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This article is cited in 7 scientific papers (total in 7 papers)
Analyzing the deformation of a porous medium with account for the collapse of pores
V. M. Sadovskii, O. V. Sadovskaya Institute of Computational Modelling, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, 660036, Russia
Abstract:
The generalized rheological method is used to construct a mathematical model of small deformations of a porous media with open pores. Changes in the resistance of the material to external mechanical impact at the moment of collapse of the pores is described using the
Mises–Schleicher strength condition. The irreversible deformation is accounted for with the help of the classic versions of the von
Mises–Tresca–Saint-Venant yield condition and the condition that simulates the plastic loss of stability of the porous skeleton. Within the framework of the constructed model, this paper describes the analysis of the propagation of plane longitudinal compression waves in a homogeneous medium accompanied with plastic strain of the skeleton and densification of the material. A parallel computational algorithm is developed for the study of the elastoplastic deformation of the porous medium under external dynamics loads. The algorithm and the program are tested by calculating the propagation of plane longitudinal shock waves of compression and cylindrical cavity of in an infinite porous medium. The calculation results are compared with exact solutions, and it is shown that they are in good agreement.
Keywords:
porous medium, pore collapse, elastic precursor, plastic shock wave, shock-capturing method, parallel computational algorithm.
Received: 13.09.2016
Citation:
V. M. Sadovskii, O. V. Sadovskaya, “Analyzing the deformation of a porous medium with account for the collapse of pores”, Prikl. Mekh. Tekh. Fiz., 57:5 (2016), 53–65; J. Appl. Mech. Tech. Phys., 57:5 (2016), 808–818
Linking options:
https://www.mathnet.ru/eng/pmtf791 https://www.mathnet.ru/eng/pmtf/v57/i5/p53
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