Capacity And Transport In Contrast Composite Structures

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Capacity and Transport in Contrast Composite Structures

Author : A. A. Kolpakov
Publisher : CRC Press
ISBN 13 : 9781439801765
Total Pages : 335 pages
Book Rating : 4.8/5 (17 download)

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Book Synopsis Capacity and Transport in Contrast Composite Structures by : A. A. Kolpakov

Download or read book Capacity and Transport in Contrast Composite Structures written by A. A. Kolpakov and published by CRC Press. This book was released on 2009-11-24 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to the Network Approximation Method for Materials Modeling

Author : Leonid Berlyand
Publisher : Cambridge University Press
ISBN 13 : 110702823X
Total Pages : 259 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Introduction to the Network Approximation Method for Materials Modeling by : Leonid Berlyand

Download or read book Introduction to the Network Approximation Method for Materials Modeling written by Leonid Berlyand and published by Cambridge University Press. This book was released on 2013 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces graduate students to the state of the art in this fast-developing field of applied mathematics.

Mechanics of Heterogeneous Materials

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3031287444
Total Pages : 533 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Mechanics of Heterogeneous Materials by : Holm Altenbach

Download or read book Mechanics of Heterogeneous Materials written by Holm Altenbach and published by Springer Nature. This book was released on 2023-07-12 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is published on dedication of Prof. Dr. Igor Sevostianov who passed away in 2021. He was a great Russian-American scientist who made significant contributions in the field of mechanics of heterogeneous media. This book contains research papers from his friends and colleagues in this research field.

Proceedings of the 9th International Conference on Civil Engineering

Author : Guangliang Feng
Publisher : Springer Nature
ISBN 13 : 9819925320
Total Pages : 627 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Proceedings of the 9th International Conference on Civil Engineering by : Guangliang Feng

Download or read book Proceedings of the 9th International Conference on Civil Engineering written by Guangliang Feng and published by Springer Nature. This book was released on 2023-06-17 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book is a compilation of selected papers from the 9th International Conference on Civil Engineering (ICCE2022). The work focuses on novel research findings on seismic technology of civil engineering structures, High-tech construction materials, digitalization of civil engineering, urban underground space development. The contents make valuable contributions to academic researchers and engineers.

Recent Approaches in the Theory of Plates and Plate-Like Structures

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3030871851
Total Pages : 326 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Recent Approaches in the Theory of Plates and Plate-Like Structures by : Holm Altenbach

Download or read book Recent Approaches in the Theory of Plates and Plate-Like Structures written by Holm Altenbach and published by Springer Nature. This book was released on 2022-01-01 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the various approaches in establishment the basic equations of one- and two-dimensional structural elements. In addition, the boundaries of validity of the theories and the estimation of errors in approximate theories are given. Many contributions contain not only new theories, but also new applications, which makes the book interesting for researcher and graduate students.

Mechanics and Physics of Structured Media

Author : Igor Andrianov
Publisher : Academic Press
ISBN 13 : 0323906532
Total Pages : 528 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Mechanics and Physics of Structured Media by : Igor Andrianov

Download or read book Mechanics and Physics of Structured Media written by Igor Andrianov and published by Academic Press. This book was released on 2022-01-20 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Computational Analysis of Structured Media

Author : Simon Gluzman
Publisher : Academic Press
ISBN 13 : 0128110473
Total Pages : 328 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Computational Analysis of Structured Media by : Simon Gluzman

Download or read book Computational Analysis of Structured Media written by Simon Gluzman and published by Academic Press. This book was released on 2017-09-20 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Analysis of Structured Media presents a systematical approach to analytical formulae for the effective properties of deterministic and random composites. Schwarz’s method and functional equations yield for use in symbolic-numeric computations relevant to the effective properties. The work is primarily concerned with constructive topics of boundary value problems, complex analysis, and their applications to composites. Symbolic-numerical computations are widely used to deduce new formulae interesting for applied mathematicians and engineers. The main line of presentation is the investigation of two-phase 2D composites with non-overlapping inclusions randomly embedded in matrices. Computational methodology for main classes of problems in structured media Theory of Representative Volume Element Combines exact results, Monte-Carlo simulations and Resummation techniques under one umbrella Contains new analytical formulae obtained in the last ten years and it combines different asymptotic methods with the corresponding computer implementations

Analysis, Applications, and Computations

Author : Uwe Kähler
Publisher : Springer Nature
ISBN 13 : 3031363752
Total Pages : 696 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Analysis, Applications, and Computations by : Uwe Kähler

Download or read book Analysis, Applications, and Computations written by Uwe Kähler and published by Springer Nature. This book was released on 2023-12-01 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the contributions of the participants of the 13th International ISAAC Congress 2021, held in Ghent, Belgium. The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on current research in mathematical analysis and its various interdisciplinary applications.

