Microstructured Materials: Inverse Problems (Paperback, 2011 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Springer Monographs in Mathematics
Release date:	November 2013
First published:	2011
Authors:	Jaan Janno • J uri Engelbrecht
Dimensions:	235 x 155 x 9mm (L x W x T)
Format:	Paperback
Pages:	162
Edition:	2011 ed.
ISBN-13:	978-3-642-27092-5
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Physics > Classical mechanics > General Books > Professional & Technical > Mechanical engineering & materials > Materials science > General
LSN:	3-642-27092-1
Barcode:	9783642270925

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