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Author : David J. Bergman
Publisher :
ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.:/5 (37 download)
Download or read book Les méthodes de l'homogénéisation written by David J. Bergman and published by . This book was released on 1985 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gregoire Allaire
Publisher : Springer Science & Business Media
ISBN 13 : 1468492861
Total Pages : 470 pages
Book Rating : 4.4/5 (684 download)
Download or read book Shape Optimization by the Homogenization Method written by Gregoire Allaire and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the theory and numerical developments of the homogenization method. It's main features are: a comprehensive presentation of homogenization theory; an introduction to the theory of two-phase composite materials; a detailed treatment of structural optimization by using homogenization; a complete discussion of the resulting numerical algorithms with many documented test problems. It will be of interest to researchers, engineers, and advanced graduate students in applied mathematics, mechanical engineering, and structural optimization.
Author : Gianni Dal Maso
Publisher : Springer Science & Business Media
ISBN 13 : 1461203279
Total Pages : 351 pages
Book Rating : 4.4/5 (612 download)
Download or read book An Introduction to Γ-Convergence written by Gianni Dal Maso and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bernard Dacorogna
Publisher : Springer Science & Business Media
ISBN 13 : 3642514405
Total Pages : 312 pages
Book Rating : 4.6/5 (425 download)
Download or read book Direct Methods in the Calculus of Variations written by Bernard Dacorogna and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been a considerable renewal of interest in the clas sical problems of the calculus of variations, both from the point of view of mathematics and of applications. Some of the most powerful tools for proving existence of minima for such problems are known as direct methods. They are often the only available ones, particularly for vectorial problems. It is the aim of this book to present them. These methods were introduced by Tonelli, following earlier work of Hilbert and Lebesgue. Although there are excellent books on calculus of variations and on direct methods, there are recent important developments which cannot be found in these books; in particular, those dealing with vector valued functions and relaxation of non convex problems. These two last ones are important in appli cations to nonlinear elasticity, optimal design . . . . In these fields the variational methods are particularly effective. Part of the mathematical developments and of the renewal of interest in these methods finds its motivations in nonlinear elasticity. Moreover, one of the recent important contributions to nonlinear analysis has been the study of the behaviour of nonlinear functionals un der various types of convergence, particularly the weak convergence. Two well studied theories have now been developed, namely f-convergence and compen sated compactness. They both include as a particular case the direct methods of the calculus of variations, but they are also, both, inspired and have as main examples these direct methods.
Author : Luigi Ambrosio
Publisher : Springer
ISBN 13 : 3540448578
Total Pages : 176 pages
Book Rating : 4.5/5 (44 download)
Download or read book Optimal Transportation and Applications written by Luigi Ambrosio and published by Springer. This book was released on 2003-01-01 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampère and Monge-Kantorovich theory, shape optimization and mass transportation are linked, among others, to applications in fluid mechanics granular material physics and statistical mechanics, emphasizing the attractiveness of the subject from both a theoretical and applied point of view. The volume is designed to become a guide to researchers willing to enter into this challenging and useful theory.
