Ultrasonic guided waves in solid media:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York, NY
Cambridge Univ. Press
2014
|
Ausgabe: | 1. publ. |
Schlagworte: | |
Online-Zugang: | Ausführliche Beschreibung Inhaltsverzeichnis |
Beschreibung: | XXII, 512, [16] S. Ill., graph. Darst. |
ISBN: | 9781107048959 1107048958 |
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245 | 1 | 0 | |a Ultrasonic guided waves in solid media |c Joseph L. Rose |
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264 | 1 | |a New York, NY |b Cambridge Univ. Press |c 2014 | |
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adam_text | Contents
R
Nomenclature Paêe xih
Preface xix
Acknowledgments xxi
1 Introduction...........................................................1
1.1 Background 1
1.2 A Comparison of Bulk versus Guided Waves 3
1.3 What Is an Ultrasonic Guided Wave? 5
1.4 The Difference between Structural Health Monitoring (SHM)
and Nondestructive Testing (NDT) 7
1.5 Text Preview 7
1.6 Concluding Remarks 12
1.7 References 14
2 Dispersion Principles.................................................16
2.1 Introduction 16
2.2 Waves in a Taut String 16
2.2.1 Governing Wave Equation 16
2.2.2 Solution by Separation of Variables 17
2.2.3 DAlembert’s Solution 19
2.2.4 Initial Value Considerations 20
2.3 String on an Elastic Base 21
2.4 A Dispersive Wave Propagation Sample Problem 24
2.5 String on a Viscous Foundation 25
2.6 String on a Viscoelastic Foundation 26
2.7 Graphical Representations of a Dispersive System 26
2.8 Group Velocity Concepts 28
2.9 Exercises 32
2.10 References 35
3 Unbounded Isotropic and Anisotropic Media.............................36
3.1 Introduction 36
3.2 Isotropic Media 36
36
38
39
42
46
50
52
.53
53
53
58
60
63
64
66
67
67
68
68
71
72
74
74
75
.76
76
78
79
82
84
87
88
91
92
93
102
103
104
106
107
107
107
114
116
Contents
3.2.1 Equations of Motion
3.2.2 Dilatational and Distortional Waves
3.3 The Christoffel Equation for Anisotropic Media
3.3.1 Sample Problem
3.4 On Velocity, Wave, and Slowness Surfaces
3.5 Exercises
3.6 References
Reflection and Refraction......................................
4.1 Introduction
4.2 Normal Beam Incidence Reflection Factor
4.3 Snell’s Law for Angle Beam Analysis
4.4 Critical Angles and Mode Conversion
4.5 Slowness Profiles for Refraction and Critical Angle Analysis
4.6 Exercises
4.7 References
Oblique Incidence..............................................
5.1 Background
5.2 Reflection and Refraction Factors
5.2.1 Solid-Solid Boundary Conditions
5.2.2 Solid-Liquid Boundary Conditions
5.2.3 Liquid-Solid Boundary Conditions
5.3 Moving Forward
5.4 Exercises
5.5 References
Waves in Plates................................................
6.1 Introduction
6.2 The Free Plate Problem
6.2.1 Solution by the Method of Potentials
6.2.2 The Partial Wave Technique
6.3 Numerical Solution of the Rayleigh-Lamb Frequency Equations
6.4 Group Velocity
6.5 Wave Structure Analysis
6.6 Compressional and Flexural Waves
6.7 Miscellaneous Topics
6.7.1 Lamb Waves with Dominant Longitudinal Displacements
6.7.2 Zeros and Poles for a Fluid-Coupled Elastic Layer
6.7.3 Mode Cutoff Frequency
6.8 Exercises
6.9 References
Surface and Subsurface Waves.....................................
7.1 Background
7.2 Surface Waves
73 Generation and Reception of Surface Waves
7.4 Subsurface Longitudinal Waves
117
118
120
120
120
120
125
126
128
129
129
130
132
133
134
135
135
136
140
141
142
142
142
142
143
143
145
153
153
154
155
155
155
155
164
166
171
172
174
174
175
176
Contents
7.5 Exercises
7.6 References
Finite Element Method for Guided Wave Mechanics................
8.1 Introduction
8.2 Overview of the Finite Element Method
8.2.1 Using the Finite Element Method to Solve a Problem
8.2.2 Quadratic Elements
8.2.3 Dynamic Problem
8.2.4 Error Control
8.3 FEM Applications for Guided Wave Analysis
8.3.1 2-D Surface Wave Generation in a Plate
8.3.2 Guided Wave Defect Detection in a Two-Inch Steel Tube
8.4 Summary
8.5 Exercises
8.6 References
The Semi-Analytical Finite Element Method......................
