05093nam 2200697Ia 450 991045434730332120200520144314.01-281-93444-59786611934446981-279-450-6(CKB)1000000000537851(EBL)1679613(OCoLC)879023733(SSID)ssj0000269421(PQKBManifestationID)11235094(PQKBTitleCode)TC0000269421(PQKBWorkID)10243049(PQKB)11088943(MiAaPQ)EBC1679613(WSP)00005157(Au-PeEL)EBL1679613(CaPaEBR)ebr10255991(CaONFJC)MIL193444(EXLCZ)99100000000053785120040212d2003 uy 0engur|n|---|||||txtccrWave processes in solids with microstructure[electronic resource] /Vladimir I. ErofeyevSingapore ;River Edge, NJ World Scientificc20031 online resource (276 p.)Series on stability, vibration, and control of systems. Series A ;v. 8Description based upon print version of record.981-238-227-5 Includes bibliographical references (p. 233-252) and index.Contents ; Preface ; Introduction ; 1. The Fundamental Hypothesis of Microstructured Elastic Solids. Structural-Phenomenological Model ; 1.1 Mathematical Models of Solids with Microstructure ; 1.2 Definition of Material Constants2. Gradient Elasticity Media. Dispersion. Dissipation. Non-Linearity 2.1 Dynamic Equations. Energy and Momentum Variation Law ; 2.2 Dispersion Properties of Longitudinal and Shear Waves. Surface Rayleigh Waves ; 2.3 Dissipative Properties ; 2.4 Nonlinear Plain Stationary Waves2.5 Quasi-Plain Wave Beams 2.6 Self-Modulation of Quasi-Harmonic Shear Waves ; 2.7 Resonant Interaction of Quasi-Harmonic Waves ; 2.8 Noise Waves ; 3. Gradient Elasticity Media. Damaged Medium. Magnetoelasticity ; 3.1 Waves in Damaged Medium with Microstructure3.2 Magneto-Elastic Waves in the Medium with Microstructure 4. Cosserat Continuum ; 4.1 Basic Equations of Micropolar Elasticity Theory ; 4.2 Dispersion Properties of Volume Waves ; 4.3 Wave Reflection from the Free Interface of Micropolar Halfspace. Rayleigh Surface Waves4.4 Normal Waves in a Micropolar Layer 4.5 Nonlinear Resonant Interaction of Longitudinal and Rotation Waves ; 4.6 Waves in Cosserat Pseudocontinuum ; 4.7 Waves in the Cosserat Continuum with Symmetric Stress Tensor ; 5. Waves in Two-Component Mixture of Solids5.1 Dispersion Properties 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. <br><i>Contents:</i><ul><li>The Fundamental Hypothesis of Microstructured ElastSeries on Stability, Vibration and Control of Systems, Series AWave equationWave mechanicsWave-motion, Theory ofElectronic books.Wave equation.Wave mechanics.Wave-motion, Theory of.532.0593Erofeyev Vladimir I764158MiAaPQMiAaPQMiAaPQBOOK9910454347303321Wave processes in solids with microstructure2204857UNINA