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Elastic Waves in Anisotropic Laminates

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

CRC Press

Pubblicazione: 11/2001
Edizione: 1° edizione





Trama

This book presents a set of high-performance, analytical-numerical methods for elastic wave analysis of anisotropic layered structures. A number of advanced techniques are discussed, including the strip element method and methods that combine the finite element method and the Fourier transform approaches. Methods for solving inverse problems using elastic waves are also presented. Relevant to a diverse audience of students in science and engineering disciplines, structural, mechanical, and civil engineers, electronic packaging specialists, biomedical engineers, and thin film researchers in data storage areas, this will prove itself an indispensable reference for those engaged in the use of laminates, and in handling NDE problems




Note Editore

Ultrasonic non-destructive evaluation (NDE) plays an increasingly important role in determining properties and detecting defects in composite materials, and the analysis of wave behavior is crucial to effectively using NDE techniques. The complexity of elastic wave propagation in anisotropic media has led to a reliance on numerical methods of analysis-methods that are often quite time-consuming and whose results yield even further difficulties in extracting explicit phenomena and characteristics.Innovative and insightful, Elastic Waves in Anisotropic Laminates establishes a set of high-performance, analytical-numerical methods for elastic wave analysis of anisotropic layered structures. The treatment furnishes a comprehensive introduction, sound theoretical development, and applications to smart materials, plates, and shells. The techniques, detailed in both the time and frequency domains, include methods that combine the finite element method (FEM) with the Fourier transform approach and the strip element method (SEM). These -methods can also be used for expediently finding the Green's function for anisotropic laminates useful for inverse problems related to wave propagation, and methods for inverse analyses, including conjugate gradient methods, and genetic algorithms are also introduced.The text is complemented by many examples generated using software codes based on the techniques developed. Filled with charts and illustrations, Elastic Waves in Anisotropic Laminates is accessible even to readers from non-engineering backgrounds and offers a unique opportunity to discover methods that can lead to an understanding of the dynamic characteristics and wave motion behaviors of advanced composite materials.




Sommario

FUNDAMENTS OF WAVES IN ELASTIC SOLIDSIntroductionFormulation of Longitudinal Wave in a BarFree Wave Motion in Infinite BarsFree Wave Motion in a Finite BarForces Wave Motion in an Infinite BarForced Wave Motion in a Finite BarTransient Waves in an Infinite BarRemarksWAVES IN PLATES OF FUNCTIONALLY GRADED MATERIALIntroductionElement of Linear Property VariationBoundary and Continuity ConditionsTransient ResponseEvaluation of Confluent Hypergeometric FunctionExamplesRemarksFREE WAVE MOTION IN ANISOTROPIC LAMINATESIntroductionBasic EquationsDerivation of Dispersion EquationStrain Energy DistributionExamplesRemarksFORCED WAVE MOTION IN COMPOSITE LAMINATESIntroductionBasic EquationsBoundary and Interface ConditionsDisplacement in the Wavenumber DomainA Technique for the Inverse Fourier IntegrationResponse in Time DomainPoles and Complex PathsExamplesRemarksCHARACTERISTICS OF WAVES IN COMPOSITE LAMINATESIntroductionDispersion EquationGroup VelocitiesPhase Velocity SurfacePhase Slowness SurfacePhase Wave SurfaceGroup Velocity SurfaceGroup Slowness SurfaceGroup Wave SurfaceExamplesRemarksFREE WAVE MOTION IN ANISOTROPIC LAMINATED BARS: FINITE STRIP ELEMENT METHODIntroductionSystem EquationExamplesRemarksFREE WAVE MOTION IN COMPOSITE LAMINATED BARS: SEMI-EXACT METHODIntroductionSystem EquationExamples of Harmonic Waves in BarsEdge Waves in Semi-Infinite LaminatesRemarksTRANSIENT WAVES IN COMPOSITE LAMINATESIntroductionHNM FormulationEquation in Wavenumber DomainDisplacement in Wavenumber DomainResponse in Space-Time DomainResponse to Line Time-Step LoadResponse to Point Time-Step LoadTechniques for Inverse Fourier IntegralResponse to Transient Load of Arbitrary Time FunctionRemarksWAVES IN FUNCTIONALLY GRADED PLATESIntroductionDynamic System EquationDispersion RelationGroup Velocity Response AnalysisTwo-Dimensional ProblemComputational ProcedureDispersion CurvesTransient Response to Line Time-Step LoadsRemarksWAVES IN ANISOTROPIC FUNCTIONALLY GRADED PIEZOELECTRIC PLATESIntroductionBasic EquationsApproximated Governing EquationsEquations in Transform DomainCharacteristics of Waves in FBPM PlatesTransient Response AnalysisInterdigital Electrodes ExcitationDisplacement and Electrostatics Potential ResponseComputation ProcedureDispersion CurvesExcitation of Time-Step Shear Force in y DirectionExcitation of a Line ElectrodeExcitation of Interdigital ElectrodesRemarksSTRIP ELEMENT METHOD FOR STRESS WAVES IN ANISOTROPIC SOLIDSIntroductionSystem EquationSEM for Static Problems (Flamant's Problem)SEM for Dynamic ProblemsRemarksWAVE SCATTERING BY CRACKS IN COMPOSITE LAMINATESIntroductionGoverning Differential EquationsParticular SolutionApplication of the SEM to Cracked LaminatesSolution in the Time DomainExamples of Scattered Wave FieldsCharacterization of Horizontal CracksCharacterization of Vertical Surface-Breaking CracksCharacterization of Middle Interior Vertical CracksCharacterization of Arbitrary Interior Vertical CracksRemarksWAVES SCATTERING BY FLAWS IN COMPOSITE LAMINATESIntroductionApplications of the SEM to Plates Containing FlawsExamples for Wave Scattering in LaminatesSH Waves in Sandwich PlatesStrip Element Equation for SH WavesParticular SolutionComplementary SolutionGeneral SolutionSH Waves Scattered by FlawsRemarksBENDING WAVES IN ANISOTROPIC LAMINATED PLATESIntroductionGoverning EquationStrip element EquationAssembly of Element EquationsStatic Problems for Orthotropic Laminated PlatesWave Motion in Anisotropic Laminated PlatesCHARACTERISTICS OF WAVES IN COMPOSITE CYLINDERSIntroductionBasic EquationsDispersion RelationsExamples RemarksWAVE SCATTERING BY CRACKS IN COMPOSITE CYLINDERSIntroductionBasic EquationsAxisymmetric Strip ElementExamplesRemarksINVERSE IDENTIFICATION OF IMPACT LOADS USING ELASTIC WAVESIntroductionTwo-dimensional Line LoadTwo-dimensional Extended LoadThree-dimensional Concentrated LoadExamplesRemarksINVERSE DETERMINATION OF MATERIAL CONSTANTS OF COMPOSITE LAMINATESIntroductionInverse OperationUniform-Micro Genetic AlgorithmsExamplesRemarks










Altre Informazioni

ISBN:

9780849310706

Condizione: Nuovo
Dimensioni: 9.25 x 6.25 in Ø 1.73 lb
Formato: Copertina rigida
Illustration Notes:170 b/w images, 30 tables, 3 halftones and 1114 equations
Pagine Arabe: 472


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