Home » Books » Asymptotical Mechanics Of Composites

Asymptotical Mechanics Of Composites PDF Books


PDF download Asymptotical Mechanics Of Composites full PDF books. Free access book title Asymptotical Mechanics Of Composites, the book also save in PDF, EPUB, and Mobi Format. To read online or download book Asymptotical Mechanics Of Composites, Click Get Books for full access, and save it on your phones, kindle device, tablets or PC.

Asymptotical Mechanics Of Composites


Asymptotical Mechanics Of Composites
Author: Igor V. Andrianov
Publisher: Springer
ISBN: 3319657860
Size: 20.35 MB
Format: PDF, Mobi
View: 6427
Get Books


In this book the authors show that it is possible to construct efficient computationally oriented models of multi-parameter complex systems by using asymptotic methods, which can, owing to their simplicity, be directly used for controlling processes arising in connection with composite material systems. The book focuses on this asymptotic-modeling-based approach because it allows us to define the most important out of numerous parameters describing the system, or, in other words, the asymptotic methods allow us to estimate the sensitivity of the system parameters. Further, the book addresses the construction of nonlocal and higher-order homogenized models. Local fields on the micro-level and the influence of so-called non-ideal contact between the matrix and inclusions are modeled and investigated. The book then studies composites with non-regular structure and cluster type composite conductivity, and analyzes edge effects in fiber composite materials. Transition of load from a fiber to a matrix for elastic and viscoelastic composites, various types of fiber composite fractures, and buckling of fibers in fiber-reinforced composites is also investigated. Last but not least, the book includes studies on perforated membranes, plates, and shells, as well as the asymptotic modeling of imperfect nonlinear interfaces.




Asymptotic Models Of Fields In Dilute And Densely Packed Composites


Asymptotical Mechanics Of Composites
Author: A B Movchan
Publisher: World Scientific
ISBN: 1783261250
Size: 21.33 MB
Format: PDF, ePub, Mobi
View: 1470
Get Books


This monograph provides a systematic study of asymptotic models of continuum mechanics for composite structures, which are either dilute (for example, two-phase composite structures with small inclusions) or densely packed (in this case inclusions may be close to touching). It is based on the results of recent research and includes a comprehensive analysis of dipole and multipole fields associated with defects in solids. The text covers static problems of elasticity in dilute composites as well as spectral problems. Applications of the mathematical models included in the book are in damage mechanics and in problems of design of composite structures that can be used as filters or polarisers of elastic waves. Dipole tensors are defined in Chapter 1 both for scalar boundary value problems for the Laplacian and for vector problems of elasticity. In Chapter 2 the dipole tensors are used in spectral problems involving domains with small defects. Chapter 3 introduces a multipole method for static problems (both electrostatics and elasticity) in composite structures containing doubly periodic arrays of circular inclusions. Chapter 4 presents a multipole method for eigenvalue problems of electromagnetism and elasticity. Contents:Long and Close Range Interaction within Elastic StructuresDipole Tensors in Spectral Problems of ElasticityMultipole Methods and Homogenisation in Two-Dimensions Readership: Graduate students and researchers in applied mathematics and mechanics who are interested in asymptotic theory of partial differential equations, spectral theory, and mathematical models of composite structures. Reviews:“The material is interesting and based on results of recent research.”Mathematical Reviews




Asymptotical Mechanics Of Thin Walled Structures


Asymptotical Mechanics Of Composites
Author: Igor V. Andrianov
Publisher: Springer Science & Business Media
ISBN: 354045246X
Size: 63.33 MB
Format: PDF, Docs
View: 5899
Get Books


In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and their applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.




Mechanics And Physics Of Structured Media


Asymptotical Mechanics Of Composites
Author: Igor Andrianov
Publisher: Academic Press
ISBN: 0323906532
Size: 33.23 MB
Format: PDF, ePub
View: 1922
Get Books


Mechanics and Physics of Structured Media: Asymptotic and Integral Methods of Leonid Filshtinsky provides unique information on the macroscopic properties of various composite materials and the mathematical techniques key to understanding their physical behaviors. The book is centered around the arguably monumental work of Leonid Filshtinsky. His last works provide insight on fracture in electromagnetic-elastic systems alongside approaches for solving problems in mechanics of solid materials. Asymptotic methods, the method of complex potentials, wave mechanics, viscosity of suspensions, conductivity, vibration and buckling of functionally graded plates, and critical phenomena in various random systems are all covered at length. Other sections cover boundary value problems in fracture mechanics, two-phase model methods for heterogeneous nanomaterials, and the propagation of acoustic, electromagnetic, and elastic waves in a one-dimensional periodic two-component material. Covers key issues around the mechanics of structured media, including modeling techniques, fracture mechanics in various composite materials, the fundamentals of integral equations, wave mechanics, and more Discusses boundary value problems of materials, techniques for predicting elasticity of composites, and heterogeneous nanomaterials and their statistical description Includes insights on asymptotic methods, wave mechanics, the mechanics of piezo-materials, and more Applies homogenization concepts to various physical systems




