Nonstationary plane waves in media with bulk viscosity

International Journal of Protective Structures

Yankelevsky

2011

The paper presents a comprehensive approach to simulate the blast pressure distribution on a rigid or flexible planar or curved obstacle buried in a porous soil medium. The Lyakhov three-phase model is adopted to take into account the volumetric components of the soil medium (air, water, and solid matrix) and their properties, in the formulation of all the branches of the equation of state that simulates the soil. The present approach considers both the bulk and the shear elastic-plastic behavior, including the effect of soil pressure on the yield strength for the stress tensor deviator. Both Godunov and the variational-difference methods are applied to solve the problem of blast wave propagation within the soil medium. An example problem of an explosion in a porous medium is presented, and the analysis of the soil-obstacle interaction under the blast action using the proposed method shows good correspondence with available experimental results. The pressure distribution along the envelope of a rigid obstacle has been investigated for different standoff distances of the explosive from the obstacle as well as for different levels of soil water contents up to saturation. In addition, the plane problems of blast response of a thin-walled lining that is buried in this medium has been studied for different levels of water content and the lining's extreme deformation including its dynamic buckling under the blast high pressures was investigated.

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Section: The Soil Model and The Equations Of Motionmentioning

confidence: 99%

“…non-linear models taking into account the medium compaction [20-25] must be used. In the latter, both two-phase [26][27][28] and three-phase [23,[29][30][31] theories are used.…”

Section: Introductionmentioning

confidence: 99%

Blast Pressure Distribution on a Buried Obstacle in a Porous Wet Soil

International Journal of Protective Structures

Yankelevsky

2011

show abstract

“…An increase in pressure beyond r FC leads to a non-linear elastic compaction with a constant irreversible density (segment C 1 CD). The process along the segment ABCD is denoted as ''active loading'' and the soil pressure p ¼ (Às xx +s yy +s zz )/3 in this case is defined as a inverse function of the following r$p relationship [26,27]:…”

Section: The Medium's Equations Of Motionmentioning

confidence: 99%

“…Porous saturated soil is simulated by using the Lyakhov model [26,27] that was developed for a three-phase medium (elastic-plastic matrix, ideal liquid, ideal gas) that undergoes both shear and bulk irreversible deformations.…”

Section: The Medium's Equations Of Motionmentioning

confidence: 99%

“…The linear models [20][21][22] may be used for relatively slow processes (such as seismic response), but for the high-velocity regime (explosion, blast, impact, etc.) the non-linear models taking into account the medium compaction [23][24][25][26][27][28] must be used. In doing so, both two-phase [29][30][31][32] and three-phase [26,[33][34][35] theories are used.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Blast response of a lined cavity in a porous saturated soil

Kochetkov

International Journal of Impact Engineering

et al. 2008

Simulation of buried cylindrical/spherical explosions in a soil medium using the semi‐analytical solution of a cavity expansion problem

Yankelevsky

Num Anal Meth Geomechanics

2021