Linear Elastic Waves (Cambridge Texts in Applied Mathematics) (John G. Harris) 0521643686

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1、ThispageintentionallyleftblankLinearElasticWavesWavepropagationandscatteringareamongthemostfundamentalprocessesthatweusetocomprehendtheworldaroundus.Whereastheseprocessesareoftenverycomplex,onewaytobegintounderstandthemistostudywaveprop-agationinthelinearapproximation.Thisisabookdes

2、cribingsuchpropagationusing,asacontext,theequationsofelasticity.Twounifyingthemesareused.Thefirstisthatanunderstandingofplanewaveinteractionsisfundamentaltounderstandingmorecomplexwaveinteractions.Thesecondisthatwavesarebestunderstoodinanasymptoticapproximationwheretheyarefreeoftheco

3、m-plicationsoftheirexcitationandaregovernedprimarilybytheirpropagationenvironments.Thetopicscoveredincludereflection,refraction,propagationofinterfacialwaves,integralrepresentations,radiationanddiffraction,andprop-agationinclosedandopenwaveguides.LinearElasticWavesisanadvancedlevelte

4、xtbookdirectedatappliedmathe-maticians,seismologists,andengineers.JohnG.Harrisreceivedanundergraduatedegree(honors)in1971fromMcGillUniversity,wherehestudiedelectricalengineeringandgainedalastinginterestinwavepropagation.In1979,hereceivedadoctoraldegreeinappliedmathe-maticsfromNorthw

5、esternUniversityforathesisonelastic-wavediffractionproblems.Followingthis,hejoinedtheTheoreticalandAppliedMechan-icsDepartmentattheUniversityofIllinois(Urbana-Champaign),whereheteachesdynamicsandmathematicalmethodsandcarriesoutresearchonelastic-waveproblemsatmicrowavefrequencies.Heh

6、asusedasymptoticmethodsofanalysistoexplorediffractionandimaging,propagationandscatteringofinterfacialwaves,andwaveguiding.CambridgeTextsinAppliedMathematicsMaximumandMinimumPrinciplesM.J.SEWELLSolitonsP.G.DRAZINANDR.S.JOHNSONTheKinematicsofMixingJ.M.OTTINOIntroductiontoNumericalLine

7、arAlgebraandOptimisationPHILIPPEG.CIARLETIntegralEquationsDAVIDPORTERANDDAVIDS.G.STIRLINGPerturbationMethodsE.J.HINCHTheThermomechanicsofPlasticityandFractureGERARDA.MAUGINBoundaryIntegralandSingularityMethodsforLinearizedViscousFlowC.POZRIKIDISNonlinearWaveProcessesinAcousticsK.NAU

8、GOLNYKHANDL.OSTROVS