Elastic Waves in Anisotropic Laminates: 1st Edition (Hardback) book cover

Elastic Waves in Anisotropic Laminates

1st Edition

By G.R. Liu, Z. C. Xi

CRC Press

472 pages | 170 B/W Illus.

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Hardback: 9780849310706
pub: 2001-11-13
$290.00
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Description

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

FUNDAMENTS 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

Forces Wave Motion in an Infinite Bar

Forced Wave Motion in a Finite Bar

Transient Waves in an Infinite Bar

Remarks

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

FREE WAVE MOTION IN ANISOTROPIC LAMINATES

Introduction

Basic Equations

Derivation of Dispersion Equation

Strain Energy Distribution

Examples

Remarks

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

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

FREE WAVE MOTION IN ANISOTROPIC LAMINATED BARS: FINITE STRIP ELEMENT METHOD

Introduction

System Equation

Examples

Remarks

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

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

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

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 Electrostatics 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

STRIP ELEMENT METHOD FOR STRESS WAVES IN ANISOTROPIC SOLIDS

Introduction

System Equation

SEM for Static Problems (Flamant's Problem)

SEM for Dynamic Problems

Remarks

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

WAVES 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

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

CHARACTERISTICS OF WAVES IN COMPOSITE CYLINDERS

Introduction

Basic Equations

Dispersion Relations

Examples Remarks

WAVE SCATTERING BY CRACKS IN COMPOSITE CYLINDERS

Introduction

Basic Equations

Axisymmetric Strip Element

Examples

Remarks

INVERSE IDENTIFICATION OF IMPACT LOADS USING ELASTIC WAVES

Introduction

Two-dimensional Line Load

Two-dimensional Extended Load

Three-dimensional Concentrated Load

Examples

Remarks

INVERSE DETERMINATION OF MATERIAL CONSTANTS OF COMPOSITE LAMINATES

Introduction

Inverse Operation

Uniform-Micro Genetic Algorithms

Examples

Remarks

Subject Categories

BISAC Subject Codes/Headings:
TEC009020
TECHNOLOGY & ENGINEERING / Civil / General
TEC021000
TECHNOLOGY & ENGINEERING / Material Science