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Applied Analysis of Composite Media

Applied Analysis of Composite Media
Analytical and Computational Approaches

by Piotr Drygas,Vladimir Mityushev,Simon Gluzman,Wojciech Nawalaniec

  • Publisher : Woodhead Publishing Limited
  • Release : 2019-10-22
  • Pages : 328
  • ISBN : 0081026706
  • Language : En, Es, Fr & De
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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 elasticity, viscous flow and bacterial motion in composite materials. In addition to paying attention to constructive computations, the authors have also included information on codes via a designated webpage. This book will be extremely useful for postgraduate students, academic researchers, mathematicians and industry professionals who are working in structured media. Provides a uniform, computational methodology that can be applied to the main classes of transport and elastic problems by using a combination of exact formulae, advanced simulations and asymptotic methods Includes critical phenomena in transport and elastic problems for composites and porous media Applies computational methodology to biological structures Presents computer protocols/algorithms that can be used for materials design

Applied Analysis of Composite Media

Applied Analysis of Composite Media
Analytical and Computational Results for Materials Scientists and Engineers

by Petter Drygberg

  • Publisher : Unknown Publisher
  • Release : 2020
  • Pages : 374
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Applied Analysis of Composite Media

Applied Analysis of Composite Media
Analytical and Computational Results for Materials Scientists and Engineers

by Piotr Drygaś,Simon Gluzman,Vladimir Mityushev,Wojciech Nawalaniec

  • Publisher : Woodhead Publishing
  • Release : 2019-10-18
  • Pages : 372
  • ISBN : 008102732X
  • Language : En, Es, Fr & De
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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 elasticity, viscous flow and bacterial motion in composite materials. In addition to paying attention to constructive computations, the authors have also included information on codes via a designated webpage. This book will be extremely useful for postgraduate students, academic researchers, mathematicians and industry professionals who are working in structured media. Provides a uniform, computational methodology that can be applied to the main classes of transport and elastic problems by using a combination of exact formulae, advanced simulations and asymptotic methods Includes critical phenomena in transport and elastic problems for composites and porous media Applies computational methodology to biological structures Presents computer protocols/algorithms that can be used for materials design

Mechanics and Physics of Structured Media

Mechanics and Physics of Structured Media
Asymptotic and Integral Equations Methods of Leonid Filshtinsky.

by Igor Andrianov,Simon Gluzman,Vladimir Mityushev

  • Publisher : Academic Press
  • Release : 2022-01-28
  • Pages : 524
  • ISBN : 0323906532
  • Language : En, Es, Fr & De
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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

Abstract and Applied Analysis

Abstract and Applied Analysis
Proceedings of the International Conference, Hanoi, Vietnam, 13-17 August 2002

by N. M. Chuong,L. Nirenberg,Wolfgang Tutschke

  • Publisher : World Scientific
  • Release : 2004
  • Pages : 567
  • ISBN : 981238944X
  • Language : En, Es, Fr & De
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This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods.Topics include linear elliptic systems for composite material ? the coefficients may jump from domain to domain; Stochastic Analysis ? many applied problems involve evolution equations with random terms, leading to the use of stochastic analysis.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences

Abstract and Applied Analysis

Abstract and Applied Analysis
A Book

by N M Chuong,L Nirenberg,W Tutschke

  • Publisher : World Scientific
  • Release : 2004-06-01
  • Pages : 580
  • ISBN : 9814482110
  • Language : En, Es, Fr & De
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This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods. Topics include linear elliptic systems for composite material — the coefficients may jump from domain to domain; Stochastic Analysis — many applied problems involve evolution equations with random terms, leading to the use of stochastic analysis. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents:Deterministic Analysis:Differentiation of Hypergeometric Functions with Respect to Parameters (Yu A Brychkov & K O Geddes)On the Lagrange Problem About the Strongest Columns (Yu V Egorov)Wavelet Based Fast Solution of Boundary Integral Equations (H Harbrecht & R Schneider)Semi-Classical Methods in Ginzburg–Landau Theory (B Helffer)Stability of Equilibriums in One-Dimensional Motion of Compressible Viscous Gas Forced by Self-Gravity (Y Iwata & Y Yamamoto)Estimates for Elliptic Systems for Composite Material (L Nirenberg)On Asymptotics for the Mabuchi Energy Functional (D H Phong & J Sturm)Regularity of Solutions of the Initial Boundary Value Problem for Linearized Equations of Ideal Magneto-Hydrodynamics (M Yamamoto)Stochastic Analysis:Impulsive Stochastic Evolution Inclusions with Multi-Valued Diffusion (N U Ahmed)Some of Future Directions of White Noise Analysis (T Hida)Constructing Random Probability Distributions (T P Hill & D E R Sitton)Multiparameter Additive Processes of Mixture Type (K Inoue)The Random Integral Representation Hypothesis Revisited: New Classes of S-Selfdecomposable Laws (Z J Jurek)Semigroups and Processes with Parameter in a Cone (J Pedersen & K-I Sato)and other papers Readership: Researchers and academics in the fields of analysis and differential equations, approximation theory, probability and statistics. Keywords:Almost Complex Manifolds;Noncommutative Geometry;Lagrange Problem;Boundary Value Problem

