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Wave Dynamics, Mechanics and Physics of Microstructured Metamaterials

Theoretical and Experimental Methods

  • Book
  • © 2019

Overview

Editors:
  1. Mezhlum A. Sumbatyan

    1. Institute for Mathematics, Mechanics and Computer Science, Southern Federal University, Rostov-on-Don, Russia

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  • Explores microstructured metamaterials with a special focus on wave dynamics, mechanics, and related physical properties
  • Examines the mechanical properties inherent to particular types of metamaterials
  • Includes self-organization of molecules in ferroelectric thin films

Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 109)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. On Anti-Plane Surface Waves Considering Highly Anisotropic Surface Elasticity Constitutive Relations

    • Victor A. Eremeyev
    Pages 1-9

  3. Periodic Problem for a Plane Composed of Two-Layer Strips with a System of Longitudinal Internal Inclusions and Cracks

    • V. N. Hakobyan, A. V. Sahakyan, K. L. Aghayan
    Pages 11-22

  4. An Experimental Model of the Acoustic Wave Propagation Through a Cascading Triple-Periodic Array of Cylindrical Holes

    • Vladimir M. Zotov, Vitaly V. Popuzin, M. Y. Remizov
    Pages 23-32

  5. Simulation of the Surface Structure of Ferroelectric Thin Films

    • Olga G. Maksimova, Tatiana O. Petrova, Victor A. Eremeyev, Vladislav I. Egorov, Alexandr R. Baidganov, Olga S. Baruzdina et al.
    Pages 33-58

  6. Diffraction of the High-Frequency Waves by Arrays of Obstacles in the Two-Dimensional Elastic Medium, with Multiple Reflections and Transformations

    • Nikolay V. Boyev
    Pages 59-72

  7. The Mixed Boundary Conditions Problem of Layered Composites with Meta-Surfaces in Electro Elasticity

    • Ara S. Avetisyan
    Pages 73-96

  8. A Comparative Analysis of Wave Properties of Finite and Infinite Cascading Arrays of Cracks

    • Vitaly V. Popuzin, M. Y. Remizov, Mezhlum A. Sumbatyan, Michele Brigante
    Pages 97-112

  9. Homogenization of Piezoelectric Composites with Internal Structure and Inhomogeneous Polarization in ACELAN-COMPOS Finite Element Package

    • T. E. Gerasimenko, N. V. Kurbatova, D. K. Nadolin, A. V. Nasedkin, A. A. Nasedkina, P. A. Oganesyan et al.
    Pages 113-131

  10. Three-Dimensional Problems of Harmonic Wave Propagation in an Elastic Layer

    • Mels V. Belubekyan, Vagharshak M. Belubekyan
    Pages 133-141

  11. The Experimental Study of a Metamaterial with a Triple-Periodic Microstructure on the Epoxy Base

    • Vladimir M. Zotov, Vitaly V. Popuzin, Alexander E. Tarasov
    Pages 143-152

  12. On the Equations of the Surface Elasticity Model Based on the Theory of Polymeric Brushes

    • Roman A. Gerasimov, Tatiana O. Petrova, Victor A. Eremeyev, Andrei V. Maximov, Olga G. Maximova
    Pages 153-161

  13. Finite Element Study of Ceramic Matrix Piezocomposites with Mechanical Interface Properties by the Effective Moduli Method with Different Types of Boundary Conditions

    • G. Iovane, A. V. Nasedkin
    Pages 163-179

  14. A Far-Field Asymptotic Analysis in the High-Frequency Diffraction by Cracks

    • M. Y. Remizov
    Pages 181-198

  15. 3d Propagation of Ultrasonic Waves Through a System of Defects in an Elastic Material, with Arbitrary Reflections and Transformations

    • Nikolay V. Boyev, Mezhlum A. Sumbatyan, Vittorio Zampoli
    Pages 199-215

  16. Numerical Investigation of Effective Moduli of Porous Elastic Material with Surface Stresses for Various Structures of Porous Cells

    • A. V. Nasedkin, A. S. Kornievsky
    Pages 217-228

  17. Electro-Magneto-Elastic Coupled Waves in Piezoactive Periodic Structures

    • Karen B. Ghazaryan, Davit G. Piliposyan, Gayane T. Piliposian
    Pages 229-240

  18. Non-linear Dynamics of Pantographic Fabrics: Modelling and Numerical Study

    • Marco Laudato, Emilio Barchiesi
    Pages 241-254
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Keywords

About this book

This book addresses theoretical and experimental methods for exploring microstructured metamaterials, with a special focus on wave dynamics, mechanics, and related physical properties. The authors use various mathematical and physical approaches to examine the mechanical properties inherent to particular types of metamaterials. These include: 
• Boundary value problems in reduced strain gradient elasticity for composite fiber-reinforced metamaterials 
• Self-organization of molecules in ferroelectric thin films 
• Combined models for surface layers of nanostructures 
• Computer simulation at the micro- and nanoscale 
• Surface effects with anisotropic properties and imperfect temperature contacts 
• Inhomogeneous anisotropic metamaterials with uncoupled and coupled surfaces or interfaces 
• Special interface finite elements and other numerical and analytical methods for composite structures 


Editors and Affiliations

  • Institute for Mathematics, Mechanics and Computer Science, Southern Federal University, Rostov-on-Don, Russia

    Mezhlum A. Sumbatyan

About the editor

Prof. Mezhlum Sumbatyan is a principal researcher and a Head of Ultrasonic Laboratory in the Institute for Mathematics, Mechanics and Computer Science, Southern Federal University, Russia. He is the Member of the Editorial Board in 2 International journals, Member of the Russian Acoustical Society, Member of Technical Committee, European Acoustical Association (EAA), Foreign Member of the National Academy of Sciences, Republic of Armenia, Member of Russian National Committee on Theoretical and Applied Mechanics. 
He has more than 120 papers published in SCOPUS journals. 12 PhD students passed with their thesis under his leaderships.


Research topics:
Ultrasonic NDT, Integral Equations, Inverse problems in mechanics and acoustics, Asymptotic methods in short-wave diffraction, Propagation of ultrasonic waves, Computational Hydrodynamics, Aeroacoustics, Turbulence, Boundary Elements Method. 


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