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Author : Doina Cioranescu
Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.3/5 (91 download)
Download or read book Homogenization and Applications to Material Sciences written by Doina Cioranescu and published by . This book was released on 1995 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jerry L Ericksen
Publisher :
ISBN 13 : 9781461386476
Total Pages : 284 pages
Book Rating : 4.3/5 (864 download)
Download or read book Homogenization and Effective Moduli of Materials and Media written by Jerry L Ericksen and published by . This book was released on 1986-06-11 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Doïna Cioranescu
Publisher : Oxford University Press on Demand
ISBN 13 : 9780198565543
Total Pages : 262 pages
Book Rating : 4.5/5 (655 download)
Download or read book An Introduction to Homogenization written by Doïna Cioranescu and published by Oxford University Press on Demand. This book was released on 1999 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composite materials are widely used in industry: well-known examples of this are the superconducting multi-filamentary composites which are used in the composition of optical fibres. Such materials are complicated to model, as different points in the material will have different properties. The mathematical theory of homogenization is designed to deal with this problem, and hence is used to model the behaviour of these important materials. This book provides a self-contained and authoritative introduction to the subject for graduates and researchers in the field.
Author : Andrea Braides
Publisher : Oxford University Press
ISBN 13 : 9780198502463
Total Pages : 322 pages
Book Rating : 4.5/5 (24 download)
Download or read book Homogenization of Multiple Integrals written by Andrea Braides and published by Oxford University Press. This book was released on 1998 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the mathematical theory of the homogenization of multiple integrals, this book describes the overall properties of such functionals with various applications ranging from cellular elastic materials to Riemannian metrics.
Author : P. Ponte Castaneda
Publisher : Springer Science & Business Media
ISBN 13 : 1402026234
Total Pages : 371 pages
Book Rating : 4.4/5 (2 download)
Download or read book Nonlinear Homogenization and its Applications to Composites, Polycrystals and Smart Materials written by P. Ponte Castaneda and published by Springer Science & Business Media. This book was released on 2006-02-17 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although several books and conference proceedings have already appeared dealing with either the mathematical aspects or applications of homogenization theory, there seems to be no comprehensive volume dealing with both aspects. The present volume is meant to fill this gap, at least partially, and deals with recent developments in nonlinear homogenization emphasizing applications of current interest. It contains thirteen key lectures presented at the NATO Advanced Workshop on Nonlinear Homogenization and Its Applications to Composites, Polycrystals and Smart Materials. The list of thirty one contributed papers is also appended. The key lectures cover both fundamental, mathematical aspects of homogenization, including nonconvex and stochastic problems, as well as several applications in micromechanics, thin films, smart materials, and structural and topology optimization. One lecture deals with a topic important for nanomaterials: the passage from discrete to continuum problems by using nonlinear homogenization methods. Some papers reveal the role of parameterized or Young measures in description of microstructures and in optimal design. Other papers deal with recently developed methods – both analytical and computational – for estimating the effective behavior and field fluctuations in composites and polycrystals with nonlinear constitutive behavior. All in all, the volume offers a cross-section of current activity in nonlinear homogenization including a broad range of physical and engineering applications. The careful reader will be able to identify challenging open problems in this still evolving field. For instance, there is the need to improve bounding techniques for nonconvex problems, as well as for solving geometrically nonlinear optimum shape-design problems, using relaxation and homogenization methods.
Author : Julien Yvonnet
Publisher : Springer
ISBN 13 : 3030183831
Total Pages : 223 pages
Book Rating : 4.0/5 (31 download)
Download or read book Computational Homogenization of Heterogeneous Materials with Finite Elements written by Julien Yvonnet and published by Springer. This book was released on 2019-06-11 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a concise overview of the main theoretical and numerical tools to solve homogenization problems in solids with finite elements. Starting from simple cases (linear thermal case) the problems are progressively complexified to finish with nonlinear problems. The book is not an overview of current research in that field, but a course book, and summarizes established knowledge in this area such that students or researchers who would like to start working on this subject will acquire the basics without any preliminary knowledge about homogenization. More specifically, the book is written with the objective of practical implementation of the methodologies in simple programs such as Matlab. The presentation is kept at a level where no deep mathematics are required.
Author : Robert P. Gilbert
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781584887911
Total Pages : 352 pages
Book Rating : 4.8/5 (879 download)
Download or read book Homogenization written by Robert P. Gilbert and published by Chapman and Hall/CRC. This book was released on 2016-06-15 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough introduction to homogenization, a modeling procedure used to describe processes in complicated structures with known microstructures. It first presents the theoretical foundations of this powerful tool of analysis. Building on the theory, the authors explore various types of application problems, including flow in porous media, sound propagation in fluid saturated solids, acoustics of granular material, computational multiscale finite element methods, and interfaces in viscoelastic materials. The book also discusses results in which G-limits have different structures from the initial operators.