2D and Quasi-2D Composite and Nanocomposite Materials

2D and Quasi-2D Composite and Nanocomposite Materials
Properties and Photonic Applications

by Ross Mcphedran,Simon Gluzman,Vladimir Mityushev,Natalia Rylko

  • Publisher : Elsevier
  • Release : 2020-06-05
  • Pages : 316
  • ISBN : 0128188200
  • Language : En, Es, Fr & De
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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

Multiscale Problems in Science and Technology

Multiscale Problems in Science and Technology
Challenges to Mathematical Analysis and Perspectives

by Nenad Antonic,C.J. van Duijn,Willi Jäger,Andro Mikelic

  • Publisher : Springer Science & Business Media
  • Release : 2011-06-27
  • Pages : 316
  • ISBN : 3642562000
  • Language : En, Es, Fr & De
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The International conference on Multiscale problems in science and technol ogy; Challenges to mathematical analysis and applications brought together mathematicians working on multiscale techniques (homogenisation, singular perturbation) and specialists from applied sciences who use these techniques. Our idea was that mathematicians could contribute to solving problems in the emerging applied disciplines usually overlooked by them and that specialists from applied sciences could pose new challenges for multiscale problems. Numerous problems in natural sciences contain multiple scales: flows in complex heterogeneous media, many particles systems, composite media, etc. Mathematically, we are led to study of singular homogenisation limits and the procedure is called upscaling or homogenisation. The processes to be up scaled are usually described by differential equations. For simple cases, when the differential equation is linear and the heterogeneities are periodic some progress has been made. However, most natural phenomena are described by nonlinear differential equations in a random nonhomogeneous medium and, despite an intensive development in recent years, there are many open problems. The objective of the conference was to bring together leading special ists from Europe and the United States and to discuss new challenges in this quickly developing field. Topics of the conference were Nonlinear Partial Differential Equations and Applied Analysis, with direct applications to the modeling in Material Sciences, Petroleum Engineering and Hydrodynamics.

Composite Media and Homogenization Theory

Composite Media and Homogenization Theory
An International Centre for Theoretical Physics Workshop Trieste, Italy, January 1990

by Gianni Dal Maso,Gianfausto Dell'Antonio

  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • Pages : 260
  • ISBN : 1468467875
  • Language : En, Es, Fr & De
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This volume contains the Proceedings of the Workshop on Composite Media and Homogenization Theory held in Trieste, Italy, from January 15 to 26, 1990. The workshop was organized by the International Centre for Theo retical Physics (ICTP); part of the activity was co-sponsored by the Interna tional School for Advanced Studies (SISSA). The workshop covered a broad range of topics in the mathematical the ory of composite materials and homogenization. Among the specific areas of focus were homogenization of periodic and nonperiodic structures, porous me dia, asymptotic analysis for linear and nonlinear problems, optimal bounds for effective moduli, waves in composite materials, optimal design and relaxation, random media. The workshop was actively attended by more than 100 participants from 23 countries. In the afternoon sessions 35 seminars were delivered by the participants. This volume contains research articles corresponding to 14 of the 20 invited talks which were presented. Its content will be of interest both to mathematicians working in the field and to applied mathematicians and engineers interested in modelling the behaviour of composite and random media We are pleased to express here our thanks to the ICTP for having made this workshop possible, to Ms. A. Bergamo for her continuous help during the workshop, and to Ms. C. Parma for her collaboration in editing the proceedings. Gianni Dal Maso Gian Fausto Dell'Antonio SIS SA, Trieste Universita "La Sapienza", Roma v Contents Preface ... v List of Speakers ... ix Contributors ... ... ... ... . xiii ... ... ...

Topics in Applied Analysis and Optimisation

Topics in Applied Analysis and Optimisation
Partial Differential Equations, Stochastic and Numerical Analysis

by Michael Hintermüller,José Francisco Rodrigues

  • Publisher : Springer Nature
  • Release : 2019-11-27
  • Pages : 396
  • ISBN : 3030331164
  • Language : En, Es, Fr & De
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This volume comprises selected, revised papers from the Joint CIM-WIAS Workshop, TAAO 2017, held in Lisbon, Portugal, in December 2017. The workshop brought together experts from research groups at the Weierstrass Institute in Berlin and mathematics centres in Portugal to present and discuss current scientific topics and to promote existing and future collaborations. The papers include the following topics: PDEs with applications to material sciences, thermodynamics and laser dynamics, scientific computing, nonlinear optimization and stochastic analysis.

