Overview
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.
Full Product Details
Author: Habib Ammari ,
Elie Bretin ,
Josselin Garnier ,
Hyeonbae Kang
Publisher: Princeton University Press
Imprint: Princeton University Press
Volume: 52
Dimensions:
Width: 17.80cm
, Height: 2.00cm
, Length: 25.40cm
Weight: 0.539kg
ISBN: 9780691165318
ISBN 10: 0691165319
Pages: 240
Publication Date: 06 April 2015
Audience:
College/higher education
,
Professional and scholarly
,
Postgraduate, Research & Scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: Temporarily unavailable
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.
Language: English
Reviews
This timely book that is devoted to a topic of paramount importance is very well written and it contains useful and interesting material. I strongly believe that it will be a valuable resource for researchers in elasticity imaging and related areas of nondestructive testing and inverse problems. --Akhtar A. Khan, MathSciNet
"""This timely book that is devoted to a topic of paramount importance is very well written and it contains useful and interesting material. I strongly believe that it will be a valuable resource for researchers in elasticity imaging and related areas of nondestructive testing and inverse problems.""--Akhtar A. Khan, MathSciNet"
Author Information
Habib Ammari is director of research at the French National Center for Scientific Research and professor of mathematics at the cole Normale Superiure. Elie Bretin is a postdoctoral researcher in mathematics at the cole Polytechnique. Josselin Garnier is professor of mathematics at Universit 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 Universit Paris VII.
