Nonlinear long wave models for imperfectly bonded layered waveguides
نویسندگان
چکیده
A composite lattice model is proposed to describe nonlinear waves in a two-layered waveguide with adhesive bonding. We begin by considering waves in an anharmonic chain of oscillating dipoles and show that the corresponding asymptotic long wave model for longitudinal waves coincides with the Boussinesq-type equation, earlier derived for a macroscopic waveguide using the nonlinear elasticity approach. We also show that, within this model, there is no simple analogy between long longitudinal and long flexural waves. Then, for a composite lattice, we derive two new model systems of coupled Boussinesq-type equations for long nonlinear longitudinal waves and conjecture that similar description exists within the framework of dynamic nonlinear elasticity.
منابع مشابه
Nonlinear layered lattice model and generalized solitary waves in imperfectly bonded structures.
We study nonlinear waves in a two-layered imperfectly bonded structure using a nonlinear lattice model. The key element of the model is an anharmonic chain of oscillating dipoles, which can be viewed as a basic lattice analog of a one-dimensional macroscopic waveguide. Long nonlinear longitudinal waves in a layered lattice with a soft middle (or bonding) layer are governed by a system of couple...
متن کاملSplitting Induced Generation of Soliton Trains in Layered Waveguides
We report first experimental registration of the splitting induced generation of a soliton train from a single incident strain soliton in twoand 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 no...
متن کاملEnhanced continuous-wave four-wave mixing efficiency in nonlinear AlGaAs waveguides.
Enhancements of the continuous-wave four-wave mixing conversion efficiency and bandwidth are accomplished through the application of plasma-assisted photoresist reflow to reduce the sidewall roughness of sub-square-micron-modal area waveguides. Nonlinear AlGaAs optical waveguides with a propagation loss of 0.56 dB/cm demonstrate continuous-wave four-wave mixing conversion efficiency of -7.8 dB....
متن کاملEffect of Micropolarity on the Propagation of Shear Waves in a Piezoelectric Layered Structure
This paper studies the propagation of shear waves in a composite structure consisting of a piezoelectric layer perfectly bonded over a micropolar elastic half space. The general dispersion equations for the existence of shear waves are obtained analytically in the closed form. Some particular cases have been discussed and in one special case the relation obtained is in agreement with existing r...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008