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Synopsis
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.
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Review
From the reviews:
"The book is a research monograph, but the structure and completeness of the presentation means that the book constitutes a good basis for a graduate course in applied mathematics. The rigorous mathematical presentation is supplemented with numerous remarks and comments which discuss the subject in broader terms, greatly simplifying the reading process. ... The book is a welcome and up-to-date addition to the literature in the area and it is necessary reading for any researcher and student ..." (M.P. Bendsøe, Structural Multidisciplinary Optimization, 5, 2002)
"The book is very well structured, very clearly written, very well motivated, and complete in its treatment of modelling, analysis and simulation. It will be a basic reference for whoever wants to deeply understand homogenization from the point of view of its application to optimal design. The treatment is right to the point, a quality that is very much appreciated by readers. In summary, I believe this text may become a main source for the subject of optimal design and shape optimization." (Pablo Pedregal, Mathematical Reviews, 2002 h)
"The book under review presents a comprehensive introduction to the homogenisation method applied to optimal design, including many proofs which were hitherto only scattered throughout the literature ... this one provides the most complete treatment of numerical methods ... A number of realistic examples, mostly for elasticity, has been developed in detail. ... In summary, we would like to warmly recommend this book to anybody working in optimal shape design, composites and homogenisation, as well to those who wish to enter these fields." (Nenad Antonic and Marko Vrdoljak, Zentralblatt MATH, 990:15, 2002)
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- PublisherSpringer
- Publication date2001
- ISBN 10 0387952985
- ISBN 13 9780387952987
- BindingHardcover
- LanguageEnglish
- Number of pages474
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SHAPE OPTIMIZATION BY THE HOMOGENIZATION METHOD
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Dura. Condition: New. Dust Jacket Condition: Nuevo. No Aplica (illustrator). 0. This book offers a self-contained introduction to the theory and numerical developments of the homogenization method. It provides a detailed presentation of homogenization theory, focusing on its application to optimal design. It contains many new results no previously published as well as results that are well known butt until now not adequately referenced in the literature. Numerical algorithms previously published only in journal form are now synthesized and systematically analyzed. This book is intended for an audience of researchers, engineers, and advanced graduate students in appllied mathematics, mechanical engineering, and structural optimization. The more mathematically oriented reader can learn about homogenization and relaxation of optimal design problems, while the more practically inclined reader can be introduced to state-of-the-art numerical algorithms in structural optimization by the homogenizaion method. 800 gr. Libro. Seller Inventory # 9780387952987LEA18798
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Shape Optimization by the Homogenization Method
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Springer New York Okt 2001, 2001
ISBN 10: 0387952985
ISBN 13: 9780387952987
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The topic of this book is homogenization theory and its applications to optimal design in the conductivity and elasticity settings. Its purpose is to give a self-contained account of homogenization theory and explain how it applies to solving optimal design problems, from both a theoretical and a numerical point of view. The application of greatest practical interest tar geted by this book is shape and topology optimization in structural design, where this approach is known as the homogenization method. Shape optimization amounts to finding the optimal shape of a domain that, for example, would be of maximal conductivity or rigidity under some specified loading conditions (possibly with a volume or weight constraint). Such a criterion is embodied by an objective function and is computed through the solution of astate equation that is a partial differential equa tion (modeling the conductivity or the elasticity of the structure). Apart from those areas where the loads are applied, the shape boundary is al ways assumed to support Neumann boundary conditions (i. e. , isolating or traction-free conditions). In such a setting, shape optimization has a long history and has been studied by many different methods. There is, therefore, a vast literat ure in this field, and we refer the reader to the following short list of books, and references therein [39], [42], [130], [135], [149], [203], [220], [225], [237], [245], [258]. 480 pp. Englisch. Seller Inventory # 9780387952987
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Shape Optimization by the Homogenization Method
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ISBN 10: 0387952985
ISBN 13: 9780387952987
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 detail. Seller Inventory # 5912451
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Shape Optimization by the Homogenization Method (Applied Mathematical Sciences)
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Shape Optimization by the Homogenization Method
Published by
Springer New York, Springer US, 2001
ISBN 10: 0387952985
ISBN 13: 9780387952987
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The topic of this book is homogenization theory and its applications to optimal design in the conductivity and elasticity settings. Its purpose is to give a self-contained account of homogenization theory and explain how it applies to solving optimal design problems, from both a theoretical and a numerical point of view. The application of greatest practical interest tar geted by this book is shape and topology optimization in structural design, where this approach is known as the homogenization method. Shape optimization amounts to finding the optimal shape of a domain that, for example, would be of maximal conductivity or rigidity under some specified loading conditions (possibly with a volume or weight constraint). Such a criterion is embodied by an objective function and is computed through the solution of astate equation that is a partial differential equa tion (modeling the conductivity or the elasticity of the structure). Apart from those areas where the loads are applied, the shape boundary is al ways assumed to support Neumann boundary conditions (i. e. , isolating or traction-free conditions). In such a setting, shape optimization has a long history and has been studied by many different methods. There is, therefore, a vast literat ure in this field, and we refer the reader to the following short list of books, and references therein [39], [42], [130], [135], [149], [203], [220], [225], [237], [245], [258]. Seller Inventory # 9780387952987
Quantity: 1 available