9.1 Introduction
9.2 SAFE Formulation for Plate Structures
9.3 Orthogonality-Based Mode Sorting
9.4 Group Velocity Dispersion Curves
9.5 Guided Wave Energy
9.5.1 Poynting Vector
9.5.2 Energy Velocity
9.5.3 Skew Effects in Anisotropic Plates
9.6 Solution Convergence of the SAFE Method
9.7 Free Guided Waves in an Eight-Layer Quasi-Isotropic Plate
9.8 SAFE Formulation for Cylindrical Structures
9.9 Summary
9.10 Exercises
9.11 References
Guided Waves in Hollow Cylinders.................................
10.1 Introduction
10.2 Guided Waves Propagating in an Axial Direction
10.2.1 Analytic Calculation Approach
10.2.2 Excitation Conditions and Angular Profiles
10.2.3 Source Influence
10.3 Exercises
10.4 References
Circumferential Guided Waves...................................
11.1 Introduction
11.2 Development of the Governing Wave Equations for
Circumferential Waves
11.2.1 Circumferential Shear Horizontal Waves in a
Single-Layer Annulus
Contents
VIII
11.2.2 Circumferential Lamb Type Waves in a
Single-Layer Annulus 180
11.3 Extension to Multilayer Annuli 184
11.4 Numerical Solution of the Governing Wave Equations for
Circumferential Guided Waves 187
11.4.1 Numerical Results for CSH-Waves 188
11.4.2 Numerical Results for CLT-Waves 193
11.4.3 Computational Limitations of the Analytical Formulation 199
11.5 The Effects of Protective Coating on Circumferential Wave
Propagation in Pipe 202
11.6 Exercises 205
11.7 References 206
12 Guided Waves in Layered Structures...................................209
12.1 Introduction 209
12.2 Interface Waves 210
12.2.1 Waves at a Solid-Solid Interface: Stoneley Wave 210
12.2.2 Waves at a Solid-Liquid Interface: Scholte Wave 213
12.3 Waves in a Layer on a Half-Space 215
12.3.1 Rayleigh-Lamb Type Waves 215
12.3.2 Love Waves 219
12.4 Waves in Multiple Layers 221
12.4.1 The Global Matrix Method 222
12.4.2 The Transfer Matrix Method 227
12.4.3 Examples 230
12.5 Fluid-Coupled Elastic Layers 233
12.5.1 Ultrasonic Wave Reflection and Transmission 234
12.5.2 Leaky Guided Wave Modes 242
12.5.3 Nonspecular Reflection and Transmission 243
12.6 Exercises 244
12.7 References 245
13 Source Influence on Guided Wave Excitation......................... 246
13.1 Introduction 246
13.2 Integral Transform Method 247
13.2.1 A Shear Loading Example 247
13.3 Normal Mode Expansion Method 251
13.3.1 Normal Mode Expansion in Harmonic Loading 253
13.3.2 Transient Loading Source Influence 257
13.4 Exercises 267
13.5 References 268 14
14 Horizontal Shear.....................................................269
14.1 Introduction 269
14.2 Dispersion Curves 269
14.3 Phase Velocities and Cutoff Frequencies 272
14.4 Group Velocity 273
14.5 Summary 274
275
275
276
276
277
281
286
287
292
293
294
294
295
303
307
310
316
319
321
321
322
.323
323
324
324
324
325
326
327
328
329
329
330
333
333
334
340
342
343
.345
345
350
357
357
358
Contents
14.6 Exercises
14.7 References
Guided Waves in Anisotropic Media...................................
15.1 Introduction
15.2 Phase Velocity Dispersion
15.3 Guided Wave Directional Dependency
15.4 Guided Wave Skew Angle
15.5 Guided Waves in Composites with Multiple Layers
15.6 Exercises
15.7 References
Guided Wave Phased Arrays in Piping.................................
16.1 Introduction
16.2 Guided Wave Phased Array Focus Theory
16.3 Numerical Calculations
16.4 Finite Element Simulation of Guided Wave Focusing
16.5 Active Focusing Experiment
16.6 Guided Wave Synthetic Focus
16.7 Synthetic Focusing Experiment
16.8 Summary
16.9 Exercises
16.10 References
Guided Waves in Viscoelastic Media..................................
