LEADER 05093nam 2200697Ia 450 001 9910454347303321 005 20200520144314.0 010 $a1-281-93444-5 010 $a9786611934446 010 $a981-279-450-6 035 $a(CKB)1000000000537851 035 $a(EBL)1679613 035 $a(OCoLC)879023733 035 $a(SSID)ssj0000269421 035 $a(PQKBManifestationID)11235094 035 $a(PQKBTitleCode)TC0000269421 035 $a(PQKBWorkID)10243049 035 $a(PQKB)11088943 035 $a(MiAaPQ)EBC1679613 035 $a(WSP)00005157 035 $a(Au-PeEL)EBL1679613 035 $a(CaPaEBR)ebr10255991 035 $a(CaONFJC)MIL193444 035 $a(EXLCZ)991000000000537851 100 $a20040212d2003 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aWave processes in solids with microstructure$b[electronic resource] /$fVladimir I. Erofeyev 210 $aSingapore ;$aRiver Edge, NJ $cWorld Scientific$dc2003 215 $a1 online resource (276 p.) 225 0 $aSeries on stability, vibration, and control of systems. Series A ;$vv. 8 300 $aDescription based upon print version of record. 311 $a981-238-227-5 320 $aIncludes bibliographical references (p. 233-252) and index. 327 $aContents ; 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 Constants 327 $a2. 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 Waves 327 $a2.5 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 Microstructure 327 $a3.2 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 Waves 327 $a4.4 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 Solids 327 $a5.1 Dispersion Properties 330 $a 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.
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