Wave Dynamics, Mechanics and Physics of Microstructured Metamaterials: Theoretical and Experimental Methods

Description

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 Front Matter ....Pages i-xiii On Anti-Plane Surface Waves Considering Highly Anisotropic Surface Elasticity Constitutive Relations (Victor A. Eremeyev)....Pages 1-9 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 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 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 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 The Mixed Boundary Conditions Problem of Layered Composites with Meta-Surfaces in Electro Elasticity (Ara S. Avetisyan)....Pages 73-96 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 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 Three-Dimensional Problems of Harmonic Wave Propagation in an Elastic Layer (Mels V. Belubekyan, Vagharshak M. Belubekyan)....Pages 133-141 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 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 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 A Far-Field Asymptotic Analysis in the High-Frequency Diffraction by Cracks (M. Y. Remizov)....Pages 181-198 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 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 Electro-Magneto-Elastic Coupled Waves in Piezoactive Periodic Structures (Karen B. Ghazaryan, Davit G. Piliposyan, Gayane T. Piliposian)....Pages 229-240 Non-linear Dynamics of Pantographic Fabrics: Modelling and Numerical Study (Marco Laudato, Emilio Barchiesi)....Pages 241-254