Advanced Structured Materials

Structural Modeling of Metamaterials

Authors: Erofeev, Vladimir I., Pavlov, Igor S.

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  • 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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  • ISBN 978-3-030-60330-4
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Hardcover $159.99
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  • ISBN 978-3-030-60329-8
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About this book

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

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)

Table of contents (7 chapters)
  • Theoretical Basis of the Structural Modeling Method

    Pages 1-33

    Erofeev, Vladimir I. (et al.)

  • A 2D Lattice with Dense Packing of the Particles

    Pages 35-54

    Erofeev, Vladimir I. (et al.)

  • A Two-Dimensional Lattice with Non-dense Packing of Particles

    Pages 55-81

    Erofeev, Vladimir I. (et al.)

  • 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

    Erofeev, Vladimir I. (et al.)

  • Nonlinear Models of Microstructured Media

    Pages 109-127

    Erofeev, Vladimir I. (et al.)

Buy this book

eBook $119.00
price for USA in USD
  • ISBN 978-3-030-60330-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-030-60329-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Structural Modeling of Metamaterials
Authors
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