January 4, 2019 Forthcoming
Textbook - 382 Pages - 7 Color & 203 B/W Illustrations
ISBN 9781138035942 - CAT# K31773
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This book presents necessary background knowledge on mechanics to understand and analyze elastic wave propagation in solids and fluids. This knowledge is necessary for elastic wave propagation modeling and for interpreting experimental data generated during ultrasonic nondestructive testing and evaluation (NDT&E). The book covers both linear and nonlinear analyses of ultrasonic NDT&E techniques. The materials presented here also include some exercise problems and solution manual. Therefore, this book can serve as a textbook or reference book for a graduate level course on elastic waves and/or ultrasonic nondestructive evaluation. It will be also useful for instructors who are interested in designing short courses on elastic wave propagation in solids or NDT&E.
The materials covered in the first two chapters provide the fundamental knowledge on linear mechanics of deformable solids while Chapter 4 covers nonlinear mechanics. Thus, both linear and nonlinear ultrasonic techniques are covered here. Nonlinear ultrasonic techniques are becoming more popular in recent years for detecting very small defects and damages. However, this topic is hardly covered in currently available textbooks. Researchers mostly rely on published research papers and research monographs to learn about nonlinear ultrasonic techniques. Chapter 3 describes elastic wave propagation modeling techniques using DPSM. Chapter 5 is dedicated to an important and very active research field – acoustic source localization – that is essential for structural health monitoring and for localizing crack and other type of damage initiation regions.
Fundamentals of the Continuum Mechanics and the Theory of Elasticity. Deformation and Strain Tensor. Traction and Stress Tensor. Traction-Stress Tensor. Traction-Stress Relation. Equilibrium Equations. Definition of Tensor. Strain Transformation. Definition of Elastic Material and Stress-Strain Relation. Number of Independent Material Constants. Material Planes of Symmetry.Stress-Strain Relation for Isotropic Materials: Green's Approach.Time-Dependent Problems or Dynamic Problems.Interaction Between Plane Waves and Stress-Free Plane Boundary.Out-of-Plane or Antiplane Motion: SH-Wave. Interaction of P-and SV-Waves with Plane Interface. Rayleigh Wave in a Homogeneous Interface. Waves. Phase Velocity and Group Velocity. Point Source Excitation.Wave Propagation in Fluids. Reflection and Transmission of Plane Waves at a Fluid-Solid Interface.Guided Waves and Waveguides. Basic Equations: Homogeneous Elastic Plate Immersed in a Fluid. Guided Waves in Multilayered Plates. Guided Waves in Single-and Multilayered Composite Plates. Defect Detection in Multiayered Composite Plates.Guided Propagation in the Circumferential Direction of a Pipe.Guided Wave Propagation in the Axial Direction of a Pipe. Modeling a Finite Plane Source by a Distribution of Point Sources. Planar Piston Transducer in a Fluid. Ultrasonic Field in a Nonhomogeneous Fluid in Presence of an Interface. Ultrasonic Field in Multilayered Fluid Medium. Ultrasonic Field Computation in Presence of a Fluid-Solid Interface. DPSM Modeling for Transient Problems. Non-Linear Ultrasonic NDE. Use of Higher Harmonics for NDE. Nonlinear Wave Modulation Spectroscopy (NWMS). Nonlinear Resonant Ultrasonic Spectroscopy (NRUS). Subharmonic Phased Array for Crack Evaluation (SPACE). Collinear and Non-Collinear Wave Mixing Technique. Sideband Peak Count (SPC).
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