Propagation of Explosive Pulses in Assemblies of Disks and Spheres
Publication: Journal of Engineering Mechanics
Volume 123, Issue 10
Abstract
An experimental investigation has been conducted to compare and contrast the dynamic load–transfer process in single-chain assemblies of twoand three-dimensional particles. In particular, single-chain assemblies of disks and spheres were subjected to explosive loadings and strain gauges were used to collect the resulting strain pulse information. The data were analyzed to compare the pulse velocity, contact load attenuation, dispersion, and pulse breakup in disks and spheres. The comparison shows that the average pulse velocity in disks is higher than in spheres and the pulse attenuation is lower in the disks. The results also show that there is a characteristic pulse that will propagate through a single chain of disks without significant dispersion. However, the characteristic pulse propagating in assemblies of spheres shows dispersion. For both disks and spheres, when the input pulse is sufficiently long, it undergoes a ringing process, which breaks the long pulse up into smaller signals of size approximately equal to the characteristic length. The larger the input pulse is with respect to the characteristic pulse length, the longer the breakup takes. This breakup is also accompanied by a redistribution of energy, which is easily seen in the frequency domain.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Cundall, P. A.(1988). “Formulation of a three-dimensional distinct element model—part I: a scheme to detect and represent contacts in a system composed of many polyhedral blocks.”Int. J. Rock Mech. Min. Sci. and Geomech. Abstract, 25(3), 107–116.
2.
Ghaboussi, J., and Barbosa, R.(1990). “Three-dimensional discrete element method for granular materials.”Int. J. Numer. and Analytical Methods in Geomech., 14(7), 451–472.
3.
Johnson, K. L. (1985). Contact mechanics. Cambridge University Press, New York, N.Y.
4.
Nesterenko, V. F.(1983). “Propagation of nonlinear compression pulse in granular media.”J. Appl. Tech. Phys., 5, 733–743.
5.
Oda, M., Konishi, J., and Nemat-Nasser, S.(1982). “Experimental micromechanical evaluation of strength of granular materials: effects of particle rolling.”Mech. Mat., 1(4), 264–283.
6.
Sadd, M. H., Tai, Q. M., and Shukla, A.(1993). “Contact law effects on wave propagation in particulate materials using distinct element modeling.”Int. J. Non-Linear Mech., 28(2), 251–265.
7.
Shukla, A., and Nigam, H.(1985). “A numerical-experimental analysis of the contact stress problem.”J. Strain Anal., 20(4), 241–245.
8.
Shukla, A., Sadd, M. H., Singh, R., Tai, Q. M., and Vishwanthan, S.(1993a). “Role of particle shape and contact profile on the dynamic response of particulate materials.”Optics and Lasers in Engrg., 19(1), 99–119.
9.
Shukla, A., Sadd, M. H., Xu, Y., and Tai, Q. M.(1993b). “Influence of loading pulse duration on dynamic load transfer in a simulated granular medium.”J. Mech. Phys. Solids, 41(11), 1795–1808.
10.
Shukla, A., Zhu, C. Y., and Sadd, M.(1988). “Angular dependence of dynamic load transfer due to explosive loading in two dimensional granular aggregates.”J. Strain Anal., 23(3), 121–127.
11.
Shukla, A., Zhu, C. Y., and Xu, Y.(1992). “Dynamic stresses in granular assemblies with microstructural defects.”J. Engrg. Mech., ASCE, 118(1), 190–201.
12.
Smith, J. O., and Liu, C. K.(1953). “Stresses due to tangential and normal loads on an elastic solid with applications to some contact problems.”J. Appl. Mech., 20, 157–166.
13.
Sternberg, E., and Rosenthal, F.(1952). “The elastic sphere under concentrated loads.”J. Appl. Mech., 19(4), 413–421.
14.
Takahashi, T., and Sato, Y.(1949). “On the theory of elastic waves in granular substance.”Bull. Earthquake Res. Inst., 27, 603–623.
15.
Williams, J. R., and Pentland, A.(1992). “Superquadrics and modal dynamics for discrete elements in interactive design.”Engrg. Computations, 9(2), 115–127.
16.
Xu, Y., and Shukla, A.(1993). “Evaluation of static and dynamic contact stresses in simulated granular particles using strain gages.”ASTM J. Testing and Evaluation, 21(3), 178–187.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 123 • Issue 10 • October 1997
Pages: 1050 - 1059
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Oct 1, 1997
Published in print: Oct 1997
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.