Mathematical Methods in Elasticity Imaging:
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 c...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
[2015]
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| Ausgabe: | Core Textbook |
| Schriftenreihe: | Princeton Series in Applied Mathematics
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| Schlagworte: | |
| Online-Zugang: | DE-859 DE-860 DE-739 DE-1046 DE-1043 DE-858 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher’s Web site, viewed September 10 2015) |
| Beschreibung: | 240 pages) illustrations |
| ISBN: | 9781400866625 |
| DOI: | 10.1515/9781400866625 |
Internformat
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| 520 | |a 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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| discipline | Physik |
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| id | DE-604.BV043867639 |
| illustrated | Illustrated |
| indexdate | 2025-02-18T15:08:58Z |
| institution | BVB |
| isbn | 9781400866625 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029277577 |
| oclc_num | 904686860 |
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| owner | DE-859 DE-860 DE-739 DE-1046 DE-1043 DE-858 |
| owner_facet | DE-859 DE-860 DE-739 DE-1046 DE-1043 DE-858 |
| physical | 240 pages) illustrations |
| psigel | ZDB-23-DGG ZDB-23-DGG FKE_PDA_DGG ZDB-23-DGG FLA_PDA_DGG ZDB-23-DGG UPA_PDA_DGG ZDB-23-DGG FAW_PDA_DGG ZDB-23-DGG FAB_PDA_DGG ZDB-23-DGG FCO_PDA_DGG |
| publishDate | 2015 |
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| publisher | Princeton University Press |
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| spelling | Kang, Hyeonbae 1960- (DE-588)1029525706 aut Mathematical Methods in Elasticity Imaging Hyeonbae Kang, Habib Ammari, Hyundae Lee, Elie Bretin, Abdul Wahab, Josselin Garnier Core Textbook Princeton, N.J. Princeton University Press [2015] © 2015 240 pages) illustrations txt rdacontent c rdamedia cr rdacarrier Princeton Series in Applied Mathematics Description based on online resource; title from PDF title page (publisher’s Web site, viewed September 10 2015) 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 In English Applied Mathematics Mathematics Physik Science / Mechanics / General bisacsh Science / Mechanics / Solids bisacsh Mathematik Naturwissenschaft Elasticity Mathematics Elastizität (DE-588)4014159-7 gnd rswk-swf Bildgebendes Verfahren (DE-588)4006617-4 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Elastizität (DE-588)4014159-7 s Bildgebendes Verfahren (DE-588)4006617-4 s Mathematisches Modell (DE-588)4114528-8 s 1\p DE-604 Ammari, Habib 1969- (DE-588)129355119 aut https://doi.org/10.1515/9781400866625 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kang, Hyeonbae 1960- Ammari, Habib 1969- Mathematical Methods in Elasticity Imaging Applied Mathematics Mathematics Physik Science / Mechanics / General bisacsh Science / Mechanics / Solids bisacsh Mathematik Naturwissenschaft Elasticity Mathematics Elastizität (DE-588)4014159-7 gnd Bildgebendes Verfahren (DE-588)4006617-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4014159-7 (DE-588)4006617-4 (DE-588)4114528-8 |
| title | Mathematical Methods in Elasticity Imaging |
| title_auth | Mathematical Methods in Elasticity Imaging |
| title_exact_search | Mathematical Methods in Elasticity Imaging |
| title_full | Mathematical Methods in Elasticity Imaging Hyeonbae Kang, Habib Ammari, Hyundae Lee, Elie Bretin, Abdul Wahab, Josselin Garnier |
| title_fullStr | Mathematical Methods in Elasticity Imaging Hyeonbae Kang, Habib Ammari, Hyundae Lee, Elie Bretin, Abdul Wahab, Josselin Garnier |
| title_full_unstemmed | Mathematical Methods in Elasticity Imaging Hyeonbae Kang, Habib Ammari, Hyundae Lee, Elie Bretin, Abdul Wahab, Josselin Garnier |
| title_short | Mathematical Methods in Elasticity Imaging |
| title_sort | mathematical methods in elasticity imaging |
| topic | Applied Mathematics Mathematics Physik Science / Mechanics / General bisacsh Science / Mechanics / Solids bisacsh Mathematik Naturwissenschaft Elasticity Mathematics Elastizität (DE-588)4014159-7 gnd Bildgebendes Verfahren (DE-588)4006617-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Applied Mathematics Mathematics Physik Science / Mechanics / General Science / Mechanics / Solids Mathematik Naturwissenschaft Elasticity Mathematics Elastizität Bildgebendes Verfahren Mathematisches Modell |
| url | https://doi.org/10.1515/9781400866625 |
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