Abstract
We present a theoretical substantiation of a generalized model of damage to structural materials under the conditions of complex low-cycle loading. It is shown that the surface theory of plastic flow with Pisarenko–Lebedev-type surfaces is preferable for the description of damage in stabilized cycles under different fracture conditions as compared with the use of Mises-type surfaces. We also present the procedure for determining the principal parameters of the model.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. T. Troshchenko, A. Ya. Krasovskii, and V. A. Strizhalo, Resistance of Materials to Deformation and Fracture [in Russian], Vol. 2, Naukova Dumka, Kiev (1994).
N. A. Makhutov, A. Z. Vorob'ev, and M. M. Gadenin, Strength of Structures under Low-Cycle Loading [in Russian], Nauka, Moscow (1983).
A. P. Gusenkov and P. I. Kotov, Low-Cycle Fatigue under Nonisothermal Loading [in Russian], Mashinostroenie, Moscow (1983).
A. G. Kazantsev, “Numerical analysis of low-cycle fatigue for nonproportional loading modes,” Probl. Prochn., No. 6, 31–36 (1989).
A. A. Movchan, “On low-cycle fatigue under the conditions of nonproportional symmetric deformation,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 3, 102–108 (1983).
N. S. Mozharovskii, E. A. Antipov, and N. I. Bobyr', Creep and Durability of Materials under Preset Loading [in Russian], Vyshcha Shkola, Kiev (1982).
A. A. Lebedev, N. G. Chausov, I. O. Boginich, and S. A. Nedoseka, “Complex evaluation of the degree of damage to the material in the process of plastic deformation,” Probl. Prochn., No. 5, 23–30 (1996).
K. Golos, “Energetic formulation of fatigue strength criterion,” Archiwun Budowy Maszyn, 35, No. 5, 5–15 (1988).
Y. Lemaitre, “Coupled elasto-plasticity and damage constitutive equations,” Comp. Meth. Appl. Mech. Eng., 51, 31–49 (1985).
L. M. Kuchanov, “On the time of fracture under the conditions of creep,” Izd. Akad. Nauk SSSR, Otd. Tekh. Nauk, No. 8, 26–35 (1958).
Yu. N. Rabotnov, Creep of Structural Members [in Russian], Nauka, Moscow (1966).
Y. Lemaitre, “Continual model of damage used for the numerical analysis of fracture of plastic materials,” Trans. ASME, Theor. Eng. Comp., 107, No. 1, 90–98 (1985).
N. I. Bobyr’ and T. B. Ponamarenko, “Equation of state of structural materials under complex low-cycle loading,” Progres. Tekh. Tekhnolog. Mashinobud., No. 2, 58–67 (1998).
D. Socie, P. Kurath, and J. Koch, A Multiaxial Fatigue Damage Parameter. Biaxial and Multiaxial Fatigue, EGF3, Mech. Eng. Publ., London (1989), pp. 535–550.
V. A. Strizhalo, Cyclic Strength and Creep of Metals under the Conditions of Low-Cycle Loading at Low and High Temperatures [in Russian], Naukova Dumka, Kiev (1978).
Yu. G. Korotkikh, “Description of the processes of accumulation of damage in the material in the course of isothermal viscoplastic deformation,” Probl. Prochn., No. 1, 18–23 (1985).
D. Socie, “Models of fracture under the conditions of multiaxial fatigue,” Trans. ASME, Theor. Eng. Comp., No. 3, 9–20 (1988).
A. G. Kazanzev and N. A. Makhutov, “Low-cycle fatigue of anisotropic steel under nonproportional loading,” in: Proc. of the 5th Internat. Conf. on Biaxial/ Multiaxial Fatigue, Vol. 1 (1997), pp. 125–139.
A. N. Romanov, Fracture under Low-Cycle Loading [in Russian], Nauka, Moscow (1988).
V. V. Novozhilov, “On the prospects of the phenomenological approach to the problem of fracture,” in: Mechanics of Deformable Bodies and Structures [in Russian], Mashinostroenie, Moscow (1975), pp. 349–359.
N. A. Makhutov, M. M. Gadenin, D. A. Gokhfel'd, et al., Equation of State under Low-Cycle Loading [in Russian], Nauka, Moscow (1981).
V. L. Kolmogorov, Mechanics of Metal Forming [in Russian], Metallurgiya, Moscow (1986).
S. R. Bodner and I. Lindholm, “Damage-increment criterion for the time-dependent fracture of materials,” Trans. ASME, Theor. Eng. Comp., No. 2, 51–58 (1976).
Yu. N. Shevchenko and R. G. Terekhov, Physical Equations of Thermoviscoplasticity [in Russian], Naukova Dumka, Kiev (1982).
A. A. Movchan, “Low-cycle fatigue for complex and, in particular, nonproportional paths of plastic deformation,” Deposited at VINITI, No. 2176–80dep, Moscow (1980).
Yu. N. Rabotnov, Mechanics of Deformable Bodies [in Russian], Nauka, Moscow (1988).
C. L. Chow and J. Wang, “An anisotropic theory of continuum damage mechanics for ductile fracture,” J. Eng. Fract. Mech., 27, No. 5, 547–558 (1987).
V. V. Zhu and S. A. Cescotto, “Fully coupled elasto-visco-plastic damage theory for anisotropic materials,” Int. J. Solids Struct., 32, No. 11, 1607–1641 (1995).
V. T. Troshchenko, A. A. Lebedev, V. A. Strizhalo, G. V. Stepanov, and V. V. Krivenyuk, Mechanical Behavior of Materials for Various Types of Loading [in Russian], Logos, Kiev (2000).
R. A. Arutyunyan, “Fracture criteria under the conditions of creep,” Probl. Prochn., No. 9, 42–45 (1982).
N. I. Bobyr', “Vector and scalar properties of structural materials under complex low-cycle loading,” Progres. Tekh. Tekhnolog. Mashinobud., 3, 48–58 (1998).
G. S. Pisarenko and A. A. Lebedev, Deformation and Strength of Materials in the Complex Loaded State [in Russian], Naukova Dumka, Kiev (1976).
Z. Mroz, “Hardening and accumulation of damage in metals under monotonic and cyclic loads,” Trans. ASME, Theor. Eng. Comp., 105, No. 2, 44–50 (1983).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bobyr', N.I. Generalized Model of Damage to Structural Materials under Complex Low-Cycle Loading. Strength of Materials 32, 480–486 (2000). https://doi.org/10.1023/A:1005262417353
Issue Date:
DOI: https://doi.org/10.1023/A:1005262417353