Conclusion
A model of multicycle fatigue of polymers based on the hypothesis of self-simulation of the failure process was proposed and a method of predicting the durability was elaborated in the present study. It was found that in low-temperature conditions of self-heating, the crack is the basic cause of fatigue failure. A cyclic durability equation was obtained in the form of a modified time summation criterion for the stressed state in the failure zone in the vicinity of the apex of a fatigue crack. It was shown that in the case of brittle failure in multicycle fatigue, the maximum principal stresses which arise in the failure zone, one order of magnitude smaller than the size of the fatigue crack, are the criterion of failure.
Similar content being viewed by others
Literature cited
S. N. Zhurkov, “The kinetic concept of the strength of solids,” Vestn. Akad. Nauk SSSR, 46–52 (1968).
V. R. Regel', A. I. Slutsker, and E. E. Tomashevskii, The Kinetic Nature of the Strength of Solids [in Russian], Moscow (1974).
O. P. Ostash and V. V. Panasyuk, “On the theory of generation and growth of fatigue cracks,” Fiz.-Khim. Mekh. Mater., No. 1, 13–21 (1988).
S. N. Zhurkov and V. S. Kuksenko, “Micromechanics of failure of polymers,” Mekh. Polim., No. 5, 792–804 (1974).
V. P. Tamuzh and V. S. Kuksenko, Micromechanics of Failure of Polymeric Materials [in Russian], Riga (1978).
S. B. Ratner, “Boundaries of the deformation and strength work capacity of plastics from the position of the physical study of materials,” Plast. Massy, No. 10, 31–35 (1977).
V. I. Korobov and S. B. Ratner, “Heating of plastics in repeated deformation and the nature of the Weller curve,” Plast. Massy, No. 1, 68–72 (1968).
I. V. Razumovskaya, Yu. G. Korabel'nikov, G. M. Bartenev, and K. V. Panferov, “Durability and relaxation processes in solid polymers,” Mekh. Polim., No. 4, 629–636 (1969).
G. I. Barenblatt and L. R. Botvina, “Similarity methods in the mechanics and physics of failure,” Fiz.-Khim. Mekh. Mater., No. 1, 57–62 (1986).
Ya. Nemets, S. V. Serensen, and V. S. Strelyaev, Strength of Plastics [in Russian], Moscow (1970).
P. A. Pavlov and S. Zhunisbekov, “Study of the initial stage of crack development in extension and compression of polymethyl methacrylate samples,” Probl. Prochn., No. 8, 14–18 (1973).
M. F. Morozov and V. V. Novozhilov, “Some problems of the structural mechanics of failure,” Fiz.-Khim. Mekh. Mater., No. 1, 23–26 (1988).
K. Wieghardt, “Über das Spaltan und Zerreiben Elastischer Körper,” Z. Math. Phys.,55, 60–103 (1907).
G. I. Barenblatt, V. M. Entov, and R. L. Salganik, “Kinetics of crack propagation. Condition of failure and long-term strength,” Inzh. Zh. Mekh. Tverd. Tela, No. 6, 76–81 (1966).
V. T. Troshchenko, V. V. Pokrovskii, and A. V. Prokopenko, Crack Resistance of Metals in Cyclic Loading [in Russian], Kiev (1987).
J. F. Nott, Principles of the Mechanics of Failure [Russian translation], Moscow (1978).
I. Narisawa, Strength of Polymeric Mateials [Russian translation], Moscow (1987).
S. B. Ratner, “Mechanical failure of solid polymeric materials as a process of chemical destruction of the polymer matrix,” Dokl. Akad. Nauk SSSR,278, No. 3, 680–684 (1984).
Methodological Indication. Calculations and Tests for Strength. Methods of Mechanical Testing of Metals. Determination of the Characteristics of Crack Resistance (Failure Viscosity) in Cyclic Loading [in Russian], RD 50-345-82, Moscow (1983).
Author information
Authors and Affiliations
Additional information
Translated from Mekhanika Kompozitnykh Materialov, No. 4, pp. 633–638, July–August, 1990.
Rights and permissions
About this article
Cite this article
Ratner, S.B., Potapova, L.B. Multicycle fatigue resistance of brittle polymers. Mech Compos Mater 26, 463–467 (1991). https://doi.org/10.1007/BF00612618
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00612618