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

Cherkaev, Andrej

ISBN 10: 0387984623 / ISBN 13: 9780387984629

Published by Springer, 2000

About this Item

Seller Inventory # SHUB90275

Bibliographic Details

• Title: Variational Methods for Structural Optimization (Applied Mathematical Sciences, 140)
• Publisher: Springer
• Publication Date: 2000
• Language: English
• ISBN 10: 0387984623
• ISBN 13: 9780387984629
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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.