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

Author: Mezhlum A Sumbatyan
Publisher: Cham, Switzerland : Springer, [2019] ©2019
Series: Advanced structured materials, v. 109.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Printed edition:
Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Mezhlum A Sumbatyan
ISBN: 9783030174705 3030174700 3030174697 9783030174699 9783030174712 3030174719 9783030174729 3030174727
OCLC Number: 1101966736
Description: 1 online resource.
Contents: Intro; Foreword; Contents; Contributors; On Anti-Plane Surface Waves Considering Highly Anisotropic Surface Elasticity Constitutive Relations; 1 Introduction; 2 Constitutive Relations; 3 Anti-plane Motions of an Elastic Half-Space; 4 Conclusions; References; Periodic Problem for a Plane Composed of Two-Layer Strips with a System of Longitudinal Internal Inclusions and Cracks; 1 Introduction; 2 Problem Statement and Derivation of the Governing Equations; 3 Solution of the System of Governing Equations; 3.1 Numerical Analysis; 4 Conclusion; References An Experimental Model of the Acoustic Wave Propagation Through a Cascading Triple-Periodic Array of Cylindrical Holes1 Introduction; 2 Applied Instrumentation; 3 Results of the Measurements; 4 Conclusion; References; Simulation of the Surface Structure of Ferroelectric Thin Films; 1 Introduction; 2 Simulation Method Using the Wang-Landau Algorithm; 3 Investigation of the Influence of Bulk Properties on the Surface Ones of Ferroelectric Systems; 4 Effect of Thickness on the Magnitude of Spontaneous Polarization in Thin Ferroelectric Films 5 Modeling of Geometric and Optical Properties of Textured Coatings of Steel Sheet with Anisotropic Defects6 Conclusion; References; Diffraction of the High-Frequency Waves by Arrays of Obstacles in the Two-Dimensional Elastic Medium, with Multiple Reflections and Transformations; 1 Introduction; 2 Problem Formulation; 3 Method of Solution; 4 The Study of the Problem in the Local Formulation; 5 Two-Fold Reflection of Elastic Waves on the Plane Contours of Obstacles Taking into Account Possible Transformations; 6 Multiple Reflections with All Possible Transformations of Elastic Waves 7 ConclusionReferences; The Mixed Boundary Conditions Problem of Layered Composites with Meta-Surfaces in Electro Elasticity; 1 Introduction; 2 Basic Linear Relations of Electro Elasticity for Piezoelectric Materials; 3 Mathematical Modeling of the Metasurfaces by the Introduction of Magneto Elastic Layered Systems Hypotheses (Hypothesis MELS); 3.1 The Connection of Two Piezoelectric Layers with Rough Surfaces with the Other Piezoelectric Thin Layer (Model-1); 3.2 Smoothing the Roughness of the Surfaces of the Piezoelectric Layer by Pouring Different Materials (Model-2) 3.3 The Propagation of High-Frequency Shear Elastic Waves on Interface of Isotropic Elastic Half-Spaces with Canonical Surface Protrusions (Model-3)4 Conclusion; References; A Comparative Analysis of Wave Properties of Finite and Infinite Cascading Arrays of Cracks; 1 Introduction; 2 Problem Formulation; 3 Infinite Periodic System. Anti-plane Problem; 4 Infinite Periodic System. Plane Problem; 5 Finite Periodic System. Scalar Formulation; 6 Numerical Analysis; 7 Conclusions; References
Series Title: Advanced structured materials, v. 109.
Responsibility: editor, Mezhlum A. Sumbatyan.

Abstract:

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.

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