Stress, Vibration, and Wave Analysis in Aerospace Composites

SHM and NDE Applications

1st Edition - June 16, 2022
Author: Victor Giurgiutiu
Language: English
Paperback ISBN:
9 7 8 - 0 - 1 2 - 8 1 3 3 0 8 - 8
eBook ISBN:
9 7 8 - 0 - 1 2 - 8 1 3 3 0 9 - 5

Stress, Vibration, and Wave Analysis in Aerospace Composites: SHM and NDE Applications presents a unified approach to studying and understanding stress, vibrations and waves in… Read more

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Stress, Vibration, and Wave Analysis in Aerospace Composites: SHM and NDE Applications presents a unified approach to studying and understanding stress, vibrations and waves in composite materials used in aerospace applications. Combining topics that are typically found across an array of various sources, the book starts by looking at the properties of various composite materials, progresses to coverage of an analysis of stress, vibration and waves and then concludes with a discussion of various structural health monitoring (SHM) and nondestructive evaluation (NDE) techniques and applications based on the analysis developed earlier in the book.

Every chapter of the book contains a variety of worked-out examples to illustrate and tie together underlying theory and specific applications. The MATLAB code used to generate these examples is available on the book’s companion website, as are solution documents and additional MATLAB code for problems and exercises featured in each chapter.

Cover image
Title page
Table of Contents
Copyright
Dedication
Acknowledgments
Chapter 1. Introduction
Abstract
Outline
1.1 Preamble
1.2 Why use aerospace composites?
1.3 What are aerospace composites?
1.4 Evolution of aerospace composites
1.5 Today’s aerospace composites
1.6 Challenges for aerospace composites
1.7 About this book
References
Chapter 2. Fundamentals of aerospace composite materials
Abstract
Outline
2.1 Introduction
2.2 Anisotropic elasticity
2.3 Unidirectional composite properties
2.4 Induced-strain effects
2.5 Rotations
2.6 Composites failure
2.7 Worked-out examples
2.8 Problems and exercises
References
Further reading
Chapter 3. Classical lamination theory
Abstract
Outline
3.1 Introduction
3.2 Plane-stress elastic properties of a composite ply
3.3 Love–Kirchhoff plate theory for axial–flexural deformation of composite plates
3.4 Classical lamination theory analysis of composite plates
3.5 ABD matrices for various laminates
3.6 The direct and inverse problems
3.7 Induced strain effects
3.8 Progressive failure analysis
3.9 Basic CLT worked-out examples
3.10 Axial-load failure examples
3.11 Shear-load failure examples
3.12 Quasi-isotropic composite failure examples
3.13 Flexural failure examples
3.14 Twist failure examples
3.15 Progressive failure examples
3.16 Piezocomposite examples
3.17 Discussion of example results
3.18 Problems and exercises
References
Further reading
Chapter 4. Deformation and stress of aerospace composites
Abstract
Outline
4.1 Introduction
4.2 Equilibrium equations and boundary conditions in terms of stress resultants
4.3 Isotropic-plate analysis in terms of displacements
4.4 Series solution for simply supported isotropic plates under flexural load
4.5 Composite-plate analysis in terms of displacements
4.6 Induced-strain effects in composite plate analysis
4.7 Simply supported orthotropic composite plates
4.8 Examples of postcure deformation due to thermal effects
4.9 Example of piezo composite deformation analysis: THUNDER actuator
4.10 Example: SS isotropic aluminum plate
4.11 Examples: SS unidirectional CFRP plate under uniform load
4.12 Example: SS unidirectional CFRP plate under point load
4.13 Example: SS crossply CFRP plate under uniform load
4.14 Example: SS crossply CFRP plate under point load
4.15 Example: comparison between CFRP and aluminum plates
4.16 Problems and exercises
References
Further reading
Chapter 5. Vibration of aerospace composites
Abstract
Outline
5.1 Introduction
5.2 Equations of motion and boundary conditions in terms of stress resultants
5.3 Free vibration of composite plates
5.4 Vibration of simply supported orthotropic composite plates
5.5 Dynamic response of composite plates
5.6 Dynamic response of simply supported orthotropic composite plates
5.7 Vibration examples
5.8 Dynamic response examples
5.9 FEM examples
5.10 Summary and conclusions
5.11 Problems and exercises
References
Further reading
Chapter 6. Bulk waves in aerospace composites
Abstract
Outline
6.1 Introduction
6.2 Generic waves and harmonic waves
6.3 Equation of motion
6.4 Directional dependence of wavespeed and polarization vector in anisotropic composites
6.5 Excitation of ultrasonic waves in anisotropic composites
6.6 Group velocity
6.7 Energy velocity
6.8 Relation between slowness surface, ray surface, wavenumber, and group velocity
6.9 Examples: wave propagation in isotropic aluminum
6.10 Examples: wave propagation in unidirectional CFRP composite
6.11 Example: wave propagation in orthotropic CFRP composite
6.12 Example: propagation in a rotated coordinate system
6.13 Summary and conclusions
Problems and exercises
References
Further reading
Chapter 7. Guided waves in aerospace composites via the semi-analytical finite element method
Abstract
Outline
7.1 Introduction
7.2 Straight-crested guided-waves in aerospace composites
7.3 Linear eigenvalue problem
7.4 Modal dispersion curves
7.5 Modeshapes
7.6 Power and energy
7.7 Energy velocity
7.8 Group velocity
7.9 Evanescent waves and complex wavenumbers plots
7.10 Guided-wave propagation in an arbitrary direction
7.11 Wavenumber, wavespeed, and slowness in an arbitrary direction
7.12 Rotated modeshapes
7.13 Power flow, energy velocity, and skew angle for wave propagation in an arbitrary direction
7.14 Group velocity
7.15 Examples
7.16 Problems and exercises
References
Chapter 8. Guided-wave excitation in aerospace composites
Abstract
Outline
8.1 Introduction
8.2 Excitation of straight-crested guided waves
8.3 Excitation of arbitrarily-crested guided waves
8.4 Time solution in the physical domain
8.5 Composite damping effects
8.6 Examples: straight-crested PWAS-excited composite guided waves
8.7 Examples: angle beam excitation of composite guided waves
8.8 Examples: composite guided waves excited by circular PWAS transducers
8.9 Problems and exercises
8.10 Appendices
References
Further readings
Chapter 9. Analytical methods for guided waves in aerospace composites
Abstract
Outline
9.1 Introduction
9.2 Partial waves in a composite ply
9.3 Guided waves in a composite ply
9.4 Guided waves in laminated composites
9.5 Numerical computation
Problems and exercises
References
Chapter 10. Structural health monitoring and nondestructive evaluation applications of the stress, vibration, and wave analysis in aerospace composites
Abstract
Outline
10.1 Introduction
10.2 Stress and strain monitoring
10.3 Damage detection by vibration methods
10.4 Bulk-wave applications
10.5 Guided wave monitoring
References
Appendix 1. Material properties
Index

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Victor Giurgiutiu