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The authors study dynamical effects of incident compressional and distortional elastic waves on a layer of planar, cylindrical, or spherical geometry, especially focusing on the stress fields surrounding the layer. These results are derived from the exact solutions for elastic wave scattering from such interfaces developped in the first part of the book. Comparisons of numerical solutions of special problems with the analytical solutions are given and it is shown how the latter help to simplify the numerical treatment. The material presented in this monograph will help in developing composite materials with improved chemical and physical properties and in non-destructive testing of such materials. Engineers, physicists, and workers in applied mathematics will welcome this well written text. It may also be used for additional reading in a course on elasto-mechanics.
This series of volumes constitutes an outstanding collection of contributions by the most active research workers in the area of acoustics and mechanics. It brings the reader up to date on the status of the various aspects of research in this field. The volumes should preserve their value for a long time, as they represent a monument to the achievements of human research capabilities in the underwater-acoustics aspects of the environment.
This extensively revised and updated second edition of a widely read classic presents the use of ultrasound in nondestructive evaluation (NDE) inspections. Retaining the first edition's use of wave propagation /scattering theory and linear system theory, this volume also adds significant new material including: the introduction of MATLAB® functions and scripts that evaluate key results involving beam propagation and scattering, flaw sizing, and the modeling of ultrasonic systems. elements of Gaussian beam theory and a multi-Gaussian ultrasonic beam model for bulk wave transducers. a new chapter on the connection between ultrasonic modeling and probability of detection (POD) and reliability models. new and improved derivations of ultrasonic measurement models. updated coverage of ultrasonic simulators that have been developed around the world. Students, engineers, and researchers working in the ultrasonic NDE field will find a wealth of information on the modeling of ultrasonic inspections and the fundamental ultrasonic experiments that support those models in this new edition.
"\berall's work in acoustic and electromagnetic scattering has evoked much interest, in the US as well as abroad, because of its possible practical applications, as well as the theoretical understanding. Many collaborators have been inspired by it, and have now contributed to this volume. The book is an excellent contribution to the literature of Acoustics and Wave Propagation. Professor Guran is to be congratulated for organizing and editing this volume." Prof. Hans A Bethe Noble Laureate Cornell University, 1996
The Singularity Expansion Method (SEM) is probably the most celebrated feather in Carl Baum's cap, among his many other accomplishments such as Nuclear Electromagnetic Pulse (NEMP) simulators, sensors, EM topology etc. SEM was born out of a simple realization that the natural frequencies of both simple (ex: a piece of conducting wire) and complex objects (ex: Boeing 747) are points in the complex frequency or the s-plane. Although expansions based on natural frequencies in mathematical physics preceded Carl's SEM formulation, he must be credited with its vast applicability in the field of NEMP during the cold war era. Coupling coefficients are described as the "transfer function" between the incident waves and the natural modes. The determination of the coupling coefficients was an important step on the path to synthesizing the responses.
Many problems in mathematical physics rely heavily on the use of elliptical partial differential equations, and boundary integral methods play a significant role in solving these equations. Stationary Oscillations of Elastic Plates studies the latter in the context of stationary vibrations of thin elastic plates. The techniques presented here reduce the complexity of classical elasticity to a system of two independent variables, modeling problems of flexural-vibrational elastic body deformation with the aid of eigenfrequencies and simplifying them to manageable, uniquely solvable integral equations. The book is intended for an audience with a knowledge of advanced calculus and some familiarity with functional analysis. It is a valuable resource for professionals in pure and applied mathematics, and for theoretical physicists and mechanical engineers whose work involves elastic plates. Graduate students in these fields can also benefit from the monograph as a supplementary text for courses relating to theories of elasticity or flexural vibrations.
This volume (parts A and B) contains the edited papers presented at the annual Review of Progress in Quantitative NDE held at the University of California, San Diego, July 8-13, 1984. We have chosen to organize the papers by subject, an arrangement that we feel to be more useful for a reference volume than the order of paper presentation at the Review. To do this, topical subject headings have been selected under which the large majority of papers reasonably fall. These categories cover a broad spectrum of research in NDE and encompass activities from funda mental work to early engineering applications. The scope and depth of the Review may be easily assessed by examination of the Table of Contents. The Review was sponsored by the Center for Advanced NDE at the Ames Lab oratory of the U.S. Dept. of Energy in cooperation with the Office of Basic Energy Sciences, USDOE, the Materials Laboratory at Wright-Patterson AFB, and the Naval Sea Systems Command. Approximately 300 attendees re presenting various government agencies, industry, and universities parti cipated in the technical presentations, poster sessions, and discussions. This Review, possibly the most comprehensive annual symposium in NDE, provides a valuable forum for the timely exchange of technical informa tion. A few highlights of the Review are summarized in the following paragraphs.