Author : Andrej V. Cherkaev
Publisher : Springer
ISBN 13 : 3319971840
Total Pages : 327 pages
Book Rating : 4.3/5 (199 download)
Download or read book Topics in the Mathematical Modelling of Composite Materials written by Andrej V. Cherkaev and published by Springer. This book was released on 2018-09-18 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past several decades, we have witnessed a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous materials. This activity brings together a number of related themes, including: (1) the use of weak convergence as a rigorous yet general language for the discussion of macroscopic behavior; (2) interest in new types of questions, particularly the "G-closure problem," motivated in large part by applications of optimal control theory to structural optimization; (3) the introduction of new methods for bounding effective moduli, including one based on "compensated compactness"; and (4) the identification of deep links between the analysis of microstructures and the multidimensional calculus of variations. This work has implications for many physical problems involving optimal design, composite materials, and coherent phase transitions. As a result, it has received attention and support from numerous scientific communities, including engineering, materials science, and physics, as well as mathematics. There is by now an extensive literature in this area. But for various reasons certain fundamental papers were never properly published, circulating instead as mimeographed notes or preprints. Other work appeared in poorly distributed conference proceedings volumes. Still other work was published in standard books or journals, but written in Russian or French. The net effect is a sort of "gap" in the literature, which has made the subject unnecessarily difficult for newcomers to penetrate. The present, softcover reprint is designed to make this classic text available to a wider audience. "Summarizes some of the fundamental results achieved and offers new perspectives in the mechanics of composite and micromechanics... Will become a classic in the two fields." —Applied Mechanics Review
Author : Gianni Dal Maso
Publisher : World Scientific
ISBN 13 : 981453207X
Total Pages : 322 pages
Book Rating : 4.8/5 (145 download)
Download or read book Composite Media And Homogenization Theory written by Gianni Dal Maso and published by World Scientific. This book was released on 1995 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michel C. Delfour
Publisher : Springer Science & Business Media
ISBN 13 : 9401127107
Total Pages : 469 pages
Book Rating : 4.4/5 (11 download)
Download or read book Shape Optimization and Free Boundaries written by Michel C. Delfour and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shape optimization deals with problems where the design or control variable is no longer a vector of parameters or functions but the shape of a geometric domain. They include engineering applications to shape and structural optimization, but also original applications to image segmentation, control theory, stabilization of membranes and plates by boundary variations, etc. Free and moving boundary problems arise in an impressingly wide range of new and challenging applications to change of phase. The class of problems which are amenable to this approach can arise from such diverse disciplines as combustion, biological growth, reactive geological flows in porous media, solidification, fluid dynamics, electrochemical machining, etc. The objective and orginality of this NATO-ASI was to bring together theories and examples from shape optimization, free and moving boundary problems, and materials with microstructure which are fundamental to static and dynamic domain and boundary problems.
Author : Martin P. Bendsøe
Publisher : Springer Science & Business Media
ISBN 13 : 9401118043
Total Pages : 564 pages
Book Rating : 4.4/5 (11 download)
Download or read book Topology Design of Structures written by Martin P. Bendsøe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop, Sesimbra, Portugal, June 20-26, 1992
Author : Dominique Guerillot
Publisher : Editions TECHNIP
ISBN 13 : 9782710805892
Total Pages : 388 pages
Book Rating : 4.8/5 (58 download)
Download or read book Mathematics of Oil Recovery written by Dominique Guerillot and published by Editions TECHNIP. This book was released on 1990-12 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Didier Sornette
Publisher : Springer Science & Business Media
ISBN 13 : 366204174X
Total Pages : 445 pages
Book Rating : 4.6/5 (62 download)
Download or read book Critical Phenomena in Natural Sciences written by Didier Sornette and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern up-to-date introduction for readers outside statistical physics. It puts emphasis on a clear understanding of concepts and methods and provides the tools that can be of immediate use in applications.
Author : P. Pedersen
Publisher : Elsevier
ISBN 13 : 0444600302
Total Pages : 528 pages
Book Rating : 4.4/5 (446 download)
Download or read book Optimal Design with Advanced Materials written by P. Pedersen and published by Elsevier. This book was released on 2012-12-02 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal design with advanced materials is becoming a very progressive and challenging domain within applied mechanics. The increasing use of advanced materials, such as anisotropic fiber composites and ceramics, is instigating new developments to be made within constitutive modelling and the computational methods of analysis, sensitivity analysis and optimization. A new dimension of optimal design is being realised by the direct tailoring and building of new materials. Research in this area is accelerating rapidly with the results already being applied to high technology industries. Two vital high technology research areas covered in this volume include homogenization and smart materials/structures. The 31 papers will prove an indispensable reference source for all those involved in the interdisciplinary research and development aspects of mechanics, materials and mathematics in the design of advanced materials.
