Springer Monographs in Mathematics

Microstructured Materials: Inverse Problems

Authors: Janno, Jaan, Engelbrecht, Jüri

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  • Mathematical modelling is based on physical principles
  • Physical models are interwoven with inverse problems
  • A novel concept of using solitary waves for NDE is proposed
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eBook 85,59 €
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  • ISBN 978-3-642-21584-1
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Hardcover 103,99 €
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  • ISBN 978-3-642-21583-4
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Softcover 103,99 €
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  • ISBN 978-3-642-27092-5
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About this book

Complex, microstructured materials are widely used in industry and technology and include alloys, ceramics and composites. Focusing on non-destructive evaluation (NDE), this book explores in detail the mathematical modeling and inverse problems encountered when using ultrasound to investigate heterogeneous microstructured materials. The outstanding features of the text are firstly, a clear description of both linear and nonlinear mathematical models derived for modelling the propagation of ultrasonic deformation waves, and secondly, the provision of solutions to the corresponding inverse problems that determine the physical parameters of the models. The data are related to nonlinearities at both a macro- and micro- level, as well as to dispersion. 

The authors’ goal has been to construct algorithms that allow us to determine the parameters within which we are required to characterize microstructure. To achieve this, the authors not only use conventional harmonic waves, but also propose a novel methodology based on using solitary waves in NDE. The book analyzes the uniqueness and stability of the solutions, in addition to providing numerical examples.

Reviews

From the reviews:

“The book is written by well-known specialists in the field of inverse problems and deals with the mathematical analysis of inverse problems arising in the study of complex microstructured materials, ceramics and composites. … The book can be useful for specialists in mechanics and mathematics, and for engineers who use mathematical methods for solving specific practical problems. It will also be useful for graduate students specializing in applied mathematics and mechanics.” (Viatcheslav I. Priĭmenko, Mathematical Reviews, January, 2014)

“The book is concerned with inverse problems of microstructured materials and is composed of 8 chapters. … The book is well written and could find many readers working in the area of microstructured materials.” (Hilmi Demiray, Zentralblatt MATH, Vol. 1235, 2012)


Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 85,59 €
price for Spain (gross)
  • ISBN 978-3-642-21584-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-642-21583-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-642-27092-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Microstructured Materials: Inverse Problems
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-21584-1
DOI
10.1007/978-3-642-21584-1
Hardcover ISBN
978-3-642-21583-4
Softcover ISBN
978-3-642-27092-5
Series ISSN
1439-7382
Edition Number
1
Number of Pages
X, 162
Topics