Structural Modeling of Metamaterials
Authors: Erofeev, Vladimir I., Pavlov, Igor S.
Free Preview- Shows the influence of size effects on the physical and mechanical properties of a material
- Presents mathematical models of metamaterials
- Describes the propagation and interaction of nonlinear waves in generalized continua
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- About this book
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This book discusses the theoretical foundations of the structural modeling method applied to metamaterials. This method takes into account the parameters of the crystal lattice, the size of the medium particles, as well as their shape and constants of force interactions between them. It provides mathematical models of metamaterials that offer insights into the qualitative influence of the local structure on the effective elastic moduli of the considered medium and into performing theoretical estimations of these quantities. This book is useful for researchers working in the fields of solid mechanics, physical acoustics, and condensed matter physics, as well as for graduate and postgraduate students studying mathematical modeling methods.
- About the authors
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Prof. Dr. Erofeev Vladimir Ivanovich is the Director of the Mechanical Engineering Research Institute of the Russian Academy of Sciences. His scientific interests include structural modeling of advanced material, nonlinear wave dynamics of microstructured solids, and acoustic testing of microstructured materials.He is a member of the Russian Acoustical Society and the Russian National Committee on Theoretical and Applied Mechanics.
Prof. Dr. Pavlov Igor Sergeevich is the Vice-Director of the Mechanical Engineering Research Institute of the Russian Academy of Sciences, and a Professor at the Radiophysics Department of Lobachevsky State University of Nizhny Novgorod, Russia. His scientific interests include structural modeling of advanced materials, nonlinear wave dynamics of microstructured solids, and acoustic testing of microstructured materials. He is a member of the Russian Acoustical Society and the Russian National Committee on Theoretical and Applied Mechanics.
- Table of contents (7 chapters)
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Theoretical Basis of the Structural Modeling Method
Pages 1-33
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A 2D Lattice with Dense Packing of the Particles
Pages 35-54
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A Two-Dimensional Lattice with Non-dense Packing of Particles
Pages 55-81
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Application of the 2D Models of Media with Dense and Non-dense Packing of the Particles for Solving the Parametric Identification Problems
Pages 83-107
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Nonlinear Models of Microstructured Media
Pages 109-127
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Table of contents (7 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Structural Modeling of Metamaterials
- Authors
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- Vladimir I. Erofeev
- Igor S. Pavlov
- Series Title
- Advanced Structured Materials
- Series Volume
- 144
- Copyright
- 2021
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-60330-4
- DOI
- 10.1007/978-3-030-60330-4
- Hardcover ISBN
- 978-3-030-60329-8
- Series ISSN
- 1869-8433
- Edition Number
- 1
- Number of Pages
- XXII, 208
- Number of Illustrations
- 74 b/w illustrations, 5 illustrations in colour
- Topics
