Splitting induced generation of soliton trains in layered waveguides

Abstract

We report first experimental registration of the splitting induced generation of a soliton train from a single incident strain soliton in two-and three-layered elastic waveguides. The origin is in the nonlinear response of the wave to an abrupt change of physical properties of the waveguide. We show a good agreement between our experimental results and theoretical estimates, based on a weakly nonlinear solution for the Doubly Dispersive (Boussinesq type) equation with piecewise constant coefficients for the waveguide made of a piecewise isotropic nonlinearly elastic material.

Strain solitary waves in a thin-walled waveguide

“…One should mention that similar to previously recorded strain solitons in other waveguides 3,4,9,10 there is no tensile area behind the observed wave, which verifies the solitary bell shape of the wave. The bulk soliton propagates on a distance many times longer than its wave length, while both its shape and amplitude remain permanent, despite the fact that PMMA is an effective absorber of any linear acoustic and shock waves.…”

Holographic approach to detection of delamination areas in layered polymeric waveguides by means of strain solitons

“…As a result of the aforementioned factors the parameters of the soliton propagating in such structures may vary (amplitude and width) and additional disturbances (complex wave patterns) may be generated. Some of these effects have been analyzed and reported recently (see [16,17]). …”

“…Mention that the rise of the soliton amplitude and soliton train formation due to fission was theoretically predicted in [18] and experimentally observed in [16], where the soliton train (a leading and a secondary soliton) were formed from a single incident strain soliton entering the split areas of two-and three-layered PMMA bars. It was shown both in theory and experiments that a single soliton entering the debonded area splits into two or more solitons with different amplitudes, the amplitude of the leading soliton rises depending upon the number of layers.…”

“…Figure 7 presents a set of interferograms of a soliton train in the delamination area of the three-layered bar. The theory and experimental details on the generation and evolution of soliton trains in delaminated waveguides is given in [16,18].…”

Observation of bulk strain solitons in layered bars of different materials

“…Recently, we have carried out a series of experi mental and theoretical investigations of the evolution of bulk strain solitons in layered waveguides made of glassy polymers, including poly(methyl methacrylate) (PMMA), polystyrene (PS), and polycarbonate (see [1][2][3][4] and references therein). In particular, we have studied the evolution of bulk strain solitons in com pletely bonded bars at ideal and nonideal contact between layers and various adhesives [1].…”