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Understanding and analysing the complex phenomena related to elastic wave propagation has been the subject of intense research for many years and has enabled application in numerous fields of technology, including structural health monitoring (SHM).

Applied mathematicians and numerical analysts present 21 papers on the asymptotic analysis of lower order dimensional models used in elastic structures that are characterized geometrically by a small parameter, such as the thickness in plates and shells or the cross sectional area in rods. They provide an overview of current developments in the fie

A comprehensive, easy-to-use guide on elastography from a Who's Who of international experts This practical guide is a compilation of firsthand expertise from leading authorities around the world on the use of ultrasound elastography. The stiffness or softness of the imaged tissue derived from elastography provides accurate radiologic diagnosis for disease processes including cancer, inflammation, and fibrosis. It is an efficacious and accurate diagnostic imaging modality that helps avoid invasive biopsies. The first two chapters cover basic fundamental principles of elastography, with subsequent chapters exploring pathology-specific utilization. The authors cover the extensively validated and implemented use of elastography for diffuse liver disease, and diseases of the breast andthyroid gland. They also discuss the potential benefits and limitations for the prostate, spleen, pancreas, kidneys, musculoskeletal system, salivary glands, lymph nodes, and testes. The book concludes with a chapter on potential future applications of this ever-evolving technology. Key Highlights * Discussion of key differences between strain elastography and shear wave elastography by individual organ systems * Clinical pearls on how to accurately perform elastography and tips for avoiding false-positive or false-negative results * Case studies elucidate the targeted use of elastographic findings by specific pathology * Illustrations in the breast and liver chapters demonstrate precise transducer techniques * MRI elastography as an emerging and safe assessment tool, primarily for the diagnosis of liver disease, with emergent potential for additional organs This book provides key knowledge on visualizing quantifiable differences in tissue elasticity and applying this data to improved treatment strategies for diverse pathologies. It is essential reading for radiologists, sonographers, and imaging technicians.

The interaction of acoustic fields with submerged elastic structures, both by propagation and scattering, is being investigated at various institutions and laboratories world-wide with ever-increasing sophistication of experiments and analysis. This book offers a collection of contributions from these research centers that represent the present state-of-the-art in the study of acoustic elastic interaction, being on the cutting edge of these investigations. This includes the description of acoustic scattering from submerged elastic objects and shells by the Resonance Scattering Theory of Flax, Dragonette and Überall, and the interaction of these phenomena in terms of interface waves. It also includes the use of this theory for the purpose of inverse scattering, i.e. the determination of the scattered objects properties from the received acoustic backscattered signals. The problem of acoustically excited waves in inhomogeneous and anisotropic materials, and of inhomogeneous propagating waves is considered. Vibrations and resonances of elastic shells, including shells with various kinds of internal attachments, are analyzed. Acoustic scattering experiments are described in the time domain, and on the basis of the WignerNobel LaureateVille distribution. Acoustic propagation in the water column over elastic boundaries is studied experimentally both in laboratory tanks, and in the field, and is analyzed theoretically. Ultrasonic nondestructive testing, including such aspects like probe modelling, scattering by various types of cracks, receiving probes and calibration by a side-drilled hole is also studied in details.A comprehensive picture of these complex phenomena and other aspects is presented in the book by researchers that are experts in each of these domains, giving up-to-date accounts of the field in all these aspects.Contents:Three Dimensional Underwater Sound Propagation Over Sloping Bottoms (S A L Glegg J M Riley)Modeling of Sound Propagation Over a Shear-Supporting Sediment Layer and Substrate (J I Arvelo et al.)Propagation of Acoustic Pulses in Layered Media (P P Delsanto et al.)Response of a Vibrating Structure to a Turbulent Flow Wall Pressure: Fluid-Loaded Structure Modes Series and Boundary Element Method (P J T Filippi D Mazzoni)Plane Evanescent Waves and Interface Waves (F Luppé et al.)Application of Wavelet Analysis to Inverse Scattering (W Tobocman)Application of Time-Frequency Analysis to the Characterization of Acoustical Scattering (M E Zakharia et al.)Acoustical Resonance Scattering Theory for Strongly Overlapping Resonances (H Peine D Guicking)Inverse Scattering Based on the Resonances of the Target (P P Delsanto et al.)Modern Developments in the Theory and Application of Classical Scattering (M F Werby N A Sidorovskaia)Modeling and Ultrasonic Measurements of Damage (A Gérard)Some Aspects of Nonlinear Wave Propagation (A Jeffrey)Readership: Nonlinear scientists.