17.1 Introduction
17.2 Viscoelastic Models
17.2.1 Material Viscoelastic Models
17.2.2 Kelvin-Voight Model
17.2.3 Maxwell Model
172.4 Further Aspects of the Hysteretic and Kelvin-Voight Models
17.3 Measuring Viscoelastic Parameters
17.4 Viscoelastic Isotropic Plate
17.5 Viscoelastic Orthotropic Plate
17.5.1 Problem Formulation and Solution
175.2 Numerical Results
175.3 Summary
17.6 Lamb Waves in a Viscoelastic Layer
17.7 Viscoelastic Composite Plate
17.8 Pipes with Viscoelastic Coatings
17.9 Exercises
17.10 References
Ultrasonic Vibrations...............................................
18.1 Introduction
18.2 Practical Insights into the Ultrasonic Vibrations Problem
18.3 Concluding Remarks
18.4 Exercises
18.5 References
X
Contents
19 Guided Wave Array Transducers *.....................................359
19.1 Introduction 359
19.2 Analytical Development 360
19.2.1 Linear Comb Array Solution 361
19.2.2 Annular Array Solution 366
19.3 Phased Transducer Arrays for Mode Selection 370
19.3.1 Phased Array Analytical Development 370
19.3.2 Phased Array Analysis 371
19.4 Concluding Remarks 376
19.5 Exercises 376
19.6 References 377
20 Introduction to Guided Wave Nonlinear Methods.......................378
20.1 Introduction 378
20.2 Bulk Waves in Weakly Nonlinear Elastic Media 379
20.3 Measurement of the Second Harmonic 380
20.4 Second Harmonic Generation Related to Microstructure 383
20.5 Weakly Nonlinear Wave Equation 384
20.6 Higher Harmonic Generation in Plates 388
20.6.1 Synchronism 388
20.6.2 Power Flux 391
20.6.3 Group Velocity Matching 393
20.6.4 Sample Laboratory Experiments 393
20.7 Applications of Higher Harmonic Generation by Guided Waves 399
20.8 Exercises 399
20.9 References 400
21 Guided Wave Imaging Methods..........................................402
21.1 Introduction 402
21.2 Guided Wave through Transmission Dual Probe Imaging 402
21.3 Defect Locus Map 407
21.4 Guided Wave Tomographic Imaging 408
21.5 Guided Wave Phased Array in Plates 412
21.6 Long-Range Ultrasonic Guided Wave Pipe Inspection Images 417
21.7 Exercises 418
21.8 References 419
Appendix A - Ultrasonic Nondestructive Testing Principles, Analysis, and
Display Technology......................................................421
A.l Some Physical Principles 421
A.2 Wave Interference 425
A.3 Computational Model for a Single Point Source 425
A.4 Directivity Function for a Cylindrical Element 430
A.5 Ultrasonic Field Presentations 432
A.6 Near-Field Calculations 433
A.7 Angle-of-Divergence Calculations 434
A.8 Ultrasonic Beam Control 435
A.9 A Note on Ultrasonic Field Solution Techniques 435
Contents
XI
A.10 Time and Frequency Domain Analysis 436
A.11 Pulsed Ultrasonic Field Effects 436
A. 12 Introduction to Display Technology 440
A.13 Amplitude Reduction of an Ultrasonic Waveform 441
A. 14 Resolution and Penetration Principles 441
A.14.1 Axial Resolution 441
АЛ4.2 Lateral Resolution 442
A.15 Phased Arrays and Beam Focusing 443
A.16 Exercises 443
A.17 References 444
Appendix В - Basic Formulas and Concepts in the Theory of Elasticity.....445
B.l Introduction 445
B.2 Nomenclature 445
B.3 Stress, Strain, and Constitutive Equations 448
B.4 Elastic Constant Relationships 448
B.5 Vector and Tensor Transformation 449
B.6 Principal Stresses and Strains 449
B.7 The Strain Displacement Equations 450
B.8 Derivation of the Governing Wave Equation 452
B.9 Anisotropic Elastic Constants 452
B.10 Exercises 455
B. ll References 455
Appendix C - Physically Based Signal Processing Concepts
for Guided Waves.........................................................456
C. l General Concepts 456
C.2 The Fast Fourier Transform (FFT) 457
C.2.1 Example FFT Use: Analytic Envelope 460
C.2.2 Example FFT Use: Feature Source for Pattern
Recognition 462
C.2.3 Discrete Fourier Transform Properties 462
C.3 The Short Time Fourier Transform (STFFT) 463
