Variational Methods for Structural Optimization (Applied Mathematical Sciences, Band 140) - Softcover

Cherkaev, Andrej

Softcover

ISBN 10: 1461270383 ISBN 13: 9781461270386

Verlag: Springer, 2012

Inhaltsangabe

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.

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This book treats two sets of mathematical problems that are closely related to each other. The first kind is structural optimization problems which asks about inner structure of an inhomogeneous body which is designed to be optimal in some sense. The description of optimal microstructures is the second topic of this book.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2012
• Sprache: Englisch
• ISBN 10: 1461270383
• ISBN 13: 9781461270386
• Einband: Taschenbuch
• Anzahl der Seiten: 574
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland