2014/04/02 by V. M. Gertsik, Gertsik, V. M., A.L. Petrosyan +2
Engineering · Mathematics · Physics and Astronomy · #< #60Hxx | 60-XX | 60Kxx > #FOS: Physical sciences #Geotechnical and Geomechanical Engineering #Mathematical Physics (math-ph) #math-ph #math.MP #msc:60-XX #msc:60Hxx #msc:60Kxx #msc:74-XX #msc:74Bxx #| 74-XX | 74Bxx >
paper · pdf · doi:10.48550/arxiv.1404.0544
23 pages, 4 figures
arxiv created 2014/04/02 · openalex publication_date 2014/04/02 · arxiv updated 2014/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Thermodynamic equations for a solid and a solid continuum under stress are derived on the basis of a multicomponent mean field Markov process for thermofluctuation kinetics of microcracks. The resulting continuum is viscous elastoplastic continuum with damage. It can radiate elastic waves . The existence of phase transitions with microcrack density as an order parameter is proved for a stationary state of a special model of solid. For a finite large system the distribution of the logarithmic power of acoustic emission at a critical point is similar to the distribution of the logarithmic energy of earthquakes.