Capacity And Transport In Contrast Composite Structures PDF Download
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Author | : A. A. Kolpakov |
Publisher | : CRC Press |
Total Pages | : 335 |
Release | : 2009-11-24 |
Genre | : Mathematics |
ISBN | : 9781439801765 |
Download Capacity and Transport in Contrast Composite Structures Book in PDF, ePub and Kindle
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.
Author | : Igor V. Andrianov |
Publisher | : CRC Press |
Total Pages | : 441 |
Release | : 2024-06-20 |
Genre | : Science |
ISBN | : 1000890309 |
Download Approximate Models of Mechanics of Composites Book in PDF, ePub and Kindle
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.
Author | : Leonid Berlyand |
Publisher | : Cambridge University Press |
Total Pages | : 259 |
Release | : 2013 |
Genre | : Mathematics |
ISBN | : 110702823X |
Download Introduction to the Network Approximation Method for Materials Modeling Book in PDF, ePub and Kindle
Introduces graduate students to the state of the art in this fast-developing field of applied mathematics.
Author | : Holm Altenbach |
Publisher | : Springer Nature |
Total Pages | : 533 |
Release | : 2023-07-12 |
Genre | : Technology & Engineering |
ISBN | : 3031287444 |
Download Mechanics of Heterogeneous Materials Book in PDF, ePub and Kindle
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.
Author | : Igor Andrianov |
Publisher | : Academic Press |
Total Pages | : 528 |
Release | : 2022-01-20 |
Genre | : Technology & Engineering |
ISBN | : 0323906532 |
Download Mechanics and Physics of Structured Media Book in PDF, ePub and Kindle
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
Author | : Simon Gluzman |
Publisher | : Academic Press |
Total Pages | : 330 |
Release | : 2017-09-20 |
Genre | : Mathematics |
ISBN | : 0128110473 |
Download Computational Analysis of Structured Media Book in PDF, ePub and Kindle
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
Author | : Panos M. Pardalos |
Publisher | : Springer |
Total Pages | : 648 |
Release | : 2014-09-16 |
Genre | : Mathematics |
ISBN | : 1493911244 |
Download Mathematics Without Boundaries Book in PDF, ePub and Kindle
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.
Author | : Uwe Kähler |
Publisher | : Springer Nature |
Total Pages | : 696 |
Release | : 2023-12-01 |
Genre | : Mathematics |
ISBN | : 3031363752 |
Download Analysis, Applications, and Computations Book in PDF, ePub and Kindle
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.
Author | : Holm Altenbach |
Publisher | : Springer Nature |
Total Pages | : 326 |
Release | : 2022-01-01 |
Genre | : Technology & Engineering |
ISBN | : 3030871851 |
Download Recent Approaches in the Theory of Plates and Plate-Like Structures Book in PDF, ePub and Kindle
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.
Author | : Guangliang Feng |
Publisher | : Springer Nature |
Total Pages | : 627 |
Release | : 2023-06-17 |
Genre | : Technology & Engineering |
ISBN | : 9819925320 |
Download Proceedings of the 9th International Conference on Civil Engineering Book in PDF, ePub and Kindle
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.