Mathematical Methods in Elasticity Imaging - Couverture rigide

Ammari, Habib; Bretin, Elie; Garnier, Josselin; Kang, Hyeonbae; Lee, Hyundae; Wahab, Abdul

 
9780691165318: Mathematical Methods in Elasticity Imaging
Couverture rigide
ISBN 10 : 0691165319 ISBN 13 : 9780691165318
Editeur : Princeton University Press, 2015

Synopsis

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.

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À propos de l?auteur

Habib Ammari is director of research at the French National Center for Scientific Research and professor of mathematics at the École Normale Superiéure. Elie Bretin is a postdoctoral researcher in mathematics at the École Polytechnique. Josselin Garnier is professor of mathematics at Université Paris VII. Hyeonbae Kang is the Jungseok Chair Professor of Mathematics at Inha University in South Korea. Hyundae Lee is assistant professor of mathematics at Inha University. Abdul Wahab is a postdoctoral researcher in mathematics at Université Paris VII.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Princeton University Press
Date d'édition
2015
Langue
anglais
ISBN 10 
0691165319
ISBN 13 
9780691165318
Reliure
Relié
Nombre de pages
240
Coordonnées du fabricant
non disponible
Personne responsable
non disponible