Advances in Applied Analysis

Advances in Applied Analysis
A Book

by Sergei V. Rogosin,Anna A. Koroleva

  • Publisher : Springer Science & Business Media
  • Release : 2012-08-21
  • Pages : 256
  • ISBN : 3034804172
  • Language : En, Es, Fr & De
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This book contains survey papers based on the lectures presented at the 3rd International Winter School “Modern Problems of Mathematics and Mechanics” held in January 2010 at the Belarusian State University, Minsk. These lectures are devoted to different problems of modern analysis and its applications. An extended presentation of modern problems of applied analysis will enable the reader to get familiar with new approaches of mostly interdisciplinary character. The results discussed are application oriented and present new insight into applied problems of growing importance such as applications to composite materials, anomalous diffusion, and fluid dynamics.

Modern Problems in Applied Analysis

Modern Problems in Applied Analysis
A Book

by Piotr Drygaś,Sergei Rogosin

  • Publisher : Birkhäuser
  • Release : 2018-03-21
  • Pages : 214
  • ISBN : 3319726404
  • Language : En, Es, Fr & De
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This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows). The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems.

Recent Developments in Durability Analysis of Composite Systems

Recent Developments in Durability Analysis of Composite Systems
A Book

by H. Dardon,H. Fukuda,K.L. Reifsnider,G. Verchery

  • Publisher : CRC Press
  • Release : 2000-01-01
  • Pages : 500
  • ISBN : 9789058091031
  • Language : En, Es, Fr & De
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The papers from these proceedings address experimental and analytical methods for the characterization and analysis of modern composite and adhesive systems. They have been produced to provide understanding that can be used to design safe, reliable engineering components.

Computational Analysis of Structured Media

Computational Analysis of Structured Media
A Book

by Simon Gluzman,Vladimir Mityushev,Wojciech Nawalaniec

  • Publisher : Academic Press
  • Release : 2017-09-20
  • Pages : 328
  • ISBN : 0128110473
  • Language : En, Es, Fr & De
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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

Generalized Models and Non-classical Approaches in Complex Materials 1

Generalized Models and Non-classical Approaches in Complex Materials 1
A Book

by Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch

  • Publisher : Springer
  • Release : 2018-03-24
  • Pages : 760
  • ISBN : 3319724401
  • Language : En, Es, Fr & De
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This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Random Media and Composites

Random Media and Composites
A Book

by Robert V. Kohn,Graeme W. Milton

  • Publisher : SIAM
  • Release : 1989-01-01
  • Pages : 214
  • ISBN : 9780898712469
  • Language : En, Es, Fr & De
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Multiscale Problems in Science and Technology

Multiscale Problems in Science and Technology
Challenges to Mathematical Analysis and Perspectives : Proceedings of the Conference on Multiscale Problems in Science and Technology, Dubrovnik, Croatia, 3-9 September 2000

by Croatia) Conference on Multiscale Problems in Science and Technology (2000 : Dubrovnik

  • Publisher : Springer Science & Business Media
  • Release : 2002-06-26
  • Pages : 306
  • ISBN : 9783540435846
  • Language : En, Es, Fr & De
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Proceedings of the Conference on Multiscale Problems in Science and Technology, Dubrovnik, Croatia, 3-9 September 2000

Applied Mechanics Reviews

Applied Mechanics Reviews
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1969
  • Pages : 129
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Applied Mathematical Analysis: Theory, Methods, and Applications

Applied Mathematical Analysis: Theory, Methods, and Applications
A Book

by Hemen Dutta,James F. Peters

  • Publisher : Springer
  • Release : 2019-02-21
  • Pages : 810
  • ISBN : 3319999184
  • Language : En, Es, Fr & De
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This book addresses key aspects of recent developments in applied mathematical analysis and its use. It also highlights a broad range of applications from science, engineering, technology and social perspectives. Each chapter investigates selected research problems and presents a balanced mix of theory, methods and applications for the chosen topics. Special emphasis is placed on presenting basic developments in applied mathematical analysis, and on highlighting the latest advances in this research area. The book is presented in a self-contained manner as far as possible, and includes sufficient references to allow the interested reader to pursue further research in this still-developing field. The primary audience for this book includes graduate students, researchers and educators; however, it will also be useful for general readers with an interest in recent developments in applied mathematical analysis and applications.

Computational Mesomechanics of Composites

Computational Mesomechanics of Composites
Numerical Analysis of the Effect of Microstructures of Composites of Strength and Damage Resistance

by Leon L. Mishnaevsky, Jr

  • Publisher : John Wiley & Sons
  • Release : 2007-08-20
  • Pages : 294
  • ISBN : 9780470513187
  • Language : En, Es, Fr & De
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Mechanical properties of composite materials can be improved by tailoring their microstructures. Optimal microstructures of composites, which ensure desired properties of composite materials, can be determined in computational experiments. The subject of this book is the computational analysis of interrelations between mechanical properties (e.g., strength, damage resistance stiffness) and microstructures of composites. The methods of mesomechanics of composites are reviewed, and applied to the modelling of the mechanical behaviour of different groups of composites. Individual chapters are devoted to the computational analysis of the microstructure- mechanical properties relationships of particle reinforced composites, functionally graded and particle clusters reinforced composites, interpenetrating phase and unidirectional fiber reinforced composites, and machining tools materials.