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Full Description
Metamaterials are artificial, engineered materials designed to manipulate wave propagation in ways not possible with conventional materials. An Introduction to Waves in Mechanical Periodic Structures and Metamaterials presents a systematic and rigorous treatment of wave propagation in periodic structures, with a particular focus on mechanical and acoustic metamaterials. This book bridges fundamental concepts and advanced topics, offering a unified framework to analyze discrete and continuous periodic systems.
Key topics include:
Comprehensive mathematical formulation of wave propagation in 1D and 2D periodic structures
In-depth discussion on spectral element formulation, transfer matrix method, and bandgap formation
Coverage of advanced concepts such as energy transportation, meta-damping, non-reciprocity, active control, and nonlinear metamaterials
Unique focus on damping evaluation in metamaterials, critical for shock resistance, and transient dynamic applications
This book serves as an accessible yet rigorous resource for senior undergraduate and graduate students in structural engineering, mechanical engineering, applied physics, and materials science, as well as for researchers seeking to deepen their understanding of wave mechanics in metamaterials.
Contents
Part I. Foundational Aspects of Waves in Metamaterials. 1. Introduction. 2. Waves in Discrete 1D Periodic Structures. 3. Damping in 1D Discrete Medium. 4. Dynamic Stiffness Matrix for 1D Continuum. 5. Band Structure in 1D Continuum: Transfer Matrix Approach. Part II. Advanced Topics. 6. Energy Transportation in Wave Propagation. 7. Two-Dimensional Wave Propagation. 8. Active Feedback-Controlled Metamaterial. 9. Nonreciprocity in Wave Propagation. 10. Nonlinear Metamaterial.
