Microstructured Materials: Inverse Problems
by Janno, Jaan
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 ultr…
Read More ↓Title Statements
- Full title :Microstructured Materials: Inverse Problems / by Jaan Janno, Jüri Engelbrecht.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2011
Publication Statements
- Publisher(s):Springer Berlin Heidelberg
- Place of Publication:Berlin, Heidelberg
- Language:eng
- Publication Date:2011
The Physical Object
- Description:1 recurs en línia (1 recurs en línia (X, 162 pàgines)).
Edition Identifiers
- ISBN:9783642215841, 364221584X
- oclc:on1120627170
Table of Contents
Conté: 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
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