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Elastic Waves in Anisotropic Laminates 1st Edition by Gui Rong Liu, Xi ISBN 9780849310706 0849310709

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Elastic Waves in Anisotropic Laminates 1st Edition Gui-Rong Liu Digital Instant Download

Author(s): Gui-Rong Liu, Z. C. Xi
ISBN(s): 9780849310706, 0849310709
Edition: 1
File Details: PDF, 7.20 MB
Year: 2002
Language: english
SKU: EB-1839878 Category: Tags: ,

Elastic Waves in Anisotropic Laminates 1st Edition by Gui-Rong Liu, Z. C. Xi- Ebook PDF Instant Download/Delivery: 9780849310706, 0849310709
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Product details: 

ISBN 10: 0849310709

ISBN 13: 9780849310706

Author: Gui-Rong Liu, Z. C. Xi 
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.

Table of contents: 

1. Fundamentals of Waves in Elastic Solids

  • Introduction

  • Formulation of Longitudinal Wave in a Bar

  • Free Wave Motion in Infinite Bars

  • Free Wave Motion in a Finite Bar

  • Forced Wave Motion in an Infinite Bar

  • Forced Wave Motion in a Finite Bar

  • Transient Waves in an Infinite Bar

  • Remarks

2. Waves in Plates of Functionally Graded Material

  • Introduction

  • Element of Linear Property Variation

  • Boundary and Continuity Conditions

  • Transient Response

  • Evaluation of Confluent Hypergeometric Function

  • Examples

  • Remarks

3. Free Wave Motion in Anisotropic Laminates

  • Introduction

  • Basic Equations

  • Derivation of Dispersion Equation

  • Strain Energy Distribution

  • Examples

  • Remarks

4. Forced Wave Motion in Composite Laminates

  • Introduction

  • Basic Equations

  • Boundary and Interface Conditions

  • Displacement in the Wavenumber Domain

  • A Technique for the Inverse Fourier Integration

  • Response in Time Domain

  • Poles and Complex Paths

  • Examples

  • Remarks

5. Characteristics of Waves in Composite Laminates

  • Introduction

  • Dispersion Equation

  • Group Velocities

  • Phase Velocity Surface

  • Phase Slowness Surface

  • Phase Wave Surface

  • Group Velocity Surface

  • Group Slowness Surface

  • Group Wave Surface

  • Examples

  • Remarks

6. Free Wave Motion in Anisotropic Laminated Bars: Finite Strip Element Method

  • Introduction

  • System Equation

  • Examples

  • Remarks

7. Free Wave Motion in Composite Laminated Bars: Semi-Exact Method

  • Introduction

  • System Equation

  • Examples of Harmonic Waves in Bars

  • Edge Waves in Semi-Infinite Laminates

  • Remarks

8. Transient Waves in Composite Laminates

  • Introduction

  • HNM Formulation

  • Equation in Wavenumber Domain

  • Displacement in Wavenumber Domain

  • Response in Space-Time Domain

  • Response to Line Time-Step Load

  • Response to Point Time-Step Load

  • Techniques for Inverse Fourier Integral

  • Response to Transient Load of Arbitrary Time Function

  • Remarks

9. Waves in Functionally Graded Plates

  • Introduction

  • Dynamic System Equation

  • Dispersion Relation

  • Group Velocity

  • Response Analysis

  • Two-Dimensional Problem

  • Computational Procedure

  • Dispersion Curves

  • Transient Response to Line Time-Step Loads

  • Remarks

10. Waves in Anisotropic Functionally Graded Piezoelectric Plates

  • Introduction

  • Basic Equations

  • Approximated Governing Equations

  • Equations in Transform Domain

  • Characteristics of Waves in FBPM Plates

  • Transient Response Analysis

  • Interdigital Electrodes Excitation

  • Displacement and Electrostatic Potential Response

  • Computation Procedure

  • Dispersion Curves

  • Excitation of Time-Step Shear Force in y Direction

  • Excitation of a Line Electrode

  • Excitation of Interdigital Electrodes

  • Remarks

11. Strip Element Method for Stress Waves in Anisotropic Solids

  • Introduction

  • System Equation

  • SEM for Static Problems (Flamant’s Problem)

  • SEM for Dynamic Problems

  • Remarks

12. Wave Scattering by Cracks in Composite Laminates

  • Introduction

  • Governing Differential Equations

  • Particular Solution

  • Application of the SEM to Cracked Laminates

  • Solution in the Time Domain

  • Examples of Scattered Wave Fields

  • Characterization of Horizontal Cracks

  • Characterization of Vertical Surface-Breaking Cracks

  • Characterization of Middle Interior Vertical Cracks

  • Characterization of Arbitrary Interior Vertical Cracks

  • Remarks

13. Wave Scattering by Flaws in Composite Laminates

  • Introduction

  • Applications of the SEM to Plates Containing Flaws

  • Examples for Wave Scattering in Laminates

  • SH Waves in Sandwich Plates

  • Strip Element Equation for SH Waves

  • Particular Solution

  • Complementary Solution

  • General Solution

  • SH Waves Scattered by Flaws

  • Remarks

14. Bending Waves in Anisotropic Laminated Plates

  • Introduction

  • Governing Equation

  • Strip Element Equation

  • Assembly of Element Equations

  • Static Problems for Orthotropic Laminated Plates

  • Wave Motion in Anisotropic Laminated Plates

15. Characteristics of Waves in Composite Cylinders

  • Introduction

  • Basic Equations

  • Dispersion Relations

  • Examples

  • Remarks

16. Wave Scattering by Cracks in Composite Cylinders

  • Introduction

  • Basic Equations

  • Axisymmetric Strip Element

  • Examples

  • Remarks

17. Inverse Identification of Impact Loads Using Elastic Waves

  • Introduction

  • Two-Dimensional Line Load

  • Two-Dimensional Extended Load

  • Three-Dimensional Concentrated Load

  • Examples

  • Remarks

18. Inverse Determination of Material Constants of Composite Laminates

  • Introduction

  • Inverse Operation

  • Uniform-Micro Genetic Algorithms

  • Examples

  • Remarks

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Tags: Gui Rong Liu, Xi, Elastic Waves, Anisotropic Laminates