Variational Methods for Structural Optimization

By:

Andrej Cherkaev

Format:

Paperback / softback

Series:

Applied Mathematical Sciences,

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Description

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.

Release date Australia

September 24th, 2012

Author

Andrej Cherkaev

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 2000

Illustrations

XXVI, 548 p.

Pages

548

Series

Applied Mathematical Sciences,

Dimensions

155x235x30

ISBN-13

9781461270386

Product ID

21691959

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