β Scribed by Jaan Janno, JΓΌri Engelbrecht (auth.)
No coin nor oath required. For personal study only.
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 authorsβ 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.
Front Matter....Pages I-IX
Introduction....Pages 1-3
Inverse Problems and Non-destructive Evaluation....Pages 5-9
Mathematical Models of Microstructured Solids....Pages 11-19
Linear Waves....Pages 21-35
Inverse Problems for Linear Waves....Pages 37-59
Solitary Waves in Nonlinear Models....Pages 61-101
Inverse Problems for Solitary Waves....Pages 103-145
Summary....Pages 147-154
Back Matter....Pages 155-160
Partial Differential Equations;Mechanics;Continuum Mechanics and Mechanics of Materials;Structural Materials
π SIMILAR VOLUMES
This book is excellant,gives you oportunity to fully understand content.Also worth mentioning are numerous examples which shows how theory is intertwined with applications.
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