Experimental investigation of the interaction between weak shock waves and granular layers

Ben‐Dor, G.; Britan, A. B.; Elperin, T.; Igra, O.; Jiang, Junping

doi:10.1007/s003480050069

Cited by 64 publications

(21 citation statements)

References 16 publications

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“…The one-dimensional, unsteady version of these equations was solved numerically. A comparison between the predictions of the numerical simulations and the experimental results presented by Ben-Dor et al (1997) showed good agreement.…”

Section: Introductionsupporting

confidence: 65%

Modelling of the impact of air shock wave on obstacle covered by porous screen

Губайдуллин

Дудко

2003

Computational Mechanics

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The procedure based on the modified two-step Lax-Wendroff scheme has been suggested for calculation of one-dimensional non-stationary motion of porous media described by the mathematical two-velocity model with two stress tensors. Results of computer modeling of the processes of passing the boundary between gas and porous medium by air shock wave and the reflection from rigid wall covered by the porous layer are presented.

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Section: Introductionsupporting

confidence: 65%

Modelling of the impact of air shock wave on obstacle covered by porous screen

Губайдуллин

Дудко

2003

Computational Mechanics

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“…Formation of unsteady fields of the gas pressure in granular media and the effect of gas filtration on the evolution of pressure waves in porous granular media were considered in detail in [16][17][18]. A numerical description of the wave processes observed in [16,17] was proposed in [18], based on the assumption that the "skeleton" of the granular medium is not deformed. It was shown [18] that the assumption of the rigid behavior of the "skeleton" of the granular medium does not allow a comprehensive description of all features of the wave processes, in particular, the effect of amplification of the dynamic load on a screened wall.…”

Section: Introductionmentioning

confidence: 99%

“…Using the method developed in [12,13], Ben Dor et al [16][17][18] continued the experimental study of the laws of interaction of weak air shock waves with a layer of a granular medium that covers a solid wall. In contrast to [12,13], the total stress of the mixture and the pressure of the pore gas were measured in [16][17][18] not only at the end of the shock tube but also in several cross sections of the granular medium layer.…”

Section: Introductionmentioning

confidence: 99%

“…In contrast to [12,13], the total stress of the mixture and the pressure of the pore gas were measured in [16][17][18] not only at the end of the shock tube but also in several cross sections of the granular medium layer. Formation of unsteady fields of the gas pressure in granular media and the effect of gas filtration on the evolution of pressure waves in porous granular media were considered in detail in [16][17][18]. A numerical description of the wave processes observed in [16,17] was proposed in [18], based on the assumption that the "skeleton" of the granular medium is not deformed.…”

Section: Introductionmentioning

confidence: 99%

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Numerical study of the transfer of shock-wave loading to a screened flat wall through a layer of a powdered medium and a subsequent air gap

Boldyreva

Губайдуллин

Дудко

et al. 2007

Combust Explos Shock Waves

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The two-velocity, two-temperature model with two stresses in a mixture of a gas and solid particles contacting each other is used to numerically study the dynamic effect of an air shock wave incoming onto a solid wall with a screening layer of a porous powdered medium at some distance from the wall. The process is described for the case of one-dimensional planar motion of the gaseous and disperse phases under the assumption of a viscoelastic behavior of the powder skeleton. The effect of stepwise shock waves onto the porous powdered screen is considered. The influence of parameters of the screening layer and the air gap on the dynamics of loading of the screened solid wall is analyzed.

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“…A gently perturbed 1D chain of spherical grains is known to admit a new kind of solitary wave propagation [7,8]. The propagation of mechanical energy at shallow depths in dry granular beds depend on the force chains that span the granular fabric [9] and remains an area of broad interest in many contexts such as landmine detection [10], shock absorption [11], and thermal conductivity especially in the context of geothermal applications [12] and geophysics at ultrashallow depths [13].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear repulsive force between two solids with axial symmetry

2011

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We modify the formulation of Hertz contact theory between two elastic half-solids with axial symmetry and show that these modifications to Hertz's original framework allow the development of force laws of the form F ∝ z n , 1 < n < ∞, where F is the force and z is the distance between the centers of the two solids. The study suggests that it may be possible to design physical systems that can realize such force laws. We let the half-solids be characterized by radii of curvatures R 1 and R 2 and invoke a factor m > 0 to describe any aspect ratio in the two bodies, all being valid near the contact surface. We let the x-y plane be the contact surface with an averaged pressure across the same as opposed to a pressure profile that depends on the contact area of a nonconformal contact as originally used by Hertz. We let the z axis connect the centers of the masses and define z 1,2 = x α /R α−1 1,2 + y α /(mR 1,2 ) α−1 , where z 1,2 0 refers to the compression of bodies 1, 2, α > 1, m > 0, x,y 0. The full cross section can be generated by appropriate reflections using the first quadrant part of the area. We show that the nonlinear repulsive force is F = az n , where n ≡ 1 + 1/α, and z ≡ z 1 + z 2 is the overlap and we present an expression for a = f (E,σ,m,α,R 1 ,R 2 ) with E and σ as Young's modulus and the Poisson ratio, respectively. For α = 2,∞, to similar geometry-dependent constants, we recover Hertz's law and the linear law, describing the repulsion between compressed spheres and disks, respectively. The work provides a connection between the contact geometry and the nonlinear repulsive law via α and m.

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Experimental investigation of the interaction between weak shock waves and granular layers

Cited by 64 publications

References 16 publications

Modelling of the impact of air shock wave on obstacle covered by porous screen

Modelling of the impact of air shock wave on obstacle covered by porous screen

Numerical study of the transfer of shock-wave loading to a screened flat wall through a layer of a powdered medium and a subsequent air gap

Nonlinear repulsive force between two solids with axial symmetry

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