This book 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. Nanocomposites are a novel type of composite materials, fabricated through dispersing nanosized reinforcements in a matrix to combine the material properties of the matrix with the improved properties of nanosize elements. This improves the elastic properties, providing high frequency ranges and buckling limits, leading industries such as the automobile industry to implement nanocomposites in various materials used in the production process. This book enables readers to learn about the theory and practical applications of this rapidly evolving field. Nanocomposites use materials such as a matrix reinforced with carbon-based components such as carbon fiber, carbon nanotubes, graphene platelets and graphene oxide powders. The physical and chemical properties of these nanocomposites are computed with the help of homogenization techniques, developed in the framework of a micromechanics approach. Practically minded, the book investigates the impact of employing various nanofillers, and demonstrating 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. The 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.

Mechanics of Magnetostrictive Materials and Structures demonstrates the practical applications and uses for this cutting-edge smart material. Exploring the analytical and numerical solution procedures and characteristics of metamaterials more generally, the book details how these respond to external factors. Exceptionally adjustable and adaptable, magnetostrictive materials are artificial structures that provide distinctive physical properties. Providing clear illustrations throughout, this book provides a comprehensive guide to the theory and its applications. Presenting the mathematical tools needed to analyse magnetostrictive materials and structures, through the use of MATLAB, the book will also detail static analysis. Comprehensively assessing the practicalities of this smart material, it also discusses vibration and buckling under different loads, alongside dynamic behaviour. Aimed at students and professionals working in the field of mechanics, materials and dynamics, the book is an essential guide to this rapidly developing area.

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.

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.

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.

Mechanics of Smart Magneto-electro-elastic Nanostructures provides mathematical models for buckling and vibration analysis of flexoelectric and magneto-electro-elastic nanostructures under thermal environment effects. Analytical results are presented in each chapter based on changes in different parameters, including various electric and magnetic potential, non-local parameters or different boundary conditions and their effects on vibration and buckling behavior on nanobeams and nanoplates. Key characteristics of smart materials and their response to external factors are presented, including size-dependency of nanostructures, effect of various gradient indexes, thermal environment effects, and effects of elastic foundation.

The laminated composite structures can be tailored to design advanced structures, but the sharp change in the properties of each layer at the interface between two adjacent layers causes large inter-laminar shear stresses that may eventually give rise to well known phenomenon known as delamination. Such detrimental effects can be mitigated by grading the properties in a continuous manner across the thickness direction resulting in a new class of materials known as 'functionally graded materials' (FGMs). This book presents a non-linear dynamics and vibration analysis on functionally graded circular and annular plates that are bonded with piezoelectric actuator layers considering the implications of thermal effects on piezoelectric behaviour of the coupled structure.

A material structure assembled from a layer or cluster of atoms with the size of the order of nanometers is called a nanostructure. There are many events such as the discovery of scanning electron microscopy that gave fillip to nanotechnology research. However, with the discovery of a new allotrope of carbon in the late 1980s and early 1990s, namely the fullerene, carbon nanotubes, and graphene, a new chapter in nanotechnology research has emerged. These have become the basic building blocks for many nanodevices such as nano sensors, nano actuators, nano gyroscopes, etc. All of these devices are packaged under Nano Electro Mechanical Systems (NEMS) or Nano Opto Mechanical Systems (NOMS) devices. The key elements in these devices are the nanobeams, nanorods, nanoplates and nanoshells, respectively. This book is a comprehensive text to cover the mechanical analyses of nanobeams. The book introduces the reader to the fundamentals, as well as more in-depth aspects, of vibration and buckling analyses of nanoscale beams faced with different environments and the associated latest research applications. Most of the solutions presented in these chapters are the results of investigations conducted by the author and his collaborators since 2015. The results presented herein may be treated as a benchmark for checking the validity and accuracy of other numerical solutions. Despite a number of existing texts on the theory and analysis of nanoscale beams, there is not a single book that is devoted entirely to the mechanical investigation of nanobeams. It is hoped that this book will fill the gap to some extent and be used as a valuable reference source for postgraduate students, engineers, scientists, and applied mathematicians in this field.