E. V. Radkevich, O. A. Vasil'eva, E. A. Lukashev, M. A. Sidorov, “Methods of nonlinear dynamics of nonequilibrium processes in fracture mechanics”, Eurasian Journal of Mathematical and Computer Applications, 2018, Volume 6, Issue 2,Pages <nobr>43

This article is cited in 1 paper

Methods of nonlinear dynamics of nonequilibrium processes in fracture mechanics

E. V. Radkevich^a, O. A. Vasil'eva^b, E. A. Lukashev^c, M. A. Sidorov^c

^a Moscow State University, Faculty of Mechanics and Mathematics Russia, 119899, Moscow, Vorob’evy gory
^b Moscow State University of Civil Engineering Russia, 129337, Moscow, Yaroslavskoe shosse, 26
^c FKP NII «Geodesy» 41292, Moscow region, Krasnoarmeysk city, Testers avenue, 14, Russia

Abstract: The initial phase of instability in the structure of a solid in the form of a fracture process of the structure material as a nonequilibrium phase transition which depends on the spinodal decomposition (diffusion separation into two pases with different degradation factor) is reconstructed.

Keywords: a fracture mechanics, nonequilibrium phase transitions, the Kahn-Hillard model, diffusion fibration, the Ginzburg-Landau potential, Gibbs free energy.

MSC: 76E09, 76F35, 82C26

Received: 02.04.2018
Accepted: 12.04.2018

Language: English

DOI: 10.32523/2306-6172-2018-6-2-43-80