Author : Malena I. Español
Publisher : Springer Nature
ISBN 13 : 3031044967
Total Pages : 514 pages
Book Rating : 4.0/5 (31 download)
Download or read book Research in Mathematics of Materials Science written by Malena I. Español and published by Springer Nature. This book was released on 2022-09-27 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume highlights contributions of women mathematicians in the study of complex materials and includes both original research papers and reviews. The featured topics and methods draw on the fields of Calculus of Variations, Partial Differential Equations, Functional Analysis, Differential Geometry and Topology, as well as Numerical Analysis and Mathematical Modelling. Areas of applications include foams, fluid-solid interactions, liquid crystals, shape-memory alloys, magnetic suspensions, failure in solids, plasticity, viscoelasticity, homogenization, crystallization, grain growth, and phase-field models.
Author : Andrea Braides
Publisher : Springer Science & Business Media
ISBN 13 : 354036546X
Total Pages : 326 pages
Book Rating : 4.5/5 (43 download)
Download or read book Topics on Concentration Phenomena and Problems with Multiple Scales written by Andrea Braides and published by Springer Science & Business Media. This book was released on 2006-11-22 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of variational problems showing multi-scale behaviour with oscillation or concentration phenomena is a challenging topic of very active research. This volume collects lecture notes on the asymptotic analysis of such problems when multi-scale behaviour derives from scale separation in the passage from atomistic systems to continuous functionals, from competition between bulk and surface energies, from various types of homogenization processes, and on concentration effects in Ginzburg-Landau energies and in subcritical growth problems.
Author : Doina Cioranescu
Publisher :
ISBN 13 : 9789738433038
Total Pages : 129 pages
Book Rating : 4.4/5 (33 download)
Download or read book Homogenisation and Applications to Material Sciences written by Doina Cioranescu and published by . This book was released on 2002 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Management Association, Information Resources
Publisher : IGI Global
ISBN 13 : 1522517995
Total Pages : 1837 pages
Book Rating : 4.5/5 (225 download)
Download or read book Materials Science and Engineering: Concepts, Methodologies, Tools, and Applications written by Management Association, Information Resources and published by IGI Global. This book was released on 2017-01-11 with total page 1837 pages. Available in PDF, EPUB and Kindle. Book excerpt: The design and study of materials is a pivotal component to new discoveries in the various fields of science and technology. By better understanding the components and structures of materials, researchers can increase its applications across different industries. Materials Science and Engineering: Concepts, Methodologies, Tools, and Applications is a compendium of the latest academic material on investigations, technologies, and techniques pertaining to analyzing the synthesis and design of new materials. Through its broad and extensive coverage on a variety of crucial topics, such as nanomaterials, biomaterials, and relevant computational methods, this multi-volume work is an essential reference source for engineers, academics, researchers, students, professionals, and practitioners seeking innovative perspectives in the field of materials science and engineering.
Author : Juan Casado-Díaz
Publisher : Springer Nature
ISBN 13 : 3030981916
Total Pages : 119 pages
Book Rating : 4.0/5 (39 download)
Download or read book Optimal Design of Multi-Phase Materials written by Juan Casado-Díaz and published by Springer Nature. This book was released on 2022-03-31 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims the optimal design of a material (thermic or electrical) obtained as the mixture of a finite number of original materials, not necessarily isotropic. The problem is to place these materials in such a way that the solution of the corresponding state equation minimizes a certain functional that can depend nonlinearly on the gradient of the state function. This is the main novelty in the book. It is well known that this type of problems has no solution in general and therefore that it is needed to work with a relaxed formulation. The main results in the book refer to how to obtain such formulation, the optimality conditions, and the numerical computation of the solutions. In the case of functionals that do not depend on the gradient of the state equation, it is known that a relaxed formulation consists of replacing the original materials with more general materials obtained via homogenization. This includes materials with different properties of the originals but whose behavior can be approximated by microscopic mixtures of them. In the case of a cost functional depending nonlinearly on the gradient, it is also necessary to extend the cost functional to the set of these more general materials. In general, we do not dispose of an explicit representation, and then, to numerically solve the problem, it is necessary to design strategies that allow the functional to be replaced by upper or lower approximations. The book is divided in four chapters. The first is devoted to recalling some classical results related to the homogenization of a sequence of linear elliptic partial differential problems. In the second one, we define the control problem that we are mainly interested in solving in the book. We obtain a relaxed formulation and their main properties, including an explicit representation of the new cost functional, at least in the boundary of its domain. In the third chapter, we study the optimality conditions of the relaxed problem, and we describe some algorithms to numerically solve the problem. We also provide some numerical experiments carried out using such algorithms. Finally, the fourth chapter is devoted to briefly describe some extensions of the results obtained in Chapters 2 and 3 to the case of dealing with several state equations and the case of evolutive problems. The problems covered in the book are interesting for mathematicians and engineers whose work is related to mathematical modeling and the numerical resolution of optimal design problems in material sciences. The contents extend some previous results obtained by the author in collaboration with other colleagues.
