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Book Cover
E-book

Title Wave dynamics and composite mechanics for microstructured materials and metamaterials / Mezhlum A. Sumbatyan, editor
Published Singapore : Springer, [2017]
©2017

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Description 1 online resource : illustrations
Series Advanced structured materials ; volume 59
Advanced structured materials ; 59.
Contents Foreword; Contents; Contributors; Mathematical Models and Finite Element Approaches for Nanosized Piezoelectric Bodies with Uncoulped and Coupled Surface Effects; 1 Introduction; 2 Model of Piezoelectric Materials with Damping and Surface Effects; 3 Week Formulations of Dynamic Problem; 4 Finite Element Approaches; 4.1 Nonstationary Problems; 4.2 Static Problems; 4.3 Steady-State Oscillation Problems; 4.4 Modal Problems; 4.5 Mode Superposition Method for Steady-State Oscillation Problems; 4.6 Mode Superposition Method for Nonstationary Problems
4.7 The Newmark Scheme for Solving Non-stationary Problems5 Concluding Remarks; References; On the Theory of Acoustic Metamaterials with a Triple-Periodic System of Interior Obstacles; 1 Introduction; 2 Mathematical Formulation of the Problem; 3 The Properties of the Basic Integral Equation; 4 Calculation of the Wave Characteristics; 5 Conclusions; References; 3 Analytical and Computer Methods to Evaluate Mechanical Properties of the Metamaterials Based on Various Models of Polymeric Chains; Abstract; 1 Introduction; 2 Simulation of the Adsorption Process; 3 Model "Polymer-Substrate."
4 Simulation of the Simplest Types of Mechanical Deformation5 Simulation of Ferroelectric Properties of Thin Films; 6 Application to Surface Elasticity; 7 Conclusion; Acknowledgements; References; Identification of Arrays of Cracks in the Elastic Medium by the Ultrasonic Scanning ; 1 Introduction; 2 Basic Equations of the Elasticity Theory for Anti-plane Mode of Deformation; 3 Mutual Influence of the Elementary Cracks; 4 Identification Problem and Some Details of the Numerical Algorithm; 5 Conclusions; References
5 Short-Wave Diffraction of Elastic Waves by Voids in an Elastic Medium with Double Reflections and TransformationsAbstract; 1 Introduction; 2 Problem Statement; 3 Method of Solution; 4 Single Reflection of the Longitudinal Wave by the Cavity Surface; 5 Single Reflection of the Transverse Wave by the Cavity Surface; 6 The Double Re-Reflection of Elastic Waves in View of All Possible Transformations; 7 Conclusion; Acknowledgements; References; Finite Element Modeling and Computer Design of Anisotropic Elastic Porous Composites with Surface Stresses; 1 Introduction
2 Homogenization of Two-Phase Elastic Nanocomposite by Effective Moduli Method3 Finite Element Approximations; 4 Modeling of Representative Volumes; 5 Numerical Results and Discussion; References; Acceleration Waves in Media with Microstructure; 1 Introduction; 2 Basic Equations of a Hyperelastic Media with Internal Variables; 3 Acceleration Waves; 4 Example: Micropolar Media; 5 Conclusions; References; Models of Active Bulk Composites and New Opportunities of the ACELAN Finite Element Package; 1 Introduction; 2 Effective Moduli Method for Thermopiezomagnetoelectric Composites
Summary This volume deals with topical problems concerning technology and design in construction of modern metamaterials. The authors construct the models of mechanical, electromechanical and acoustical behavior of the metamaterials, which are founded upon mechanisms existing on micro-level in interaction of elementary structures of the material. The empiric observations on the phenomenological level are used to test the created models. The book provides solutions, based on fundamental methods and models using the theory of wave propagation, nonlinear theories and composite mechanics for media with micro- and nanostructure. They include the models containing arrays of cracks, defects, with presence of micro- and nanosize piezoelectric elements and coupled physical-mechanical fields of different nature. The investigations show that the analytical, numerical and experimental methods permit evaluation of the qualitative and quantitative properties of the materials of this sort, with diagnosis of their effective characteristics, frequency intervals of effective energetic cutting and passing, as well as effective regimes of damage evaluation by the acoustic methods
Bibliography Includes bibliographical references
Notes Vendor-supplied metadata
Subject Composite materials -- Mechanical properties
Microstructure.
microstructure.
TECHNOLOGY & ENGINEERING -- Engineering (General)
TECHNOLOGY & ENGINEERING -- Reference.
Composite materials -- Mechanical properties
Microstructure
Form Electronic book
Author Sumbatyan, Mezhlum A., editor.
ISBN 9789811037979
9811037973