepts of mechanical equation of state and nonlinear heredity. The theory makes it possible to consider the initial strain-hardening of the medium, evaluate the third stage of creep, and take into account the history and cyclicity of loading.
It was shown that nonsteady creep develops in media which exhibit linear strain-hardening, while the development of all three stages of creep is possible in media characterized by exponential strain-hardening. It was discovered that there is a sudden increase in the rate of nonsteady creep under constant stress. The creep of certain structural materials under steady, stepped, and cyclic loading was calculated and satisfactory agreement was obtained with experimental results.
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N. Kh. Arutyunyan and V. B. Kolmanovskii, Theory of Creep of Nonuniform Bodies [in Russian], Nauka, Moscow (1983).
J. Boyle and J. Spense, Analysis of Stresses in Structures during Creep [Russian translation], Mir, Moscow (1986).
V. P. Golub and A. S. Oleinik, “Method of calculating the coefficients in the Rabotnov creep parameter,” Mashinovedenie, No. 2, 22–27 (1988).
S. A. Shesterikov (ed.), Laws of Creep and Rupture Strength: Handbook [in Russian], Mashinostroenie, Moscow (1983).
L. M. Kachanov, Creep Theory [in Russian], Fizmatgiz, Moscow (1960).
V. V. Moskvitin, Cyclic Loading of Structural Elements [in Russian], Nauka, Moscow (1981).
A. Nadai, Plastic Deformation and Fracture of Solids [Russian translation], Mir, Moscow (1969).
G. S. Pisarenko and N. S. Mozharovskii, Equations and Boundary-Value Problems of the Theory of Plasticity and Creep [in Russian], Naukova Dumka, Kiev (1981).
Yu. N. Rabotnov, Creep of Structural Elements [in Russian], Nauka, Moscow (1966).
Yu. N. Rabotnov and S. T. Mileiko, Short-Term Creep [in Russian], Nauka, Moscow (1970).
O. V. Sosnin, B. V. Gorev, and A. F. Nikitenko, Energy Variant of Creep Theory [in Russian], Izd. Inst. Gidrodin. Sib. Otd. Akad. Nauk SSSR, Novosibirsk (1986).
Yu. N. Shevchenko and R. G. Terekhov, Physical Equations of Thermoviscoplasticity [in Russian], Naukova Dumka, Kiev (1982).
C. C. Davenport, “Correlation of creep and relaxation properties of copper,” J. Appl. Mech.,5, No. 2 A55-A60 (1938).
P. Ludvik, Elemente der Technologischen Mechanik, Springer, Berlin (1909).
F. K. G. Odqvist, Mathematical Theory of Creep and Creep Rupture, Clarendon Press, Oxford (1966).
I. V. Volterra, Lecons sur les Fonctions de Lignes, Gauthier-Villard, Paris (1913).
Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 25, No. 2, pp. 90–100, February, 1989.
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Golub, V.P. Theory of creep of initially strain-hardening isotropic materials. Soviet Applied Mechanics 25, 184–194 (1989). https://doi.org/10.1007/BF00888135
- Structural Material
- Cyclic Loading
- Isotropic Material
- Satisfactory Agreement
- Sudden Increase