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Wave Propagation Analysis of Smart Nanostructures presents a mathematical framework for the wave propagation problem of small-scale nanobeams and nanoplates manufactured from various materials, including functionally graded composites, smart piezoelectric materials, smart magneto-electro-elastic materials, smart magnetostrictive materials, and porous materials. In this book, both classical and refined higher-order shear deformation beam and plate hypotheses are employed to formulate the wave propagation problem using the well-known Hamilton’s principle. Additionally, the influences of small-scale nanobeams on the mechanical behaviors of nanostructures are covered using both nonlocal elasticity and nonlocal strain gradient elasticity theories. Impacts of various terms, such as elastic springs of elastic foundation, damping coefficient of viscoelastic substrate, different types of temperature change, applied electric voltage and magnetic potential, and intensity of an external magnetic field on the dispersion curves of nanostructures, are included in the framework of numerous examples.
Wave Propagation Analysis of Smart Nanostructures presents a mathematical framework for the wave propagation problem of small-scale nanobeams and nanoplates manufactured from various materials, including functionally graded composites, smart piezoelectric materials, smart magneto-electro-elastic materials, smart magnetostrictive materials, and porous materials. In this book, both classical and refined higher-order shear deformation beam and plate hypotheses are employed to formulate the wave propagation problem using the well-known Hamilton’s principle. Additionally, the influences of small-scale nanobeams on the mechanical behaviors of nanostructures are covered using both nonlocal elasticity and nonlocal strain gradient elasticity theories. Impacts of various terms, such as elastic springs of elastic foundation, damping coefficient of viscoelastic substrate, different types of temperature change, applied electric voltage and magnetic potential, and intensity of an external magnetic field on the dispersion curves of nanostructures, are included in the framework of numerous examples.
Mechanics of Auxetic Materials and Structures offers a wide range of application-based and practical considerations of smart materials and auxetic materials in engineering structures. Exploring the analytical and numerical solution procedures, the book discusses crucial characteristics of metamaterials and their response to external factors. Covering the effect of different parameters and external factors on the mechanics of auxetic materials and structures, the book considers the benefits leading to better fracture resistance, toughness, shear modulus, and acoustic response. The book serves as a reference for senior undergraduate and graduate students studying civil engineering, mechanical engineering, and materials science and taking courses in smart materials, metamaterials, and mechanics of materials.
Emphasizing the static and dynamic behaviors of nanocomposite single- or multilayered structures in the framework of continuum mechanics-based approaches, Mechanics of Nanocomposites: Homogenization and Analysis investigates mechanical behaviors of polymeric matrices strengthened via various nanofillers and nanoparticles such as carbon nanotubes (CNTs), graphene platelets (GPLs), and graphene oxides (GOs). It covers equivalent properties of nanocomposites that are obtained via homogenization techniques based on micromechanics approaches. In addition, this comprehensive book: Discusses the effects of various nanofillers and identifies the amount of the improvement that can be induced in the stiffness of the polymeric nanocomposites by adding a finite content of the aforementioned nanosize reinforcements Magnifies the effect of the number of the stacking plies of the multi-layered nanocomposite structures on both static and dynamic responses of the continuous systems manufactured from such sandwich structures Presents a wide range of analytical and numerical solution procedures Investigates the effects of porosity along with mechanical characteristics of nanocomposites Considers the time-dependency of the material properties of the viscoelastic polymeric nanocomposite structures Performs analyses using an energy-based approach incorporated with the strain-displacement relations of both classical and higher-order shear deformable beam, plate, or shell theorems Aimed at researchers, academics, and professionals working across mechanical, materials, and other areas of engineering, this work ensures that readers are equipped to fully understand the mechanical characteristics of nanocomposite structures so that they can design, develop, and apply these materials effectively.
