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Mathematical Methods in Elasticity Imaging

Name: Mathematical Methods in Elasticity Imaging
Brand: Princeton University Press
SKU: 09076664
Price: 92.09 EUR
Availability: InStock
Author: Habib Ammari
ISBN: 9780691165318

Language

English

Book Hardback

Libristo code: 09076664

Publishers Princeton University Press, April 2015

This book is the first to comprehensively explore elasticity imaging and examines recent, important... Full description

Libristo code: 09076664

225 b

92.09 € VAT included

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This book is the first to comprehensively explore elasticity imaging and examines recent, important developments in asymptotic imaging, modeling, and analysis of deterministic and stochastic elastic wave propagation phenomena. It derives the best possible functional images for small inclusions and cracks within the context of stability and resolution, and introduces a topological derivative-based imaging framework for detecting elastic inclusions in the time-harmonic regime. For imaging extended elastic inclusions, accurate optimal control methodologies are designed and the effects of uncertainties of the geometric or physical parameters on stability and resolution properties are evaluated. In particular, the book shows how localized damage to a mechanical structure affects its dynamic characteristics, and how measured eigenparameters are linked to elastic inclusion or crack location, orientation, and size. Demonstrating a novel method for identifying, locating, and estimating inclusions and cracks in elastic structures, the book opens possibilities for a mathematical and numerical framework for elasticity imaging of nanoparticles and cellular structures.