//]]>
Normal View MARC View ISBD View

Microstructured Materials: Inverse Problems

by Janno, Jaan.
Authors: Engelbrecht, Jüri.%author. | SpringerLink (Online service) Series: Springer Monographs in Mathematics, 1439-7382 Physical details: X, 162 p. online resource. ISBN: 364221584X Subject(s): Mathematics. | Differential equations, partial. | Mechanics. | Materials. | Mathematics. | Partial Differential Equations. | Mechanics. | Continuum Mechanics and Mechanics of Materials. | Structural Materials.
Tags from this library:
No tags from this library for this title.
Item type Location Call Number Status Date Due
E-Book E-Book AUM Main Library 515.353 (Browse Shelf) Not for loan

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.

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.

There are no comments for this item.

Log in to your account to post a comment.

Languages: 
English |
العربية