Wave Dynamics of Generalized Continua
Springer, 25 de set. 2015 - 274 pàgines
This monograph is devoted to problems of propagation and stability of linear and nonlinear waves in continuous media with complex structure. It considers the different media, such as solid with cavities, preliminary deformed disperse medium, solid with porosity filled by the electrically conductive and non-conductive liquid, magnetoelastic, piezo-semiconductors, crystals with dislocations, composites with inclusions, an electrically conductive asymmetrical liquid, a mixture of gas with a drop liquid. The book also considers the propagation of a laser beam through a two-level medium.
The presented results are based on methods of evolution and modulation equations that were developed by the authors. The book is intended for scientific and technical researchers, students and post-graduate students specializing in mechanics of continuous media, physical acoustics, and physics of the solid state.
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2 Waves in Viscous Dispersive Nonlinear Preliminary Deformable Layer with a Free Surface
3 Waves in Solids with Porosity Filled by an Electrically Nonconducting Liquid Biot Medium
4 Waves in a Solid with Porosity Filled by Electrically Conducting Liquid Located in a Constant Electric Field
5 Piesoelastic Waves
6 Magnetoelastic Waves
7 Waves in Solid TwoComponent Shear Mixtures
8 Waves in the Mixture of Gas and Droplets
9 Nonlinear Quasimonochromatic Acoustic Elastic and Electromagnetic Waves in a Media with Microstructure
10 Stability of SolitonLike Waves and Some Solutions of Dissipative Evolution Equations Without Dispersion
11 Waves in the Cosserat Medium
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A.G. Bagdoev acoustic wave amplitude Armenia assumed axis boundary conditions cavities coagulation coefficients components consider constant continua coordinates corresponds ð Þ deformations density dependence derived diffraction dimensionless dispersion equation displacement displacement vector dissipation droplets eikonal elastic wave electric field equations describing evolution equations expression following equation following form formula frequency harmonic inequality inhomogeneities initial interaction Korteweg–de Vries equation layer linear liquid longitudinal wave magnetic field magnetoelastic wave materials Mechanics micropolar mixture modulation nonlinear Schrödinger equation nonlinear terms nonlinear wave O°us obtain the following one-dimensional parameters perturbation phase velocity plane x3 porosity porous problem radius reflected wave relations rotation Russian set of equations shear wave Shekoyan soliton solution of Eq solved stationary wave strain tensor stresses Substituting taking into account tensor theory transverse waves values variables vector viscoelastic viscosity wave number wave processes wave propagation wave velocity