LEADER 04423nam 22006854a 450 001 9910454280903321 005 20200520144314.0 010 $a1-281-93443-7 010 $a9786611934439 010 $a981-279-429-8 035 $a(CKB)1000000000537837 035 $a(EBL)1679606 035 $a(SSID)ssj0000102737 035 $a(PQKBManifestationID)11125035 035 $a(PQKBTitleCode)TC0000102737 035 $a(PQKBWorkID)10072072 035 $a(PQKB)10201658 035 $a(MiAaPQ)EBC1679606 035 $a(WSP)00005238 035 $a(Au-PeEL)EBL1679606 035 $a(CaPaEBR)ebr10255477 035 $a(CaONFJC)MIL193443 035 $a(OCoLC)879074269 035 $a(EXLCZ)991000000000537837 100 $a20050330d2003 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAmplification of nonlinear strain waves in solids$b[electronic resource] /$fAlexey V. Porubov 210 $aSingapore ;$aRiver Edge, NJ $cWorld Scientific$dc2003 215 $a1 online resource (229 p.) 225 1 $aSeries on stability, vibration, and control of systems. Series A ;$vv. 9 300 $aDescription based upon print version of record. 311 $a981-238-326-3 320 $aIncludes bibliographical references (p. 199-209) and index. 327 $aPreface; Contents; 1. Basic concepts; 1.1 Single nonlinear waves of permanent shape; 1.2 Formation of nonlinear waves of permanent shape from an arbitrary input; 1.3 Amplification attenuation and selection of nonlinear waves; 2. Mathematical tools for the governing equations analysis; 2.1 Exact solutions; 2.2 Asymptotic solutions; 2.3 Numerical methods; 2.4 Use of Mathematica; 3. Strain solitary waves in an elastic rod; 3.1 The sources of nonlinearities; 3.2 Modelling of nonlinear strain waves in a free lateral surface elastic rod; 3.3 Double-dispersive equation and its solitary wave solution 327 $a3.4 Observation of longitudinal strain solitary waves3.5 Reflection of solitary wave from the edge of the rod; 4. Amplification of strain waves in absence of external energy influx; 4.1 Longitudinal strain solitary wave amplification in a narrowing elastic rod; 4.2 Strain solitary waves in an elastic rod embedded in another elastic external medium with sliding; 4.3 Strain solitary waves in an elastic rod with microstructure; 5. Influence of dissipative (active) external medium; 5.1 Contact problems: various approaches 327 $a5.2 Evolution of bell-shaped solitary waves in presence of active/ dissipative external medium5.3 Strain kinks in an elastic rod embedded in an active/ dissipative medium; 5.4 Influence of external tangential stresses on strain solitary waves evolution in a nonlinear elastic rod; 6. Bulk active or dissipative sources of the amplification and selection; 6.1 Nonlinear bell-shaped and kink-shaped strain waves in microstructured solids; 6.2 Nonlinear seismic solitary waves selection; 6.3 Moving defects induced by external energy flux; 6.4 Thermoelastic waves; Bibliography; Index 330 $aThis book treats two problems simultaneously: sequential analytical consideration of nonlinear strain wave amplification and selection in wave guides and in a medium; demonstration of the use of even particular analytical solutions to nonintegrable equations in a design of numerical simulation of unsteady nonlinear wave processes. The text includes numerous detailed examples of the strain wave amplification and selection caused by the influence of an external medium, microstructure, moving point defects, and thermal phenomena. The main features of the book are: (1) nonlinear models of the stra 410 0$aSeries on stability, vibration, and control of systems.$nSeries A ;$vv. 9. 606 $aStress waves 606 $aSolids 606 $aDifferential equations, Nonlinear$xNumerical solutions 606 $aNonlinear waves 608 $aElectronic books. 615 0$aStress waves. 615 0$aSolids. 615 0$aDifferential equations, Nonlinear$xNumerical solutions. 615 0$aNonlinear waves. 676 $a530.4/16 700 $aPorubov$b Alexey V$0984346 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910454280903321 996 $aAmplification of nonlinear strain waves in solids$92248313 997 $aUNINA