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REVIEW ARTICLES

Wave Propagation in Partially Saturated Soils

[+] Author and Article Information
Frederick Bloom

Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115

Appl. Mech. Rev 59(4), 177-209 (Jul 01, 2006) (33 pages) doi:10.1115/1.2192810 History:

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Copyright © 2006 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Pressure p variation as a function of 1−ρ0∕ρ (adopted from Ref. 6)

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Figure 2

(r,t)-phase plane (adopted from Ref. 6)

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Figure 3

The domain D of compaction (adopted from Ref. 6)

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Figure 5

Pressure change as a function of time inside the spherical cavity (adopted from Ref. 6)

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Figure 9

The radius wM (adopted from Ref. 6)

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Figure 10

wM as a function of p̂(0) (adopted from Ref. 6)

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Figure 11

yM as a function of p̂(0) (adopted from Ref. 6)

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Figure 13

Distribution of the density inside of the compacted zone (adopted from Ref. 6)

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Figure 14

Radius of the spherical cavity and the position of shock wave versus the initial volume fraction of the gas (adopted from Ref. 6)

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Figure 15

Variation of ΔPu∕Pm with η (adopted from Ref. 6)

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Figure 16

Variation of V with η (adopted from Ref. 6)

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Figure 17

Form of the wave trajectory (adopted from Ref. 6)

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Figure 18

Variation of U with η at the cavity boundary (adopted from Ref. 6)

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Figure 20

Internal friction coefficient α as a function of hardening parameter χ for compaction of loose river sands (adopted from Ref. 14)

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Figure 21

Explosion wave pressures for three moments of time (adopted from Ref. 14)

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Figure 22

Density, sound velocities, and permeability near explosion cavity in a dry high porous medium (adopted from Ref. 14)

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Figure 23

Constraint function for peak points from Lade’s tests on Monterey sand (adopted from Ref. 18)

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Figure 24

Stress-strain and volumetric strain-shear strain for a simple triaxial model employing anisotropic dilation (adopted from Ref. 18)

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Figure 25

The plastic strain rate is perpendicular to the intersection of the yield surface and the hyperplane on which the constraining stress is constant. Thus, its direction is obtained by first constructing the normal to the yield surface and then projecting it onto the hyperplane (adopted from Ref. 21).

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Figure 4

(x,τ)-phase plane in nondimensional variables (adopted from Ref. 6)

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Figure 6

Variation of ρ̂0 with ρ̂0 (adopted from Ref. 6) 1−v(2)0=0.099, v(3)0=0.001, 2−v(2)0=0.095, v(3)v=0.005, 3−v(2)0=0.09, v(3)0=0.01, 4−v(2)0=0.199, v(3)0=0.001, 5−v(2)0=0, v(3)0=0.005, 6−v(2)0=0.19, v(3)0=0.01

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Figure 7

Graph of Ω̂ as a function of p̂0 (adopted from Ref. 6)

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Figure 8

p̂u as a function of ρ̂u (adopted from Ref. 6)

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Figure 12

The average compaction level as a function of the explosion pressure (adopted from Ref. 6)

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Figure 19

Internal friction coefficient α as a function of dilatancy rate Λ for river sands (adopted from Ref. 14)

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