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.
Les mer
Produktdetaljer
ISBN
9781400866625
Publisert
2015
Utgiver
Vendor
Princeton University Press
Språk
Product language
Engelsk
Format
Product format
Digital bok