Geodesic
Methods of nonlinear dynamics of nonequilibrium processes in fracture mechanics
Eurasian journal of mathematical and computer applications, Tome 6 (2018) no. 2, pp. 43-80.

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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. 
@article{EJMCA_2018_6_2_a3,
     author = {E. V. Radkevich and O. A. Vasil'eva and E. A. Lukashev and M. A. Sidorov},
     title = {Methods of nonlinear dynamics of nonequilibrium processes in fracture mechanics},
     journal = {Eurasian journal of mathematical and computer applications},
     pages = {43--80},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJMCA_2018_6_2_a3/}
}
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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, Tome 6 (2018) no. 2, pp. 43-80. http://geodesic.mathdoc.fr/item/EJMCA_2018_6_2_a3/