Abstract
A continuum model is proposed and a system of equations is constructed to describe the processes of destruction of a solid. In the framework of the model, a decaying solid is considered as a heterogeneous medium consisting of two phases—solid and gaseous. Based on the analysis of the energy balance equation, in which its surface component is taken into account, the regularities of the onset of individual stages of the development of the process of destruction of a solid are studied. A description of each of the stages is given, the conditions are investigated, and criteria are formulated under which their implementation is possible.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
V. R. Regel, A. I. Slutsker, and E. E.Tomashevsky, The Kinetic Nature of the Strength of Solids (Nauka, Moscow, 1974) [in Russian].
V. E. Panin, V. A. Likhachev, and Yu. V. Grinyaev, Structural Levels of Deformation in Solids (Nauka, Novosibirsk, 1985) [in Russian].
Yu. N. Rabotnov, Introduction to Fracture Mechanics (Nauka, Moscow, 1987) [in Russian].
V. T. Belikov and A. F. Shestakov, “Time-dependent stress change during failure of rocks,” Rus. Geolog. Geophys. 49 (5), 350–356 (2008).
A. A. Griffith, “The phenomenon of rupture and flow in solids,” Phil. Trans. Roy. Soc. Ser. A.221, 163–198 (1920).
Yu. N. Rabotnov, Mechanics of Solids (Nauka, Moscow, 1979) [in Russian].
V. Z. Parton and E. M. Morozov, Mechanics of Elastoplastic Fracture (Nauka, Moscow, 1985) [in Russian].
V. Z. Parton, Fracture Mechanics: From Theory to Practice (Nauka, Moscow, 1990) [in Russian].
V. T. Belikov, “Quantitative description of heat and mass transfer in lithosphere,” Geolog. Geofiz., No. 5, pp. 3–9 (1991).
A. L. Alejnikov, V. T. Belikov, and N. I. Nemzorov, “Acoustic emission in heterogeneous media,” Defektoskopiya, No. 3, 31–36 (1993).
V. T. Belikov and D. G. Ryvkin, “Using the results of acoustic emission observations to study the structural characteristics of a solid,” Acoust. Phys.61, 572–579 (2015).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 6: Hydrodynamics (Nauka, Moscow, 1986) [in Russian].
A. V. Pogorelov, Differential Geometry (Nauka, Moscow, 1969) [in Russian].
L. M. Kachanov, Foundations of Fracture Mechanics (Nauka, Moscow, 1974) [in Russian].
V. A. Levin, E. M. Morozov, and Yu. G. Matvienko, Selected Nonlinear Problems of Fracture Mechanics (Fizmatlit, Moscow, 2004) [in Russian].
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics, Pt. 1 (Nauka, Moscow, 1967; Pergamon Press, Oxford, 1969).
V. A. Greshnikov and Yu. V. Drobot, Acoustic Emission. Application for Testing Materials and Products (Izd. Standartov, Moscow, 1976) [in Russian].
V.T. Belikov and D.G. Ryvkin, “A study of fracture scenarios on the basis of acoustic emission data,” Phys. Mesomech.21, 508–514 (2018).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by M. K. Katuev
About this article
Cite this article
Belikov, V.T. Conditions for the Implementation of Possible Modes of Development of the Destruction of a Solid. Mech. Solids 55, 177–185 (2020). https://doi.org/10.3103/S0025654420020089
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0025654420020089