2D and Quasi-2D Composite and Nanocomposite Materials

Author : Ross McPhedran
Publisher : Elsevier
ISBN 13 : 0128188200
Total Pages : 318 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis 2D and Quasi-2D Composite and Nanocomposite Materials by : Ross McPhedran

Download or read book 2D and Quasi-2D Composite and Nanocomposite Materials written by Ross McPhedran and published by Elsevier. This book was released on 2020-06-05 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2D and Quasi-2D Composite and Nanocomposite Materials: Theory, Properties and Photonic Applications covers the theory, characterization and computational modeling of 2D composite materials and shows how they are used for the creation of materials for 3D structures The book covers three major themes: Properties of 2D and quasi-2D composites are discussed in the context of homogenization theory. Homogenization results are discussed for spatiotemporal material composites assembled from materials which are distributed on a micro-scale in space and in time. New types of transport phenomena and localization in random media are addressed, with particular attention to the non-reciprocity of transport coefficients. Plasmonics and magneto-optics are also of particular interest. Magneto-transport and sub-wavelength resolution in electromagnetic and acoustic imaging are further considered. This book is an important resource for materials scientists and engineers working on nanomaterials, photonic composites, and materials theory, modeling and simulations. Outlines major modelling techniques of 2D nanocomposites for photonic applications Explores how the properties of 2D nanocomposites make them suitable for use for building 3D structures Assesses the challenges of using 2D nanocomposites for designing new devices on a mass scale

Asymptotical Mechanics of Composites

Author : Igor V. Andrianov
Publisher : Springer
ISBN 13 : 3319657860
Total Pages : 329 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Asymptotical Mechanics of Composites by : Igor V. Andrianov

Download or read book Asymptotical Mechanics of Composites written by Igor V. Andrianov and published by Springer. This book was released on 2017-11-09 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Functional Equations

Author : Themistocles M. Rassias
Publisher : Springer
ISBN 13 : 1493912461
Total Pages : 555 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Handbook of Functional Equations by : Themistocles M. Rassias

Download or read book Handbook of Functional Equations written by Themistocles M. Rassias and published by Springer. This book was released on 2014-11-18 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), “There are three reasons for the study of inequalities: practical, theoretical, and aesthetic.” On the aesthetic aspects, he said, “As has been pointed out, beauty is in the eye of the beholder. However, it is generally agreed that certain pieces of music, art, or mathematics are beautiful. There is an elegance to inequalities that makes them very attractive.” The content of the Handbook focuses mainly on both old and recent developments on approximate homomorphisms, on a relation between the Hardy–Hilbert and the Gabriel inequality, generalized Hardy–Hilbert type inequalities on multiple weighted Orlicz spaces, half-discrete Hilbert-type inequalities, on affine mappings, on contractive operators, on multiplicative Ostrowski and trapezoid inequalities, Ostrowski type inequalities for the Riemann–Stieltjes integral, means and related functional inequalities, Weighted Gini means, controlled additive relations, Szasz–Mirakyan operators, extremal problems in polynomials and entire functions, applications of functional equations to Dirichlet problem for doubly connected domains, nonlinear elliptic problems depending on parameters, on strongly convex functions, as well as applications to some new algorithms for solving general equilibrium problems, inequalities for the Fisher’s information measures, financial networks, mathematical models of mechanical fields in media with inclusions and holes.

Approximate Models of Mechanics of Composites

Author : Igor V. Andrianov
Publisher : CRC Press
ISBN 13 : 1000890309
Total Pages : 441 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Approximate Models of Mechanics of Composites by : Igor V. Andrianov

Download or read book Approximate Models of Mechanics of Composites written by Igor V. Andrianov and published by CRC Press. This book was released on 2024-06-20 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximate Models of Mechanics of Composites: An Asymptotic Approach is an essential guide to constructing asymptotic models and mathematical methods to correctly identify the mechanical behavior of composites. It provides methodology for predicting and evaluating composite behavior in various structures, leading to accurate mathematical and physical assessments. The book estimates the error of approximations through comparing asymptotic solutions with the results of numerical and analytical solutions to gain a holistic view of the data. The authors have developed asymptotic models based on mathematical and physical rigorous approaches, which include three-phase models of fibrous composites, a modernized three-phase composite model with cylindrical inclusions, and models of two-dimensional composites of hexagonal structure. Also covered are two-phase models of composites related to the Maxwell formula and a percolation transition model for elastic problems based on the self-consistency method and Padé approximations. By obtaining analytical expressions to effectively characterize composite materials, their physical and geometric parameters can be accurately assessed. This book suits engineers and students working in material science, mechanical engineering, physics, and mathematics, as well as composite materials in industries such as construction, transport, aerospace, and chemical engineering.

