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Mathematical Methods in Elasticity Imaging (Hardcover)
Loot Price: R1,550
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Mathematical Methods in Elasticity Imaging (Hardcover)
Series: Princeton Series in Applied Mathematics
Expected to ship within 12 - 17 working days
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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.
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