Dynamics of the closing of pores at the shock wave front

Dunin, S. Z.; Сурков, В. В.

doi:10.1016/0021-8928(79)90103-5

Cited by 7 publications

(8 citation statements)

References 2 publications

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“…Deformation of this continuum represents deformation of the smoothed (solid) matrix of the material, identified by the movement of the centers of masses of the "material point" (or REVs), having some internal structure. Thus, one can consider presented theory as generalization of the mechanics of continuums with internal degrees of freedom such as Cosserat (micropolar) continuum (Cosserat and Cosserat 1909;Eringen 1968), continuum with voids (Dunin and Surkov 1979;Cowin and Nunziato 1983), micromorphic Mindlin's continuum (Mindlin and Tiersten 1962;Mindlin 1964) This view leads to a clear distinction between "external parameters" characterizing the deformation of the continuum as a whole and "internal parameters" that characterize the state and internal dynamics of the REVs.…”

Section: Approachmentioning

confidence: 98%

Poroelasticity-I: Governing Equations of the Mechanics of Fluid-Saturated Porous Materials

Lopatnikov

Gillespie

2010

Transp Porous Med

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We present here the approach to the theory of fluid-filled poroelastics based on consideration of poroelastics as a continuum of "macropoints" (representative elementary volumes), which "internal" states can be described by as a set of internal parameters, such as local relative velocity of fluid and solid, density of fluid, internal strain tensor, specific area, and position of the center of mass of porous space. We use the generalized CauchyBorn hypothesis and suggest that there is a system of (structural) relationships between external parameters, describing the deformation of the continuum and internal parameters, characterizing the state of representative elementary volumes. We show that in nonhomogenous (and, particularly, nonlinear) poroelastics, an interaction force between solid and fluid appears. Because this force is proportional to the gradient of porosity, absent in homogeneous poroelastics, and one can neglect with dynamics of internal degrees of freedom, this force is equivalent to the interaction force, introduced earlier by Nikolaevskiy from phenomenological reasons. At last, we show that developed theory naturally incorporates three mechanisms of energy absorption: visco-inertial Darcy mechanism, "squirt flow" attenuation, and skeleton attenuation.

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Section: Approachmentioning

confidence: 98%

Poroelasticity-I: Governing Equations of the Mechanics of Fluid-Saturated Porous Materials

Lopatnikov

Gillespie

2010

Transp Porous Med

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“…В последнее время развивается подход, согласно которому процессы ударного сжатия некомпактного материала рассматриваются в рамках механики гетерогенных сред [12,45], при этом существенное внимание уделяется динамике выборки пор [17,31,46,47]. Однако решаемые задачи, как правило, связаны с исследованием структуры ударных волн в двухкомпонентных средах («твердое тело-газ» или «твердое тело-жидкость»).…”

Section: основные подходы при моделировании процессов динамического пunclassified

Dynamic Powder Compaction Processes

Polyakov¹

2018

DREAM

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Mathematical models of dynamic compaction and extrusion of incompact metallic m aterials are considered. According to the model of dynamic compaction, irreversible material volume changes occurring under the shock action are considered on the basis of the general equations of mass, momentum and energy conservation, which are written for the d iscontinuity surface. A mathematical model of impact extrusion of incompact wire stock through a conical die is proposed. It is based on the superposition of the solutions of two problems, namely, compaction of powder material in a cylindrical press mold and impact extrusion of an incompressible material. The model allows one to determine the minimum tool velocity required to perform extrusion.

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“…The proper ties of components of simple mixtures are considered to be unchanged and specified by the equations of state of these matters in the free state. The mixture compo nents are assumed to be two parameter media; i.e., the thermodynamic functions of each constituent depend on two thermodynamic parameters: the true density ρ ii (a mass of the ith constituent in its unit volume) and the temperature T. The method for describing a mix ture with a single continuum is considered in [4][5][6][7][8][9][10][14][15][16] and in other works. In [14], the equation of state is given for the equilibrium mixture of the calori cally perfect gas and incompressible solid matter.…”

Section: Introductionmentioning

confidence: 99%

“…In [15], a similar equation is derived for a three compo nent mixture with the barotropic equation of state for the components. In [16], the dependence of the mean pressure of the solid phase on porosity and interstitial pressure under static loading of the solid porous mix ture is found. In [6][7][8][9], an equation of state is derived for a porous mixture of condensed components in the form of the Mie-Grüneisen equation whose parame ters are expressed through the appropriate parameters and mass fractions of the constituents.…”

Section: Introductionmentioning

confidence: 99%

Equation of state for a highly porous material

Bel’kheeva

2015

High Temp

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An equation of state for describing a highly porous material is proposed. The porous medium is considered as a simple thermodynamically equilibrium mixture for which the hypothesis of additivity of vol umes of its components holds true. The equilibrium state is determined by conditions of equality of pressures, temperatures, and velocities of the mixture components. A model of interpenetrating and interacting con tinua is used for the mixture description. The gas available in pores is taken into account in the model. The equations of state of both solid and gaseous components are presented equally (in the form of the Mie-Grü neisen equation with the density dependent Grüneisen factor). By means of presenting functions as Taylor series, relations are deduced that allow the parameters of the equation of state for a porous material to be expressed through the appropriate parameters and mass fractions of the components. Numerical calculations of shock wave loading of porous copper, nickel, iron, and tungsten-nickel-copper mixtures are performed. The derived equation of state is shown to describe quite exactly the behavior of highly porous materials when shock waves propagate in them.

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Dynamics of the closing of pores at the shock wave front

Cited by 7 publications

References 2 publications

Poroelasticity-I: Governing Equations of the Mechanics of Fluid-Saturated Porous Materials

Poroelasticity-I: Governing Equations of the Mechanics of Fluid-Saturated Porous Materials

Dynamic Powder Compaction Processes

Equation of state for a highly porous material

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