Author : Andreas Öchsner
Publisher : John Wiley & Sons
ISBN 13 : 3527621415
Total Pages : 439 pages
Book Rating : 4.5/5 (276 download)
Download or read book Cellular and Porous Materials written by Andreas Öchsner and published by John Wiley & Sons. This book was released on 2008-11-21 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing the reader with a solid understanding of the fundamentals as well as an awareness of recent advances in properties and applications of cellular and porous materials, this handbook and ready reference covers all important analytical and numerical methods for characterizing and predicting thermal properties. In so doing it directly addresses the special characteristics of foam-like and hole-riddled materials, combining theoretical and experimental aspects for characterization purposes.
Author : B.H. Topping
Publisher : Springer Science & Business Media
ISBN 13 : 9401724903
Total Pages : 656 pages
Book Rating : 4.4/5 (17 download)
Download or read book Optimization and Artificial Intelligence in Civil and Structural Engineering written by B.H. Topping and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume and its companion volume includes the edited versions of the principal lectures and selected papers presented at the NATO Advanced Study Institute on Optimization and Decision Support Systems in Civil Engineering. The Institute was held in the Department of Civil Engineering at Heriot-Watt University, Edinburgh from June 25th to July 6th 1989 and was attended by eighty participants from Universities and Research Institutes around the world. A number of practising civil and structural engineers also attended. The lectures and papers have been divided into two volumes to reflect the dual themes of the Institute namely Optimization and Decision Support Systems in Civil Engineering. Planning for this ASI commenced in late 1986 when Andrew Templeman and I discussed developments in the use of the systems approach in civil engineering. A little later it became clear that much of this approach could be realised through the use of knowledge-based systems and artificial intelligence techniques. Both Don Grierson and John Gero indicated at an early stage how important it would be to include knowledge-based systems within the scope of the Institute. The title of the Institute could have been: 'Civil Engineering Systems' as this would have reflected the range of systems applications to civil engineering problems considered by the Institute. These volumes therefore reflect the full range of these problems including: structural analysis and design; water resources engineering; geotechnical engineering; transportation and environmental engineering.
Author : Markus Kirkilionis
Publisher : Springer Science & Business Media
ISBN 13 : 3662052814
Total Pages : 427 pages
Book Rating : 4.6/5 (62 download)
Download or read book Trends in Nonlinear Analysis written by Markus Kirkilionis and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied mathematics is a central connecting link between scientific observations and their theoretical interpretation. Nonlinear analysis has surely contributed major developments which nowadays shape the face of applied mathematics. At the beginning of the millennium, all sciences are expanding at increased speed. Technological, ecological, economical and medical problem solving is a central issue of every modern society. Mathematical models help to expose fundamental structures hidden in these problems and serve as unifying tools to deepen our understanding. What are the new challenges applied mathematics has to face with the increased diversity of scientific problems? In which direction should the classical tools of nonlinear analysis be developed further? How do new available technologies influence the development of the field? How can problems be solved which have been beyond reach in former times? It is the aim of this book to explore new developments in the field by way of discussion of selected topics from nonlinear analysis.
Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 030904930X
Total Pages : 142 pages
Book Rating : 4.3/5 (9 download)
Download or read book Mathematical Research in Materials Science written by National Research Council and published by National Academies Press. This book was released on 1993-02-01 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes fruitful past collaborations between the mathematical and materials sciences and indicates future challenges. It seeks both to encourage mathematical sciences research that will complement vital research in materials science and to raise awareness of the value of quantitative methods. The volume encourages both communities to increase cross-disciplinary collaborations, emphasizing that each has much to gain from such an increase, and it presents recommendations for facilitating such work. This book is written for both mathematical and materials science researchers interested in advancing research at this interface; for federal and state agency representatives interested in encouraging such collaborations; and for anyone wanting information on how such cross-disciplinary, collaborative efforts can be accomplished successfully.
Author : Manohar P. Kamat
Publisher : AIAA
ISBN 13 : 9781600864049
Total Pages : 900 pages
Book Rating : 4.8/5 (64 download)
Download or read book Progress In Astronautics and Aeronautics written by Manohar P. Kamat and published by AIAA. This book was released on 1993 with total page 900 pages. Available in PDF, EPUB and Kindle. Book excerpt:
