Сибирский федеральный университет

Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций

Конференция: International Conference on Application of Mathematics in Technical and Natural Sciences (AMiTaNS); Albena, BULGARIA; Albena, BULGARIA

Год издания: 2015

Идентификатор DOI: 10.1063/1.4934307

Аннотация: Based on the generalized rheological method, the mathematical model describing small deformations of a single-phase porous medium without regard to the effects of a fluid or gas in pores is constructed. The change in resistance of a material to the external mechanical impacts at the moment of pore collapse is taken into account by means of the von Mises-Schleicher strength condition. In order to consider irreversible deformations, alongside with the classical yield conditions by von Mises and Tresca-Saint-Venant, the special condition modeling the plastic loss of stability of a porous skeleton is used. The random nature of the pore size distribution is taken into account. It is shown that the proposed mathematical model satisfies the principles of thermodynamics of irreversible processes. Phenomenological parameters of the model are determined on the basis of the approximate calculation of the problem on quasi-static loading of a cubic periodicity cell with spherical voids. In the framework of the obtained model, the process of propagation of plane longitudinal waves of the compression in a homogenous porous medium, accompanied by the plastic deformation of a skeleton and the collapse of pores, is analyzed. © 2015 AIP Publishing LLC.

Журнал: AIP Conference Proceedings

Выпуск журнала: 1684

Номера страниц: 070006

Издатель: American Institute of Physics Inc.

• Sadovskii V.M. (SB RAS, Inst Computat Modeling, Akademgorodok 50-44, Krasnoyarsk 660036, Russia)
• Sadovskaya O.V. (SB RAS, Inst Computat Modeling, Akademgorodok 50-44, Krasnoyarsk 660036, Russia)

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