Capacity And Transport In Contrast Composite Structures


Asymptotical Mechanics Of Composites
Author: A. A. Kolpakov
Publisher: CRC Press
ISBN: 9781439801765
Size: 79.70 MB
Format: PDF
View: 6834
Get Books


Is it possible to apply a network model to composites with conical inclusions? How does the energy pass through contrast composites? Devoted to the analysis of transport problems for systems of densely packed, high-contrast composite materials, Capacity and Transport in Contrast Composite Structures: Asymptotic Analysis and Applications answers questions such as these and presents new and modified asymptotic methods for real-world applications in composite materials development. A mathematical discussion of phenomena related to natural sciences and engineering, this book covers historical developments and new progress in mathematical calculations, computer techniques, finite element computer programs, and presentation of results of numerical computations. The "transport problem"—which is described with scalar linear elliptic equations—implies problems of thermoconductivity, diffusion, and electrostatics. To address this "problem," the authors cover asymptotic analysis of partial differential equations, material science, and the analysis of effective properties of electroceramics. Providing numerical calculations of modern composite materials that take into account nonlinear effects, the book also: Presents results of numerical analysis, demonstrating specific properties of distributions of local fields in high-contrast composite structures and systems of closely placed bodies Assesses whether total flux, energy, and capacity exhaust characteristics of the original continuum model Illustrates the expansion of the method for systems of bodies to highly filled contrast composites This text addresses the problem of loss of high-contrast composites, as well as transport and elastic properties of thin layers that cover or join solid bodies. The material presented will be particularly useful for applied mathematicians interested in new methods, and engineers dealing with prospective materials and design methods.



Asymptotical Mechanics of Composites
Language: en
Pages: 329
Authors: Igor V. Andrianov, Jan Awrejcewicz, Vladyslav V. Danishevskyy
Categories: Science
Type: BOOK - Published: 2017-11-09 - Publisher: Springer
In this book the authors show that it is possible to construct efficient computationally oriented models of multi-parameter complex systems by using asymptotic methods, which can, owing to their simplicity, be directly used for controlling processes arising in connection with composite material systems. The book focuses on this asymptotic-modeling-based approach
Asymptotical Mechanics of Thin-Walled Structures
Language: en
Pages: 515
Authors: Igor V. Andrianov, Jan Awrejcewicz, Leonid I. Manevitch
Categories: Science
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media
In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and their applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as
Asymptotic Models of Fields in Dilute and Densely Packed Composites
Language: en
Pages: 204
Authors: A B Movchan, N V Movchan, C G Poulton
Categories: Mathematics
Type: BOOK - Published: 2002-11-06 - Publisher: World Scientific
This monograph provides a systematic study of asymptotic models of continuum mechanics for composite structures, which are either dilute (for example, two-phase composite structures with small inclusions) or densely packed (in this case inclusions may be close to touching). It is based on the results of recent research and includes
Applied Analysis of Composite Media
Language: en
Pages: 328
Authors: Piotr Drygas, Vladimir Mityushev, Simon Gluzman, Wojciech Nawalaniec
Categories: Mathematics
Type: BOOK - Published: 2019-10-22 - Publisher: Woodhead Publishing Limited
Applied Analysis of Composite Media: Analytical and Computational Approaches presents formulas and techniques that can used to study 2D and 3D problems in composites and random porous media. The main strength of this book is its broad range of applications that illustrate how these techniques can be applied to investigate
Mechanics and Physics of Structured Media
Language: en
Pages: 524
Authors: Igor Andrianov, Simon Gluzman, Vladimir Mityushev
Categories: Technology & Engineering
Type: BOOK - Published: 2022-01-28 - Publisher: Academic Press
Mechanics and Physics of Structured Media: Asymptotic and Integral Methods of Leonid Filshtinsky provides unique information on the macroscopic properties of various composite materials and the mathematical techniques key to understanding their physical behaviors. The book is centered around the arguably monumental work of Leonid Filshtinsky. His last works provide