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Experimental investigation of wave velocity and dynamic contact stresses in an assembly of disks

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Abstract

Dynamic photoelasticity and strain-gage techniques are employed to study wave propagation and dynamic load transfer in granular media. The granular medium is modeled as one- and two-dimensional deterministic and random arrays of circular disks of polyester material Homalite 100. The dynamic loading is achieved by explosive excitation. The experimental data are analyzed to determine the wave velocities, to identify the characteristic load transfer paths, and to quantitatively obtain the dynamic contact forces in the granular assembly. It is observed that the wave-propagation and dynamic-load-transfer phenomenon depends on the disk diameter and the obliqueness and flexibility of the load-transfer paths. The wave speed drops significantly in the first few granules after which the decay is more gradual. The load transter is characterized by the contact length and the friction between the contacting granules. The peak loads drop as the distance of the contact points from the point of explosive loading increases. For two-dimensional wave propagation, the load-transfer paths and the magnitude of contacting forces depend on the angles made by the normals of the contacting disks at the contact point.

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References

  1. Deresiewicz, H., “Mechanics of Granular Matter,” Advances in Applied Mechanics, V, Academic Press Inc. (1958).

  2. Krizek, R.J., “Rheological Behavior of Cohesionless Soils Subjected to Dynamic Loads,”Trans. Soc. of Rheology,15, (3),491–540 (1971).

    Google Scholar 

  3. Iida, K., “Velocity of Elastic Waves in Sand,”Bul. Earthquake Res. Inst.,17,783–807 (1939).

    Google Scholar 

  4. Iida, K., “Velocity of Elastic Waves in a Granular Substance,”Bul. Earthquake Res. Inst., Japan,17,783–808 (1939).

    Google Scholar 

  5. Takahashi, T. andSato, Y., “On the Theory of Elastic Waves in Granular Substance,”Bul. Res. Inst., Japan,27,11–16 (1949).

    MathSciNet  Google Scholar 

  6. Hughes, D.S. andGross, J.H., “Elastic Wave Velocities in Rocks at High Pressures and Temperatures,”Geophysics,XVI (4),577–593 (Oct.1951).

    Google Scholar 

  7. Hughes, D.S. andKelly, J.L., “Variation of Elastic Wave Velocity with Saturation in Sandstone,”Geophysics,17,739–752 (1952).

    Article  Google Scholar 

  8. Gassman, F., “Elastic Waves Through a Packing of Spheres,”Geophysics,16,673–685 (1951).

    Google Scholar 

  9. Brandt, H., “A Study of the Speed of Sound in Porous Granular Media,”J. Appl. Mech.,22,479–486 (1955).

    MATH  Google Scholar 

  10. Duffy, J. and Hindlin, R.D., “Stress-Strain Relations and Vibrations of a Granular Media,” J. Appl. Mech., 585–593 (Dec. 1957).

  11. Fletcher, E.H., “Random Walk Model of Ideal Granular Mass,”J. Soil Mech. and Found. Div., ASCE,98,(SMIO), Proc. Paper 8444,1379–1392 (Oct.1971).

    Google Scholar 

  12. Endley, S.N. and Peyrod, H., “Load Distribution in Granular Media,” J. Eng. Mech. Div., 99–111 (Feb. 1977).

  13. Mroz, Z., “Deformation and Flow of Granular Materials,” IUTAM Conf. Proc., 119–132 (1980).

  14. Cundall, P.A. andStrack, D.L., “A Discrete Numerical Model for Granular Assemblies,”Geotechnique,29 (1),47–65 (1979).

    Google Scholar 

  15. Morland, L.W., “Elastic Anisotropy of Regularly Jointed Media,”Rock Mech.,8,35–48 (1976).

    Google Scholar 

  16. Drescher, A. andde Josselin de Jong, G., “Photoelastic Verification of a Mechanical Model for Flow of a Granular Material,”J. Mech. Phy. Solids,20,337–351 (1972).

    Google Scholar 

  17. Durelli, A.J. andWu, D., “Loads Between Disks in a System of Discrete Elements,”Experimental Mechanics,24 (4),337–341 (1984).

    Article  Google Scholar 

  18. Durelli, A.J. andWu, D., “Use of Coefficients of Influence to Solve Some Inverse Problems in Plane Elasticity,”J. Appl. Mech.,50 (2),288–296 (June1983).

    Google Scholar 

  19. Rossmanith, H.P. andShukla, A., “Photoelastic Investigation of Dynamic Load Transfer in Granular Media,”Act. Mech.,42,211–225 (1982).

    Google Scholar 

  20. Shukla, A. andNigam, H., “A Numerical-Experimental Analysis of the Contact Stress Problem,”J. Strain Analysis,20 (4),241–245 (1985).

    Google Scholar 

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Shukla, A., Damania, C. Experimental investigation of wave velocity and dynamic contact stresses in an assembly of disks. Experimental Mechanics 27, 268–281 (1987). https://doi.org/10.1007/BF02318093

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  • DOI: https://doi.org/10.1007/BF02318093

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