Formation of stable structures from damage elements
Failure is described as the evolution of a kinetic system, and the conditions are considered for the formation of a stable structure arising from damage elements. A parabolic-type equation system describes the kinetics and is constructed on the basis of interaction between damage elements of two types, which are identified as local excited states interacting in accordance with the rules of formal chemical kinetics. The solutions staisfy the general laws of solid-state failure.
KeywordsExcited State Stable Structure Equation System Formal Chemical Chemical Kinetic
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- 1.V. I. Vladimirov, The Physical Nature of Metal Failure [in Russian], Metallurgiya, Moscow (1984).Google Scholar
- 2.V. A. Petrov, Fiz. Tverd. Tela,25, 3110 (1983).Google Scholar
- 3.S. L. Gluzman, S. G. Psakh'e, and V. E. Panin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 6, 28 (1985).Google Scholar
- 4.S. N. Zhurkov, Fiz. Tverd. Tela,25, No. 10, 3119 (1983).Google Scholar
- 5.A. A. Kusov, Fiz. Tverd. Tela,21, No. 10, 3095 (1979).Google Scholar
- 6.V. A. Petrov, V. I. Vladimirov, and A. N. Orlov, Phys. Status Solidi,42, 197 (1970).Google Scholar
- 7.D. Marry, Nonlinear Differential Equations in Biology: Model Lectures [Russian translation], Mir, Moscow (1983).Google Scholar
- 8.Yu. M. Romanovskii, N. V. Stepanova, and D. S. Chernavskii, Mathematical Biophysics [in Russian], Nauka, Moscow (1984).Google Scholar
- 9.G. I. Marchuk, Methods in Computational Mathematics [in Russian], Nauka, Moscow (1980).Google Scholar
- 10.A. V. Volobuev and V. V. Gann, in: Computer Simulation of Defects in Crystals [in Russian], Nauka, Leningrad (1980).Google Scholar