Wave Dynamics, Mechanics and Physics of Microstructured Metamaterials

1. Front Matter

   Pages i-xiii

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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

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 

• boundary value problems
• fiber reinforced metamaterials
• ferroelectric thin films
• surface metamaterials
• anisotropic properties
• composite structures

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

  Mezhlum A. Sumbatyan

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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