Mathematics Without Boundaries

Author : Panos M. Pardalos
Publisher : Springer
ISBN 13 : 1493911244
Total Pages : 648 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Mathematics Without Boundaries by : Panos M. Pardalos

Download or read book Mathematics Without Boundaries written by Panos M. Pardalos and published by Springer. This book was released on 2014-09-16 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of chapters written by eminent scientists and engineers from the international community and present significant advances in several theories, methods and applications of an interdisciplinary research. These contributions focus on both old and recent developments of Global Optimization Theory, Convex Analysis, Calculus of Variations, Discrete Mathematics and Geometry, as well as several applications to a large variety of concrete problems, including applications of computers to the study of smoothness and analyticity of functions, applications to epidemiological diffusion, networks, mathematical models of elastic and piezoelectric fields, optimal algorithms, stability of neutral type vector functional differential equations, sampling and rational interpolation for non-band-limited signals, recurrent neural network for convex optimization problems and experimental design. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical and Engineering subjects and especially to graduate students who search for the latest information.

Current Trends in Analysis, its Applications and Computation

Author : Paula Cerejeiras
Publisher : Springer Nature
ISBN 13 : 3030875024
Total Pages : 663 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Current Trends in Analysis, its Applications and Computation by : Paula Cerejeiras

Download or read book Current Trends in Analysis, its Applications and Computation written by Paula Cerejeiras and published by Springer Nature. This book was released on 2022-10-03 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the contributions of the participants of the 12th ISAAC congress which was held at the University of Aveiro, Portugal, from July 29 to August 3, 2019. These contributions originate from the following sessions: Applications of dynamical systems theory in biology, Complex Analysis and Partial Differential Equations, Complex Geometry, Complex Variables and Potential Theory, Constructive Methods in the Theory of Composite and Porous Media, Function Spaces and Applications, Generalized Functions and Applications, Geometric & Regularity Properties of Solutions to Elliptic and Parabolic PDEs, Geometries Defined by Differential Forms, Partial Differential Equations on Curved Spacetimes, Partial Differential Equations with Nonstandard Growth, Quaternionic and Clifford Analysis, Recent Progress in Evolution Equations, Wavelet theory and its Related Topics.

Introduction to Mathematical Modeling and Computer Simulations

Author : Vladimir Mityushev
Publisher : CRC Press
ISBN 13 : 1351998765
Total Pages : 241 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Introduction to Mathematical Modeling and Computer Simulations by : Vladimir Mityushev

Download or read book Introduction to Mathematical Modeling and Computer Simulations written by Vladimir Mityushev and published by CRC Press. This book was released on 2018-02-19 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can be considered an interdisciplinary introduction to applied mathematics and to computer simulations. Some familiarity with calculus and algebra is assumed. Presents a systematic and self-contained presentation of the foundations of Mathematical Modeling. Discusses various ‘tricks' that can be used in Computer Simulations. Provides an exhaustive and clear explanation of how to develop and apply mathematical models, as well as corresponding codes for symbolic and numerical computations.

Singularly Perturbed Boundary Value Problems

Author : Matteo Dalla Riva
Publisher : Springer Nature
ISBN 13 : 3030762599
Total Pages : 672 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Singularly Perturbed Boundary Value Problems by : Matteo Dalla Riva

Download or read book Singularly Perturbed Boundary Value Problems written by Matteo Dalla Riva and published by Springer Nature. This book was released on 2021-10-01 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation parameter is the size of the holes. The book is the first introduction to the topic and covers the theoretical material and its applications to a series of problems that range from simple illustrative examples to more involved research results. The Functional Analytic Approach makes constant use of the integral representation method for the solutions of boundary value problems, of Potential Theory, of the Theory of Analytic Functions both in finite and infinite dimension, and of Nonlinear Functional Analysis. Designed to serve various purposes and readerships, the extensive introductory part spanning Chapters 1–7 can be used as a reference textbook for graduate courses on classical Potential Theory and its applications to boundary value problems. The early chapters also contain results that are rarely presented in the literature and may also, therefore, attract the interest of more expert readers. The exposition moves on to introduce the Functional Analytic Approach. A reader looking for a quick introduction to the method can find simple illustrative examples specifically designed for this purpose. More expert readers will find a comprehensive presentation of the Functional Analytic Approach, which allows a comparison between the approach of the book and the more classical expansion methods of Asymptotic Analysis and offers insights on the specific features of the approach and its applications to linear and nonlinear boundary value problems.

Sixty Shades of Generalized Continua

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3031261860
Total Pages : 781 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Sixty Shades of Generalized Continua by : Holm Altenbach

Download or read book Sixty Shades of Generalized Continua written by Holm Altenbach and published by Springer Nature. This book was released on 2023-02-13 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, well-known scientists discuss modern aspects of generalized continua, in order to better understand modern materials and advanced structures. They possess complicated internal structure, and it requires the development of new approaches to model such structures and new effects caused by it. This book combines fundamental contributions in honor of Victor Eremeyev and his 60th birthday.