Microstructured Materials: Inverse Problems

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Synopsis

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.

Book details

Edition:
2011
Series:
Springer Monographs in Mathematics
Author:
Jaan Janno, Jüri Engelbrecht
ISBN:
9783642215841
Related ISBNs:
9783642215834
Publisher:
Springer Berlin Heidelberg
Pages:
N/A
Reading age:
Not specified
Includes images:
Yes
Date of addition:
2022-06-30
Usage restrictions:
Copyright
Copyright date:
2011
Copyright by:
Springer-Verlag Berlin Heidelberg 
Adult content:
No
Language:
English
Categories:
Mathematics and Statistics, Nonfiction, Science, Technology