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1998 | Buch

Fundamentals of Ultrasonic Nondestructive Evaluation

A Modeling Approach

verfasst von: Lester W. Schmerr Jr.

Verlag: Springer US

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Über dieses Buch

Ultrasound is currently used in a wide spectrum of applications ranging from medical imaging to metal cutting. This book is about using ultrasound in nondestructive evaluation (NDE) inspections. Ultrasonic NDE uses high-frequency acoustic/elastic waves to evaluate components without affecting their integrity or performance. This technique is commonly used in industry (particularly in aerospace and nuclear power) to inspect safety-critical parts for flaws during in-service use. Other important uses of ultrasonic NDE involve process control functions during manufacturing and fundamental materials characterization studies. It is not difficult to set up an ultrasonic NDE measurement system to launch waves into a component and monitor the waves received from defects, such as cracks, even when those defects are deep within the component. It is difficult however to interpret quantitatively the signals received in such an ultrasonic NDE measurement process. For example based on the ultrasonic signal received from a crack, what is the size, shape, and orientation of the crack producing the signal? Answering such questions requires evaluation procedures based on a detailed knowledge of the physics of the entire ultrasonic measurement process. One approach to obtaining such knowledge is to couple quantitative experiments closely with detailed models of the entire ultrasonic measurement system itself. We refer to such models here as ultrasonic NDE measurement models. In other areas of engineering, models have revolutionized how engineering is practiced. A classic example is the impact of the finite-element method on elastic stress analysis.

Inhaltsverzeichnis

Frontmatter
Chapter 1. An Ultrasonic System
Abstract
This book is about developing quantitative models of ultrasonic systems—models that can describe the physics of an ultrasonic measurement process. Specifically the focus is the type of ultrasonic systems used for nondestructive evaluation (NDE) applications. However many of the models derived are applicable to other uses of ultrasound and to other areas involving wave propagation, such as acoustics or seismology.
Lester W. Schmerr Jr.
Chapter 2. Linear Systems and the Fourier Transform
Abstract
In Chap. 1 we saw that an ultrasonic system has many components. Those components individually can be complex electromechanical systems, such as ultrasonic transducers. To model each of the elements that go into an ultrasonic system and how they work together to produce a measured response is a challenging task indeed. In this chapter we present a very general modeling framework of linear time-shift invariant (LTI) systems which we use to describe a complete ultrasonic NDE measurement system. Many of the remaining chapters provide details for this general framework which will be combined to produce an explicit model of the entire ultrasonic measurement process.
Lester W. Schmerr Jr.
Chapter 3. Fundamentals
Abstract
In Chap. 2 we modeled an ultrasonic system as a series of LTI systems, each describing a particular process. Most of those processes involved phenomena associated with wave motion, such as generating pressure waves in a fluid, transmitting pressure waves into a solid in the form of elastic waves, scattering those elastic waves by flaws, etc. Chapter 3 develops fundamental equations governing both pressure waves in a fluid and elastic waves in a solid. In later chapters in this book, these equations provide the basis for obtaining explicit mathematical models for many LTI systems contained in an NDE ultrasonic measurement.
Lester W. Schmerr Jr.
Chapter 4. Propagation of Bulk Waves
Abstract
Chapter 4 describes propagation characteristics of bulk waves in fluid and solid media. Both plane and spherical waves are considered. Spherical wave solutions in particular are shown to be useful in describing bulk waves generated from point sources (also called fundamental solutions). In later chapters such fundamental solutions form building blocks for more general problems.
Lester W. Schmerr Jr.
Chapter 5. Reciprocal Theorem and Other Integral Relations
Abstract
Chapter 5 develops reciprocal theorems for both fluids and elastic solids, then combines fundamental solutions derived in Chap. 4 with those theorems to obtain general integral representation expressions and integral equations. We also develop a more generalized electromechanical reciprocity theorem that is applicable to all elements (electrical, piezoelectric, and mechanical) of an ultrasonic measurement system. Results from this chapter serve as the foundation for many later applications, including transducer modeling (Chap. 8), flaw scattering (Chap. 10), and a general model of the entire ultrasonic measurement process (Chap. 12).
Lester W. Schmerr Jr.
Chapter 6. Reflection and Refraction of Bulk Waves
Abstract
When an incident bulk wave interacts with an interface, such as the boundary between a fluid and a solid, as found in immersion testing, both reflected and transmitted bulk waves are generated. Chapter 6 describes general properties of reflected and refracted waves for the case when a planar wave is incident on a plane interface. In the process a variety of concepts are introduced, such as acoustic impedance, Snell’s law, critical angles, pulse distortion, and inhomogeneous waves.
Lester W. Schmerr Jr.
Chapter 7. Propagation of Surface and Plate Waves
Abstract
Although bulk P- and S-waves are the types of waves most commonly used in NDE testing, other types of waves may exist in elastic solids that are useful as well. In Chap. 7, we briefly consider properties of surface (Rayleigh) and plate waves that make them attractive for special NDE inspection applications.
Lester W. Schmerr Jr.
Chapter 8. Ultrasonic Transducer Radiation
Abstract
Ultrasonic transducers are used both as transmitters to project a beam of sound into a material and as receivers to convert received sound into electrical energy. Chapter 8 models the sound beam generated by bulk wave transducers acting as transmitters. In later chapters we show that the properties of both transmitted and received sound beams appear in an LTI model in the form of diffraction correction terms. Thus explicit diffraction correction expressions are obtained here for both focused and unfocused transducers in many common testing configurations.
Lester W. Schmerr Jr.
Chapter 9. Material Attenuation and Efficiency Factors
Abstract
The models of wave propagation described in previous chapters treated the underlying fluids and/or solids as perfect, nonattenuating media. Real materials however do exhibit attenuation that must be accounted for in any complete description of an ultrasonic measurement system. Since the processes that generate material attenuation are generally quite complex, we do not attempt to model those processes in detail. Instead we use a simple phenomenological attenuation model and detailed experimental measurements in an explicitly modeled calibration setup.
Lester W. Schmerr Jr.
Chapter 10. Flaw Scattering
Abstract
When a beam of ultrasound interacts with a flaw in a material, additional scattered waves are generated by the flaw; these waves travel in all directions. The distribution of scattered waves of course, depends strongly on the geometric and material properties of the flaw. In this chapter we characterize scattering responses of flaws in terms of their far-field scattering amplitudes, and we describe both exact and approximate methods of calculating scattering amplitudes. The scattering amplitude is a quantity of fundamental interest, since as shown later this quantity completely characterizes the flaw response in an LTI model of an ultrasonic system.
Lester W. Schmerr Jr.
Chapter 11. Transducer Reception Process
Abstract
From results obtained in Chaps. 8 and 10, we know how to model the incident sound beam produced by a transducer and the waves scattered from a flaw due to such an incident wave field. In this chapter we model the reception of those scattered waves at the face of a receiving transducer. In the paraxial approximation, the reception process like the transmission process can be characterized by a diffraction correction term. This diffraction correction term and an additional factor due to averaging the waves over the receiver face constitute the reception term in an LTI model of an ultrasonic system.
Lester W. Schmerr Jr.
Chapter 12. Ultrasonic Measurement Models
Abstract
In previous chapters we developed expressions to describe separately generation, propagation, transmission, diffraction, attenuation, scattering, and reception processes in an ultrasonic experiment. In this chapter we combine these elements into a single model of the entire measurement process.
Lester W. Schmerr Jr.
Chapter 13. Near-Field Measurement Models
Abstract
In Chap. 12 we derived a variety of measurement models using both a direct approach and an approach based on reciprocity relations. In either case we assumed that incident and scattered waves can be treated as quasi-plane waves modified by appropriate diffraction correction terms; the scattering amplitude was assumed to be slowly varying so that it could be evaluated along a fixed set of incident and scattered directions. Although the quasi-plane wave (or paraxial) approximation of the incident and scattered fields is typically a very good assumption even in the near field (see Chap. 8, Problem 8.4), the combination of this assumption with the slowly varying scattering amplitude assumption can cause the LTI models developed in Chap. 12 to break down throughout the near field. This breakdown is particularly severe for very specular scatterers (such as cracks or flat-bottom holes). In Chap. 13 we construct near-field measurement models based only on a high-frequency, small-flaw assumption. These models reduce to those previously found when the directions of waves and the scattering amplitude do not vary significantly from their values along a set of fixed rays in the transmission and reception processes.
Lester W. Schmerr Jr.
Chapter 14. Quantitative Ultrasonic NDE with Models
Abstract
Previous chapters show that it is possible to model important factors that enter into an ultrasonic NDE measurement setup. These ultrasonic measurement models (and similar models being developed for other techniques, such as eddy currents and x-rays1 form the basis for a new quantitative NDE technology where entire NDE tests can be simulated and test parameters (including those associated with flaws) can be manipulated for engineering design and analysis. This new technology has a number of important practical applications.
Lester W. Schmerr Jr.
Chapter 15. Model-Based Flaw Sizing
Abstract
One important use of models is developing methods to size unknown flaws from their measured response. Since naturally occurring flaws are typically irregular in shape, when sizing defects it is necessary to determine the degree to which we want to try to recover details of the flaw geometry.
Lester W. Schmerr Jr.
Backmatter
Metadaten
Titel
Fundamentals of Ultrasonic Nondestructive Evaluation
verfasst von
Lester W. Schmerr Jr.
Copyright-Jahr
1998
Verlag
Springer US
Electronic ISBN
978-1-4899-0142-2
Print ISBN
978-1-4899-0144-6
DOI
https://doi.org/10.1007/978-1-4899-0142-2