Analyzing the deformation of a porous medium with account for the collapse of pores

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 von Mises–Schleicher strength co...

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Vydáno v:Journal of applied mechanics and technical physics Ročník 57; číslo 5; s. 808 - 818
Hlavní autoři: Sadovskii, V. M., Sadovskaya, O. V.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Moscow Pleiades Publishing 01.09.2016
Springer Nature B.V
Témata:
Algorithms
Applications of Mathematics
Classical and Continuum Physics
Classical Mechanics
Collapse
Compression waves
Computer simulation
Deformation
Densification
Elastoplasticity
Exact solutions
Fluid- and Aerodynamics
Loads (forces)
Longitudinal waves
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mechanical Engineering
Physics
Physics and Astronomy
Planes
Plastic deformation
Plastic strain
Porosity
Porous materials
Porous media
Rheological properties
Shock wave propagation
Shock waves
pore collapse
parallel computational algorithm
shock-capturing method
porous medium
elastic precursor
plastic shock wave
ISSN:0021-8944, 1573-8620
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Shrnutí: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 von 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 compression shock waves and the extension of the cylindrical cavity in an infinite porous medium. The calculation results are compared with exact solutions, and it is shown that they are in good agreement.
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ISSN:0021-8944
1573-8620
DOI:10.1134/S0021894416050072