Microstructured Materials: Inverse Problems

Nonfiction, Science & Nature, Mathematics, Differential Equations, Science, Physics, Mechanics
Cover of the book Microstructured Materials: Inverse Problems by Jaan Janno, Jüri Engelbrecht, Springer Berlin Heidelberg
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Author: Jaan Janno, Jüri Engelbrecht ISBN: 9783642215841
Publisher: Springer Berlin Heidelberg Publication: August 27, 2011
Imprint: Springer Language: English
Author: Jaan Janno, Jüri Engelbrecht
ISBN: 9783642215841
Publisher: Springer Berlin Heidelberg
Publication: August 27, 2011
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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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