Author : Simon Foner
Publisher : Springer Science & Business Media
ISBN 13 : 1475700377
Total Pages : 989 pages
Book Rating : 4.4/5 (757 download)
Download or read book Superconductor Materials Science: Metallurgy, Fabrication, and Applications written by Simon Foner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 989 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book encompasses the science, measurement, fabrica tion, and use of superconducting materials in large scale and small scale technologies. The present book is in some sense a continuation and completion of a series of two earlier books based on NA TO Advanced Study Institutes held over the last decade. The first book in the series entitled Superconducting Machines ~nd Devices: Large Systems Appli cations edited by S. Foner and B. B. Schwartz (1974) represented a compilation of all the applications of superconducting technology. The second book entitled Superconductor Applications: Squids and Machines, edited by B. B. Schwartz and S. Foner (1977) reviewed small scale applications and up-dated the large scale applications of superconductiv ity at that time. These two books are both introductions and advanced reference volumes for almost all aspects of the applications of super conductivity. The growth of applied superconductivity has mushroomed in the decade of the 1970's. Technologies which were discussed in the beginning of the 1970's are now beyond the prototype stage. Materials development and performance in operating systems is the basis of the continued applications and economic viability of super conducting technology. In this book, a complete review of all materials technology is presented by leading authorities who were instrumental in the development of superconducting materials technology. The present book is based on the NATO Advanced Study vi PREFACE Institute entitled Superconducting Materials: Science and Technology which was held from August 20 to August 30, 1980 in Sintra, Portugal.
Author : Catalin Picu
Publisher : Springer
ISBN 13 : 3030238466
Total Pages : 193 pages
Book Rating : 4.0/5 (32 download)
Download or read book Mechanics of Fibrous Materials and Applications written by Catalin Picu and published by Springer. This book was released on 2019-07-31 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book explores the state of the art in the mechanics of fibrous media, providing an overview of the theoretical, modelling and practical aspects of designing and working with these materials. It also describes the advanced methods needed to handle their specific features, including the mechanics of generalized continua, dedicated homogenization methods and computational techniques, and presents applications of fibrous media to diverse fields and over a broad spectrum of scales, ranging from aeronautics to biomechanics.
Author : Quan Jie Gao
Publisher : Trans Tech Publications Ltd
ISBN 13 : 3038135992
Total Pages : 1268 pages
Book Rating : 4.0/5 (381 download)
Download or read book Machinery, Materials Science and Engineering Applications, MMSE2011 written by Quan Jie Gao and published by Trans Tech Publications Ltd. This book was released on 2011-04-19 with total page 1268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume is indexed by Thomson Reuters CPCI-S (WoS). The purpose of this special collection was to strengthen national academic exchanges and cooperation in the field, to promote the rapid development of machinery, materials science and engineering applications, to improve China's machinery, materials science and engineering in the sense of academic status and international influence and to play an active role in reducing the distance between domestic and world-class norms. In accomplishing this, the present book succeeds admirably.
Author : Ralph C. Smith
Publisher : SIAM
ISBN 13 : 0898715482
Total Pages : 283 pages
Book Rating : 4.8/5 (987 download)
Download or read book Research Directions in Distributed Parameter Systems written by Ralph C. Smith and published by SIAM. This book was released on 2003-01-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eleven chapters, written by experts in their respective fields, on topics ranging from control of the Navier-Stokes equations to nondestructive evaluation - all of which are modeled by distributed parameter systems.
Author : M. Chen
Publisher : IOS Press
ISBN 13 : 1643684396
Total Pages : 1172 pages
Book Rating : 4.6/5 (436 download)
Download or read book Advances in Machinery, Materials Science and Engineering Application IX written by M. Chen and published by IOS Press. This book was released on 2023-11-14 with total page 1172 pages. Available in PDF, EPUB and Kindle. Book excerpt: New engineering materials, techniques and applications are constantly being researched and developed, and keeping up to speed with the latest advances is crucial for engineers if they are to successfully address the challenges they face in their work. This book presents the selected proceedings of MMSE2023, the 9th International Conference on Advances in Machinery, Materials Science and Engineering Applications, jointly organized by the SAE-Supmeca, France and China University of Geosciences (Wuhan) and held on 22 and 23 July 2023 in Wuhan, China. For the past 12 years, this annual conference has collated recent advances and experiences, identified emerging trends and provided a platform for participants from academia and industry to exchange information and views, helping to address the world’s machinery and engineering challenges. The book contains 4 sections: mechanical engineering, material science and manufacturing technology; electrical engineering, automation and control; modeling, simulation and optimization techniques in engineering; and advanced engineering technologies and applications. A total of 241 submissions were received for MMSE2023, of which 151 papers were selected for the conference and for publication by means of a rigorous international peer-review process. These papers present exciting ideas and methods that will open novel research directions for different communities. Offering a current overview of the latest research and applications in machinery and materials-science engineering, the book will be of interest to all those working in the field.
