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References
E. Becker, "Continuum thermomechanics," in: Mechanics of Deformable Solids: Trends in Research (collection of articles edited by G. S. Shapiro) [Russian translation], Mir, Moscow (1983), pp. 257–273.
V. V. Bolotin, Predicting the Safe Life of Machines and Structures [in Russian], Mashinostroenie, Moscow (1984).
V. P. Golub, "One approach to determining cyclic creep strains," Probl. Prochn., No. 11, 27–30 (1979).
V. P. Golub, Cyclic Creep of Heat-Resistant Materials [in Russian], Nauk. Dumka, Kiev (1983).
V. P. Golub, "Evaluating endurance under high-temperature high-cycle loading," Zh. Mekh. Tekh. Fiz., No. 2, 68–76 (1984).
V. P. Golub, "Time to failure during the interaction of creep and fatigue," Mashinovedenie, No. 1, 69–74 (1985).
V. P. Golub, "Damage and unidimensional problems of failure under cyclic loading conditions," Prikl. Mekh.,23, No. 10, 19–29 (1987).
V. P. Golub, "Nonlinear damage mechanics and its application," Crack Resistance of Structural Elements and Materials [in Russian], Kiev (1980), pp. 19–20.
V. P. Golub, "Nonlinear models of damage accumulation under creep conditions," Probl. Mashinostr. Avtomat., No. 1, 51–58 (1992).
V. P. Golub and I. I. Ishchenko, "Deformation and fracture of heat-resistant materials under high-cycle loading," Prikl. Mekh.,21, No. 4, 57–65 (1985).
V. P. Golub and E. A. Panteleev, "Damage accumulation and calculation of the fatigue life of rods under axial loading," Probl. Prochn., No. 4, 3–12 (1992).
V. P. Golub and A. V. Plashchinskaya, "Fatigue life of thin plates with cracks with allowance for damage to the material," in: Thermoviscoelastoplastic Deformation Processes in Structural Elements: Summary of Documents of a Conference, Kiev (1992), p. 20.
V. P. Golub and A. V. Romanov, "Kinetics of damage in isotropic materials under creep conditions," Prikl. Mekh.25, No. 12, 107–115 (1989).
V. P. Golub and A. V. Romanov, "Problem of constructing nonlinear models of damage accumulation in creep," Probl. Prochn., No. 6, 9–14 (1990).
V. P. Golub, E. A. Panteleev, and A. V. Romanov, "Calculation of the endurance of rods in tension-compression," in: Structural Dynamics of Civilian Hovercraft [in Russian], Izd. KIIGA, Kiev (1987), pp. 70–77.
V. P. Golub, E. A. Panteleev, and A. V. Romanov, "Calculation of the fatigue life of smooth and notched rods in axial loading," in: Reliability and Strength of Machine Elements [in Russian], Izd. KuAI, Kuibyshev (1988), pp. 4–11.
A. A. Il'yushin, "Theory of long-term strength," Mekh. Tverd. Tela, No. 3, 21–35 (1967).
L. M. Kachanov, Principles of Fracture Mechanics [in Russian], Nauka, Moscow (1974).
J. Collins, Damage to Materials in Structures: Analysis, Prediction, Prevention [Russian translation], Mir, Moscow (1984).
V. V. Moskvitin, Cyclic Loads on Structural Elements [in Russian], Nauka, Moscow (1981).
V. V. Novozhilov, "Plastic loosening," Prikl. Mat. Mekh.,29, No. 4, 681–689 (1965).
Yu. N. Rabotnov, Creep of Structural Elements [in Russian], Nauka, Moscow (1966).
J.-L. Chaboche, "Continuous damage mechanics — a tool to describe phenomena before crack initiation," Nucl. Eng. Des., No. 64, 233–247 (1981).
B. F. Dyson and F. A. Leckie, "Damage equations for physically based creep life," in: Proc. 7th Intern. Conf. on Fracture (ICF),3, 2169–2176 (1989).
V. P. Golub, "Lebensdauer warmfester Legierungen unter den Bedingungen des Zusammenwirkens von Krieck — und Ermudungsprozessen," Warmfeste Metallish Werksoffe, VI Symposium (1987), pp. 22–34.
V. P. Golub, "Nonlinear models of creep damage accumulation," Mechanics of Creep Brittle Materials, Vol. 2, Elsevier Appl. Science, London—New York (1991), pp. 254–267.
V. P. Golub, "Nonlinear models of fatigue damage accumulation," in: Mechanical Fatigue of Metals, Vol. 2, Kiev (1992), pp. 228–236.
V. P. Golub, "Creep-fatigue interaction and lifetime prediction," 4th Int. Symposium on Creep and Coupled Processes, Bialystok (1992).
V. P. Golub, "Nonlinear models of creep and fatigue life of nickel base superalloys," 5th Int. Conf. on Creep, New York (1992).
A. A. Griffith, "The phenomena of rupture and flow in solids," Philos. Trans. R. Soc. London,A211, No. 2, 163–198 (1920).
N. J. Hoff, "The necking and rupture of rods subjected to constant tensile loads," J. Appl. Mech.,20, No. 1, 105–108 (1953).
G. R. Irwin, "Anaysis of stresses and strains near the tip of crack traversing a plate," J. Appl. Mech.,24, No. 3, 361–364 (1957).
J. Lemaitre, "Coupled elastoplasticity and damage constitutive equations," Computer Methods in Applied Mechanics and Engineering, No. 51, 31–49 (1985).
S. Murakami, M. Kawai, and H. Rong, "Finite element analysis of creep crack growth by a local approach," Int. J. Mech. Sci.,30, No. 7, 491–502 (1988).
Additional information
S. P. Timoshenko Institute of Mechanics, Ukrainian Academy of Sciences (Kiev). Translated from Prikladnaya Mekhanika, Vol. 29, No. 10, pp. 37–49, October, 1993.
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Golub, V.P. Constitutive equations in nonlinear damage mechanics. Int Appl Mech 29, 794–804 (1993). https://doi.org/10.1007/BF00855258
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DOI: https://doi.org/10.1007/BF00855258