Strongly nonlinear waves generated by impact in weakly and strongly dissipative sonic vacuum (INVITED)

Abstract eng:
The discrete system of particles with strongly nonlinear interacting forces (no linear part is present) can be described as sonic vacuum because long wave sound speed is equal zero. Plate impact on this system results in unique wave dynamics. In the nondissipative case it is governed by strong nonlinearity and dispersion resulting in the solitary wave trains, number of solitary waves in the train depending on the ratio of striker mass and mass of particles. Dissipation can dramatically change this behaviour. This paper presents results of numerical and experimental research related to the nature of pulses generated by impact in nondissipative, weakly and strongly dissipative sonic vacua. Weak dissipation results in decreasing of amplitude of emerging solitary waves or in the oscillatory shock like stress wave. Strong dissipation results in single bell shape waves or in the monotonous shock like stress waves. The effective viscosity is introduced to separate these regimes.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket