Title: Ultrasonic Nondestructive Testing of Materials : Theoretical Foundations Author: Kart-Jorg Langenberg, Klaus Mayer, Rene Marklein ISBN: 1439855889 / 9781439855881 Format: Hard Cover Pages: 772 Publisher: CRC Press Year: 2012 Availability: In Stock
Description
Contents
Ultrasonic Nondestructive Testing of Materials: Theoretical Foundations explores the mathematical foundations and emerging applications of this testing process, which is based on elastic wave propagation in isotropic and anisotropic solids. In covering ultrasonic nondestructive testing methods, the book emphasizes the engineering point of view, yet it relies on the physics and mathematics aspects involved in elastic wave propagation theory.
As a result, this resource becomes a missing link in the literature by combining coverage of the theoretical aspects of testing and providing intuitive assessments of numerous standard problems to illustrate fundamental assertions. Content includes a brief description of the theory of acoustic and electromagnetic fields to underline the similarities and differences as compared to elastodynamics. It also covers vector algebra and analysis, elastic plane and Rayleigh surface waves, and ultrasonic beams, as well as transducer radiation, inverse scattering, and ultrasonic nondestructive imaging.
Includes numerical computations to explain wave propagation phenomena and compare results of analytical formulations
Although ultrasonic nondestructive testing can often be roughly understood in terms of plane waves and beams, this book addresses the key issues of transducer radiation and defect scattering and imaging, respectively. The authors physically formulate point source synthesis, and, in mathematical terms, they use representation integrals with Green functions, always including intuitive interpretations with mathematical evaluations.
Replacing cumbersome index notation with a coordinate-free version, this reference offers step-by-step documentation of relevant tensorial elastodynamic cases involving isotropic and anisotropic materials. It provides all necessary mathematical tools readers require to understand the mathematical and physical basis for ultrasonic nondestructive testing.
Preface
Authors
Chapter 1 : Contents Chapter 2 : Mathematical Foundations Chapter 3 : Governing Equations of Elastodynamics Chapter 4 : Constitutive Equations, Governing Equations, Elastodynamic Energy Conservation Chapter 5 : Acoustics Chapter 6 : Electromagnetism Chapter 7 : Vector Wave Equations Chapter 8 : Elastic Plane Waves in Homogeneous Materials Chapter 9 : Reflection, Transmission and Mode Conversion of Elastic Plane Waves at Planar Boundaries between Homogeneous Non-Dissipative Materials Chapter 10 : Rayleigh Surface Waves Chapter 11 : Plane Wave Spatial Spectrum Chapter 12 : Ultrasonic Beams and Wave Packets Chapter 13 : Point Sources in Homogeneous Isotropic Infinite Space, Elastodynamic Source Fields Chapter 14 : Force Density and Dilatation Rate Sources on Surfaces of Homogeneous Isotropic Half-Spaces, Radiation Fields of Piezoelectric Transducers Chapter 15 : Scatterers in Homogeneous Isotropic Non-Dissipative Infinite Spaces Chapter 16 : Inverse Scattering: US-NDT Imaging
Appendix : Collection of Mathematical Definitions and Identities
References
Index