A V Attetkov (Bauman Moscow State Technical University) :


Articles:

536.2+662.215.5 Mathematical modeling of temperature field under the phase transformation in a shock-compressed porouse material

Attetkov A. V. (Bauman Moscow State Technical University), Kotovich A. V. (Bauman Moscow State Technical University), Pilyavskaya E. V. (Bauman Moscow State Technical University)


doi: 10.18698/2309-3684-2025-2-318


The article presents generalized results of numerical analysis of the process of temperature field formation in a shock-compressed three-phase porous material in the absence and presence of phase transformations during plastic pore flow. Using mathematical modeling methods, the influence of mesoscopic processes of thermal dissipation, heat transfer, melting and interphase heat exchange on the formed temperature field is investigated, its topological features are established in the presence of molten zones in the shock-compressed porous material.


Аттетков А.В., Котович А.В., Пилявская Е.В. Математическое моделирование температурного поля при фазовых превращениях в ударно-сжатом пористом материале. Математическое моделирование и численные методы, 2025, № 2, с. 3–18.


534.222.2+662.215.5 Mathematical modeling of the temperature field of a two-phase porous material under shock-wave loading

Attetkov A. V. (Bauman Moscow State Technical University), Kotovich A. V. (Bauman Moscow State Technical University), Pilyavskaya E. V. (Bauman Moscow State Technical University)


doi: 10.18698/2309-3684-2025-4-7185


This paper is considered the problem of stationary shock wave propagation in a two-phase porous material — an incompressible viscoplastic medium containing spherical pores with a surface coating (an incompressible viscous fluid). A hierarchy of simplified analogs of the basic mathematical model for temperature field formation in a shock-compressed porous material is developed. It is shown that the use of simplified analogs of the basic model significantly reduces computational costs during numerical experiments. Conditions are determined under which, if satisfied, the simplified analogs of the basic mathematical model enable the temperature field of a two-phase porous material to be accurately identified under shock-wave loading.


Аттетков А.В., Котович А.В., Пилявская Е.В. Математическое моделирование температурного поля двухфазного пористого материала при ударно-волновом нагружении. Математическое моделирование и численные методы, 2025, № 4, с. 71–85.