Variational Methods for Structural Optimization

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Last edited by MARC Bot
September 28, 2024 | History

Variational Methods for Structural Optimization

In recent decades, it has become possible to turn the design process into computer algorithms. By applying different computer oriented methods the topology and shape of structures can be optimized and thus designs systematically improved. These possibilities have stimulated an interest in the mathematical foundations of structural optimization. The challenge of this book is to bridge a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engineering applications. The foundations of structural optimization are presented in a sufficiently simple form to make them available for practical use and to allow their critical appraisal for improving and adapting these results to specific models. Special attention is to pay to the description of optimal structures of composites; to deal with this problem, novel mathematical methods of nonconvex calculus of variation are developed. The exposition is accompanied by examples.

Publish Date
Publisher
Springer New York
Language
English
Pages
545

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Edition Availability
Cover of: Variational Methods for Structural Optimization
Variational Methods for Structural Optimization
2000, Island Press
in English
Cover of: Variational Methods for Structural Optimization
Variational Methods for Structural Optimization
2000, Springer New York
electronic resource / in English

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Book Details


Table of Contents

I Preliminaries. Introduction. Non-Convex Variational Problems
II Optimization of Conducting Composites
Conducting Composites. Conducting Composites of Extremal Energy. Optimization of Arbitrary Goal Functional
III Quasiconvex Envelope. Quasiconvex Envelope. Lower Bound: Translation Method. Minimizing Sequences. Algebra of Laminates. Upper Bounds and Extensions
IV Optimal Design of Elastic Constructions. Elasticity of Inhomogeneous Media. Elastic Mixtures of Extermal Rigidity. Plane Problem. Optimal Design
V Gm Closures
Bounds On G-Closures.

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
New York, NY
Series
Applied Mathematical Sciences -- 140, Applied mathematical sciences (Springer-Verlag New York Inc.) -- 140.

Classifications

Dewey Decimal Class
531
Library of Congress
QC120-168.85, QA808.2, QC1-75

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (xxvi, 545 p.)
Number of pages
545

Edition Identifiers

Open Library
OL27094091M
ISBN 10
1461270383, 1461211883
ISBN 13
9781461270386, 9781461211884
OCLC/WorldCat
853271446

Work Identifiers

Work ID
OL19909293W

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September 28, 2024 Edited by MARC Bot import existing book
July 8, 2019 Created by MARC Bot import new book