Journal ArticleDOI
Propagation of nonlinear compression pulses in granular media
TLDR
In this article, the problem of nonstationary, nonlinear perturbations in one-dimensional granular media is stated on the basis of the wellknown interaction between neighboring granules.Abstract:
The study of mechanics of a granular medium is of substantial interest, both scientifically and for the solution of applied problems. Such materials are, for example, good buffers for shock loads. Their, study is important for the development of processes of the pulse deformation of several porous materials. A review of studies of small deformations and elastic wave propagation in these media was carried out in [i] on the basis of discrete models. The structure of a stationary shock wave was analyzed in [2] as a function of its amplitude. i. Statement of the Problem. The problem of nonstationary, nonlinear perturbations in one-dimensional granular media is stated in the present paper on the basis of the wellknown interaction between neighboring granules. As an interaction law we choose the Hertz law [3]read more
Citations
More filters
Journal ArticleDOI
Dynamics of Phononic Materials and Structures: Historical Origins, Recent Progress, and Future Outlook
Journal ArticleDOI
Solitary waves in the granular chain
TL;DR: In this paper, the authors introduce the physics of solitary waves in alignments of elastic beads, such as glass beads or stainless steel beads, and show that any impulse propagates as a new kind of highly interactive solitary wave through such an alignment and that the existence of these waves seems to present a need to re-examine the very definition of equilibrium.
Journal ArticleDOI
Stable propagation of mechanical signals in soft media using stored elastic energy.
Jordan R. Raney,Neel Nadkarni,Chiara Daraio,Chiara Daraio,Dennis M. Kochmann,Jennifer A. Lewis,Katia Bertoldi +6 more
TL;DR: A nonlinear soft system that is able to propagate large-amplitude signals over arbitrary distances without any signal degradation is demonstrated, made use of bistable beams to store and then release elastic energy along the path of the wave, balancing both dissipative and dispersive effects.
Journal ArticleDOI
Tunable and Active Phononic Crystals and Metamaterials
TL;DR: In this article, a survey of tunable and active phononic crystals and metamaterials is presented, including bandgap and bandgap engineering, anomalous behaviors of wave propagation, as well as tunable manipulation of waves based on different regulation mechanisms: tunable mechanical reconfiguration and materials with multifield coupling.
Journal ArticleDOI
Generation and control of sound bullets with a nonlinear acoustic lens
Alessandro Spadoni,Chiara Daraio +1 more
TL;DR: A qualitatively new way of generating high-energy acoustic pulses, which may improve imaging capabilities through increased accuracy and signal-to-noise ratios and may lead to more effective nonintrusive scalpels, for example, for cancer treatment.
References
More filters
Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Book
Theory of elasticity
TL;DR: The equilibrium of rods and plates Elastic waves Dislocations Thermal conduction and viscosity in solids Mechanics of liquid crystals Index as discussed by the authors The equilibrium of rod and plate elastic waves Elastic waves
Journal ArticleDOI
Shock wave propagation in cubic lattices
D. H. Tsai,C. W. Beckett +1 more
TL;DR: In this paper, a model for the propagation of a strong, one-dimensional shock wave in a semi-infinite cubic lattice was proposed. But, because of the dispersive nature of the lattice, it was found that the shock wave profile was unsteady in time, and the computed stresses behind the shock front were different from those obtained under the assumption of a steady shock profile.
Journal ArticleDOI
Propagation of shock waves in one‐dimensional crystal lattices
T. G. Hill,L. Knopoff +1 more
TL;DR: In this paper, it was shown that the wake of strong shocks on the Toda lattice shows an almost monochromatic vibration spectrum, which we take to be the Einstein frequency of the lattice.
Journal ArticleDOI
Shock profiles caused by different end conditions in one‐dimensional quiescent lattices
TL;DR: In this article, the wave profiles for various rise times are compared to the zero-time case in a quiescent lattice, and for certain rise times and anharmonicity parameters an apparent envelope soliton forms behind the shock front.