Mathematical Methods in Elasticity Imaging
Language: English
Published by Princeton University Press, US, 2015
Series: Book 26 of 33 - Princeton Series in Applied Mathematics
- Hardcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
£ 64.13
Quantity: 1 available
Add to basketItem description from seller
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.…
Seller Inventory # LU-9780691165318
- Title
- Mathematical Methods in Elasticity Imaging
- Author
- Elie Bretin, Josselin Garnier, Hyeonbae Kang, Hyundae Lee, Habib Ammari, Abdul Wahab
- Publisher
- Princeton University Press, US
- Publication year
- 2015
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 0691165319
- ISBN 13
- 9780691165318
- Item weight
- 539 grams
- Series
- Book 26 of 33: Princeton Series in Applied Mathematics
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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London, United Kingdom
AbeBooks seller since June 11, 2025
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