C. 3.1 Example: STFFT to Dispersion Curves 466
C.4 The 2-D Fourier Transform (2DFFT) 467
C.5 The Wavelet Transform (WT) 472
C6 Exercises 477
C. l References 477
Appendix D - Guided Wave Mode and Frequency Selection Tips...............478
D. l Introduction 478
D.2 Mode and Frequency Selection Considerations 480
D. 2.1 A Surface-Breaking Defect 481
D.2.2 Mild Corrosion and Wall Thinning 482
D.2.3 Transverse Crack Detection in the Head of a Rail 485
D.2.4 Repair Patch Bonded to an Aluminum Layer 487
D.2.5 Water-Loaded Structures 487
D.2.6 Frequency and Other Tuning Possibilities 489
Contents
D.2.7 Ice Detection with Ultrasonic Guided Waves 491
D2.8 Deicing 492
D.2.9 Real-Time Phased Array Focusing in Pipe 493
D.2T0 Aircraft, Lap Splice,Tear Strap, and Skin-to-Core
Delamination Inspection Potential 495
D.2.11 Coating Delamination and Axial Crack Detection 498
D.2.12 Multilayer Structures 502
D.2.13 Concluding Remarks 502
D.3 Exercises 503
D.4 References 505
Index 507
Plate section follows page 266
|
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id | DE-604.BV042250873 |
illustrated | Illustrated |
indexdate | 2024-07-10T01:16:25Z |
institution | BVB |
isbn | 9781107048959 1107048958 |
language | English |
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physical | XXII, 512, [16] S. Ill., graph. Darst. |
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publisher | Cambridge Univ. Press |
record_format | marc |
spelling | Rose, Joseph L. Verfasser aut Ultrasonic guided waves in solid media Joseph L. Rose 1. publ. New York, NY Cambridge Univ. Press 2014 XXII, 512, [16] S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wave mechanics Ultrasonic testing Attenuation (Physics) Ultraschall (DE-588)4061555-8 gnd rswk-swf Wellenmechanik (DE-588)4127857-4 gnd rswk-swf Werkstoffprüfung (DE-588)4037934-6 gnd rswk-swf Ultraschallprüfung (DE-588)4061563-7 gnd rswk-swf Wellenmechanik (DE-588)4127857-4 s Ultraschallprüfung (DE-588)4061563-7 s DE-604 Werkstoffprüfung (DE-588)4037934-6 s Ultraschall (DE-588)4061555-8 s text/html http://www.cambridge.org/de/academic/subjects/engineering/solid-mechanics-and-materials/ultrasonic-guided-waves-solid-media?format=HB Ausführliche Beschreibung Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027688851&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Rose, Joseph L. Ultrasonic guided waves in solid media Wave mechanics Ultrasonic testing Attenuation (Physics) Ultraschall (DE-588)4061555-8 gnd Wellenmechanik (DE-588)4127857-4 gnd Werkstoffprüfung (DE-588)4037934-6 gnd Ultraschallprüfung (DE-588)4061563-7 gnd |
subject_GND | (DE-588)4061555-8 (DE-588)4127857-4 (DE-588)4037934-6 (DE-588)4061563-7 |
title | Ultrasonic guided waves in solid media |
title_auth | Ultrasonic guided waves in solid media |
title_exact_search | Ultrasonic guided waves in solid media |
title_full | Ultrasonic guided waves in solid media Joseph L. Rose |
title_fullStr | Ultrasonic guided waves in solid media Joseph L. Rose |
title_full_unstemmed | Ultrasonic guided waves in solid media Joseph L. Rose |
title_short | Ultrasonic guided waves in solid media |
title_sort | ultrasonic guided waves in solid media |
topic | Wave mechanics Ultrasonic testing Attenuation (Physics) Ultraschall (DE-588)4061555-8 gnd Wellenmechanik (DE-588)4127857-4 gnd Werkstoffprüfung (DE-588)4037934-6 gnd Ultraschallprüfung (DE-588)4061563-7 gnd |
topic_facet | Wave mechanics Ultrasonic testing Attenuation (Physics) Ultraschall Wellenmechanik Werkstoffprüfung Ultraschallprüfung |
url | http://www.cambridge.org/de/academic/subjects/engineering/solid-mechanics-and-materials/ultrasonic-guided-waves-solid-media?format=HB http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027688851&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT rosejosephl ultrasonicguidedwavesinsolidmedia |