Wave Processes in Solids with Microstructure
This book systematically discusses the modern theory of propagation and interaction of elastic waves in solids with microstructure. Mathematical models of solids taking into account microstructure, geometrical and physical nonlinearity, damage media, interaction of deformation and magnetic field are obtained. Different wave effects characteristic of solids with microstructure are studied. The opportunity to use these effects in problems of ultrasonic testing of materials and devices of constructions is considered. Contents: The Fundamental Hypothesis of Microstructured Elastic Solids. StructuralOCoPhenomenological Model; Gradient Elasticity Media. Dispersion. Dissipation. Nonlinearity; Gradient Elasticity Media. Damaged Medium. Magnetoelasticity; Cosserat Continuum; Waves in Two-Component Mixture of Solids; Waves in Micromorphic Solids; Elasto-Plastic Waves in the Medium with Dislocations; Wave Problems of Micropolar Hydrodynamics. Readership: Undergraduates, graduate students, researchers and practitioners in the mechanics of solids as well as in physical and technical acoustics."
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Gradient Elasticity Media Dispersion Dissipation NonLinearity
Gradient Elasticity Media Damaged Medium Magnetoelasticity
Waves in TwoComponent Mixture of Solids
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acoustic acoustodislocation interaction amplitude assumed attenuation constant boundary conditions characterizing components Cosserat continuum couple stresses damping deformation degrees of freedom density dependence dislocations dispersion branches Dispersion characteristics dispersion curves dispersion equation dispersion properties dispersion relations displacement vector Duffing equation dynamics equations elastic constants elastic medium elliptic function Eringen Erofeyev frequencies and wave group velocity half-space harmonic wave interacting waves interface internal energy longitudinal rotation waves longitudinal waves magnetic field material Maugin micropolar liquid micropolar medium microrotation microstructure modulation instability momentum stresses negative dispersion nonlinear waves obtained oscillations periodic waves phase velocity plain waves positive dispersion quadratic nonlinearity qualitatively reduces resonance interactions shear rotation waves shear waves shear-rotation waves shown in Fig soliton solution of Eq stationary wave strain tensor stress tensor subsonic surface waves synchronism condition theory values viscous volume wave amplitude wave number wave processes wave propagation wave velocity wavelength zero
Strain Solitons in Solids and How to Construct Them
Alexander M. Samsonov
No preview available - 2001
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