Microstructured Materials: Inverse Problems (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
162
Utgivningsdatum
2013-11-27
Upplaga
2011 ed.
Förlag
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Medarbetare
Engelbrecht, Juri
Illustrationer
X, 162 p.
Dimensioner
234 x 156 x 9 mm
Vikt
250 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9783642270925

Microstructured Materials: Inverse Problems

av Jaan Janno, Jri Engelbrecht
Häftad,  Engelska, 2013-11-27
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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.
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Jaan Janno, Jri Engelbrecht

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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. Primenko, 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)

Innehållsförteckning

Introduction.- 1 Inverse problems and non-destructive evaluation.- 2 Mathematical models of microstructured solids.- 3 Linear waves.- 4 Inverse problems for linear waves.- 5 Solitary waves in nonlinear models.- 6 Inverse problems for solitary waves.- 7 Summary.- References.- Index

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