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Mathematical Methods in Elasticity Imaging

Mathematical Methods in Elasticity Imaging

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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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kr 669
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Tjek vores konkurrenters priser

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.

Produktdetaljer
Sprog: Engelsk
Sider: 240
ISBN-13: 9780691165318
Indbinding: Hardback
Udgave:
ISBN-10: 0691165319
Udg. Dato: 6 apr 2015
Længde: 21mm
Bredde: 261mm
Højde: 185mm
Forlag: Princeton University Press
Oplagsdato: 6 apr 2015
Forfatter(e) Hyundae Lee, Habib Ammari, Elie Bretin, Abdul Wahab, Hyeonbae Kang, Josselin Garnier


Kategori Matematisk modellering


ISBN-13 9780691165318


Sprog Engelsk


Indbinding Hardback


Sider 240


Udgave


Længde 21mm


Bredde 261mm


Højde 185mm


Udg. Dato 6 apr 2015


Oplagsdato 6 apr 2015


Forlag Princeton University Press