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.

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.

Dieses Werk bietet eine umfassende Darstellung der mathematisch-theoretischen Grundlagen der zerstorungsfreien Materialprufung mit Ultraschall. Ausgehend von den Grundgleichungen der Elastodynamik werden Long- und Transwellen sowie Gauss sche Strahlen in isotropen und anisotropen Materialien besprochen. Das mathematische Konzept Green scher Funktionen dient sodann zur Berechnung von Prufkopfschallfeldern und Streufeldern von Unganzen. Breiter Raum wird abbildenden Ultraschallverfahren gegeben. Anschaulichkeit wird durch zahlreiche Wellenfeldsimulationen vermittelt. Zu den Autoren: Prof Dr. rer. nat. Karl-Jorg Langenberg lehrt seit 1983 Theoretische Elektrotechnik an der Universitat Kassel. Priv.-Doz. Dr.-Ing. Rene Marklein, Oberingenieur im Fachgebiet Theorie der Elektrotechnik und Photonik, Universitat Kassel; Berthold-Preistrager der DGZfP 1994. Dr.-Ing. Klaus Mayer, Akademischer Oberrat, Fachgebiet Theorie der Elektronik und der Photonik, Universitat Kassel; Berthold-Preistrager der DGZfP 2008."