Microstructured Materials: Inverse Problems (Springer Monographs in Mathematics)

Jaan Janno

ISBN 10: 3642270921 / ISBN 13: 9783642270925

Published by Springer, 2013

About this Item

2011 edition. 159 pages. 9.00x6.10x0.50 inches. In Stock.

Seller Inventory # x-3642270921

Bibliographic Details

• Title: Microstructured Materials: Inverse Problems (Springer Monographs in Mathematics)
• Publisher: Springer
• Publication Date: 2013
• Language: English
• ISBN 10: 3642270921
• ISBN 13: 9783642270925
• Binding: Paperback
• Condition: Brand New
• Weight: 0.25 kilograms

About this title

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.