Mechanics of Multiscale Hybrid Nanocomposites provides a practical and application-based investigation of both static and dynamic behaviors of multiscale hybrid nanocomposites. The book outlines how to predict the mechanical behavior and material characteristics of these nanocomposites via two-step micromechanical homogenization techniques performed in an energy-based approach that is incorporated with the strain-displacement relations of shear deformable beam, plate and shell theories. The effects of using various nanofillers are detailed, providing readers with the best methods of improving nanocomposite stiffness. Both numerical (Ritz, Rayleigh-Ritz, etc.) and analytical (Navier, Galerkin, etc.) solution methods are outlined, along with examples and techniques. - Demonstrates the influences of carbon nanotube agglomerates and wave phenomena on the constitutive modeling of three-phase hybrid nanocomposites - Analyzes nonlinear dynamic characteristics of hybrid nanocomposite systems, as well as how to monitor the system's stability via linearization technique - Discusses the stability of linear nanocomposite systems subjected to the dispersion of elastic waves and bending loads - Outlines how to design three-phase nanocomposite structures for resistance against buckling-mode failure - Instructs how to derive the governing equations of continuous systems in both linear and nonlinear regimes in the framework of various types of kinematic shell and plate theories
Wave Dispersion Characteristics of Continuous Mechanical Systems provides a mechanical engineering-based analysis of wave dispersion response in various structures created from different materials. Looking at materials including strengthened nanocomposites, functionally graded materials, metal foams, and anisotropic materials, it uses analytical solution methods to solve typical problems in the framework of a micromechanics approach. Nanocomposites are a novel type of composite materials, fabricated by dispersing nanosized reinforcements in a matrix to combine the material properties of the matrix with the improved properties of nanosized elements. This book enables readers to learn about the theory and practical applications of this rapidly evolving field. Practically minded, the book investigates the impact of employing various nanofillers and demonstrates how this augments stiffness within the nanocomposite. Topics covered include agglomeration and waviness of nanofillers, porosity, elastic mediums, fluid flow, and the impact of the thermal environment on a propagated wave. Using mathematical formulations to solve wave dispersion characteristics of structures including beams, plates, and shells, the book obtains equations of structures using first- and higher-order shear deformation theories. This book will be of interest to professional engineers working in material and mechanical engineering, nanocomposites, nanofillers, and micromechanics. It will also be of interest to students in these fields.
This book focuses on basic and advanced concepts of wave propagation in diverse material systems and structures. Topics are organized in increasing order of complexity for better appreciation of the subject. Additionally, the book provides basic guidelines to design many of the futuristic materials and devices for varied applications. The material in the book also can be used for designing safer and more lightweight structures such as aircraft, bridges, and mechanical and structural components. The main objective of this book is to bring both the introductory and the advanced topics of wave propagation into one text. Such a text is necessary considering the multi-disciplinary nature of the subject. This book is written in a step-by step modular approach wherein the chapters are organized so that the complexity in the subject is slowly introduced with increasing chapter numbers. Text starts by introducing all the fundamental aspects of wave propagations and then moves on to advanced topics on the subject. Every chapter is provided with a number of numerical examples of increasing complexity to bring out the concepts clearly The solution of wave propagation is computationally very intensive and hence two different approaches, namely, the Finite Element method and the Spectral Finite method are introduced and have a strong focus on wave propagation. The book is supplemented by an exhaustive list of references at the end of the book for the benefit of readers.
Wave Propagation in Nanostructures describes the fundamental and advanced concepts of waves propagating in structures that have dimensions of the order of nanometers. The book is fundamentally based on non-local elasticity theory, which includes scale effects in the continuum model. The book predominantly addresses wave behavior in carbon nanotubes and Graphene structures, although the methods of analysis provided in this text are equally applicable to other nanostructures. The book takes the reader from the fundamentals of wave propagation in nanotubes to more advanced topics such as rotating nanotubes, coupled nanotubes, and nanotubes with magnetic field and surface effects. The first few chapters cover the basics of wave propagation, different modeling schemes for nanostructures and introduce non-local elasticity theories, which form the building blocks for understanding the material provided in later chapters. A number of interesting examples are provided to illustrate the important features of wave behavior in these low dimensional structures.
Elastodynamics, Volume II: Linear Theory is a continuation of Volume I and discusses the dynamical theory of linear isotropic elasticity. The volume deals with the fundamental theorems regarding elastodynamics and the different mathematical methods of solution and their employment in one, two, and three dimensions. The text outlines the fundamentals of linear elastodynamics and explains basic equations, displacement formulation, stress formulation, and the uniqueness theorem of elastodynamics. The book also investigates elastodynamic problems involving one-space dimension in governing boundaries, equations, and initial conditions. The book then compares two-dimensional problems as being subject to more precise mathematical analysis compared to three-dimensional situations by using scalar wave equations. The text then analyzes elastodynamic problems in three space dimensions when the solution depends on the condition of separability of the vector wave equation and the satisfaction of the boundary conditions. The diffraction of elastic waves is also described using two approaches: the integral equation method or the Eigen function technique. The book can prove valuable to researchers and practitioners whose work involves advanced statistics, general physics, and thermodynamics.
The Finite Element Method (FEM) has become an indispensable technology for the modelling and simulation of engineering systems. Written for engineers and students alike, the aim of the book is to provide the necessary theories and techniques of the FEM for readers to be able to use a commercial FEM package to solve primarily linear problems in mechanical and civil engineering with the main focus on structural mechanics and heat transfer.Fundamental theories are introduced in a straightforward way, and state-of-the-art techniques for designing and analyzing engineering systems, including microstructural systems are explained in detail. Case studies are used to demonstrate these theories, methods, techniques and practical applications, and numerous diagrams and tables are used throughout.The case studies and examples use the commercial software package ABAQUS, but the techniques explained are equally applicable for readers using other applications including NASTRAN, ANSYS, MARC, etc. - A practical and accessible guide to this complex, yet important subject - Covers modeling techniques that predict how components will operate and tolerate loads, stresses and strains in reality