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Homogenization Of Reticulated Structures


Homogenization Of Reticulated Structures
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Homogenization Of Reticulated Structures


Homogenization Of Reticulated Structures
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Author : Doina Cioranescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Homogenization Of Reticulated Structures written by Doina Cioranescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Materials science is an area of growing research as composite materials become widely used in such areas as civil engineering, electrotechnics, and the aerospace industry. This mathematically rigorous treatment of lattice-type structures will appeal to both applied mathematicians, as well as engineers looking for a solid mathematical foundation of the methodology.



Mechanics Of Periodically Heterogeneous Structures


Mechanics Of Periodically Heterogeneous Structures
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Author : L.I. Manevitch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Mechanics Of Periodically Heterogeneous Structures written by L.I. Manevitch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Technology & Engineering categories.


Rigorous presentation of Mathematical Homogenization Theory is the subject of numerous publications. This book, however, is intended to fill the gap in the analytical and numerical performance of the corresponding asymptotic analysis of the static and dynamic behaviors of heterogenous systems. Numerous concrete applications to composite media, heterogeneous plates and shells are considered. A lot of details, numerical results for cell problem solutions, calculations of high-order terms of asymptotic expansions, boundary layer analysis etc., are included.



Asymptotical Mechanics Of Thin Walled Structures


Asymptotical Mechanics Of Thin Walled Structures
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Author : Igor V. Andrianov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Asymptotical Mechanics Of Thin Walled Structures written by Igor V. Andrianov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.


In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and their applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.



Research Directions In Distributed Parameter Systems


Research Directions In Distributed Parameter Systems
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Author : Ralph C. Smith
language : en
Publisher: SIAM
Release Date : 2003-01-01

Research Directions In Distributed Parameter Systems written by Ralph C. Smith and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Biomedical modeling and computing categories.


Written by the plenary speakers for the Conference on Future Directions in Distributed Parameter Systems (October 2000), the volume addresses the state of the art, open questions, and important research directions in applications modeled by partial differential equations and delay systems. Topics include electromagnetic theory for dielectric and conductive materials, flow control, cardiovascular and respiratory models, homogenization and systems theory, optimal and geometric control, reduced-order models for large-scale systems, smart materials, and nondestructive evaluation and structural health monitoring for systems, including nuclear power plants.



Optimal Control Problems For Partial Differential Equations On Reticulated Domains


Optimal Control Problems For Partial Differential Equations On Reticulated Domains
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Author : Peter I. Kogut
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-09

Optimal Control Problems For Partial Differential Equations On Reticulated Domains written by Peter I. Kogut and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-09 with Science categories.


In the development of optimal control, the complexity of the systems to which it is applied has increased significantly, becoming an issue in scientific computing. In order to carry out model-reduction on these systems, the authors of this work have developed a method based on asymptotic analysis. Moving from abstract explanations to examples and applications with a focus on structural network problems, they aim at combining techniques of homogenization and approximation. Optimal Control Problems for Partial Differential Equations on Reticulated Domains is an excellent reference tool for graduate students, researchers, and practitioners in mathematics and areas of engineering involving reticulated domains.



Progress In Computational Physics Picp


Progress In Computational Physics Picp
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Author : Matthias Ehrhardt
language : en
Publisher: Bentham Science Publishers
Release Date : 2010-11-13

Progress In Computational Physics Picp written by Matthias Ehrhardt and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-13 with Science categories.


Progress in Computational Physics is a new e-book series devoted to recent research trends in computational physics. It contains chapters contributed by outstanding experts of modeling of physical problems. The series focuses on interdisciplinary computat



Multi Scale Modelling For Structures And Composites


Multi Scale Modelling For Structures And Composites
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Author : G. Panasenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-06-15

Multi Scale Modelling For Structures And Composites written by G. Panasenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-15 with Mathematics categories.


Numerous applications of rod structures in civil engineering, aircraft and spacecraft confirm the importance of the topic. On the other hand the majority of books on structural mechanics use some simplifying hypotheses; these hypotheses do not allow to consider some important effects, for instance the boundary layer effects near the points of junction of rods. So the question concerning the limits of applicability of structural mechanics hypotheses and the possibilities of their refinement arise. In this connection the asymptotic analysis of equations of mathematical physics, the equations of elasticity in rod structures (without these hypotheses and simplifying assumptions being imposed) is undertaken in the present book. Moreover, a lot of modern structures are made of composite materials and therefore the material of the rods is not homogeneous. This inhomogeneity of the material can generate some unexpected effects. These effects are analysed in this book. The methods of multi-scale modelling are presented by the homogenization, multi-level asymptotic analysis and the domain decomposition. These methods give an access to a new class of hybrid models combining macroscopic description with "microscopic zooms".



Mechanics Of Generalized Continua


Mechanics Of Generalized Continua
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Author : Gérard A. Maugin
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-24

Mechanics Of Generalized Continua written by Gérard A. Maugin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-24 with Mathematics categories.


In their 1909 publication Théorie des corps déformables, Eugène and François Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers. The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics and can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics.



Topology Optimization


Topology Optimization
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Author : Martin Philip Bendsoe
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Topology Optimization written by Martin Philip Bendsoe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.


The topology optimization method solves the basic enginee- ring problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design which is concerned with the optimization of structural topology, shape and material. This edition, has been substantially revised and updated to reflect progress made in modelling and computational procedures. It also encompasses a comprehensive and unified description of the state-of-the-art of the so-called material distribution method, based on the use of mathematical programming and finite elements. Applications treated include not only structures but also materials and MEMS.



Shell Structures Theory And Applications


Shell Structures Theory And Applications
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Author : Wojciech Pietraszkiewicz
language : en
Publisher: CRC Press
Release Date : 2005-09-22

Shell Structures Theory And Applications written by Wojciech Pietraszkiewicz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-22 with Technology & Engineering categories.


Shells are basic structural elements of modern technology. Examples of shell structures include automobile bodies, domes, water and oil tanks, pipelines, ship hulls, aircraft fuselages, turbine blades, laudspeaker cones, but also balloons, parachutes, biological membranes, a human skin, a bottle of wine or a beer can. This volume contains full texts of over 100 papers presented by specialists from over 20 countries at the 8th Conference "Shell Structures: Theory and Applications", 12-14 October, 2005 in Jurata (Poland). The aim of the meeting was to bring together scientists, designers, engineers and other specialists in shell structures in order to discuss important results and new ideas in this field. The goal is to pursue more accurate theoretical models, to develop more powerful and versatile methods of analysis, and to disseminate expertise in design and maintenance of shell structures. Among the authors there are many distinguished specialists of shell structures, including the authors of general lectures: I.V. Andrianov (Ukraine), V.A. Eremeyev (Russia), A. Ibrahimbegovic (France), P. Klosowski (Poland), B.H. Kröplin (Germany), E. Ramm (Germany), J.M. Rotter (UK) and D. Steigmann (USA). The subject area of the papers covers various theoretical models and numerical analyses of strength, dynamics, stability, optimization etc. of different types of shell structures, their design and maintenance, as well as modelling of some surface-related mechanical phenomena.