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Topological Derivatives in Shape Optimization (Paperback, 2013 ed.) Loot Price: R6,356
Discovery Miles 63 560
Topological Derivatives in Shape Optimization (Paperback, 2013 ed.): Antonio Andre Novotny, Jan Sokolowski

Topological Derivatives in Shape Optimization (Paperback, 2013 ed.)

Antonio Andre Novotny, Jan Sokolowski

Series: Interaction of Mechanics and Mathematics

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Loot Price R6,356 Discovery Miles 63 560 | Repayment Terms: R596 pm x 12*

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The topological derivative is defined as the first term (correction) of the asymptotic expansion of a given shape functional with respect to a small parameter that measures the size of singular domain perturbations, such as holes, inclusions, defects, source-terms and cracks. Over the last decade, topological asymptotic analysis has become a broad, rich and fascinating research area from both theoretical and numerical standpoints. It has applications in many different fields such as shape and topology optimization, inverse problems, imaging processing and mechanical modeling including synthesis and/or optimal design of microstructures, fracture mechanics sensitivity analysis and damage evolution modeling. Since there is no monograph on the subject at present, the authors provide here the first account of the theory which combines classical sensitivity analysis in shape optimization with asymptotic analysis by means of compound asymptotic expansions for elliptic boundary value problems. This book is intended for researchers and graduate students in applied mathematics and computational mechanics interested in any aspect of topological asymptotic analysis. In particular, it can be adopted as a textbook in advanced courses on the subject and shall be useful for readers interested on the mathematical aspects of topological asymptotic analysis as well as on applications of topological derivatives in computation mechanics.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Interaction of Mechanics and Mathematics
Release date: December 2012
First published: 2013
Authors: Antonio Andre Novotny • Jan Sokolowski
Dimensions: 235 x 155 x 22mm (L x W x T)
Format: Paperback
Pages: 324
Edition: 2013 ed.
ISBN-13: 978-3-642-35244-7
Categories: Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > General
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LSN: 3-642-35244-8
Barcode: 9783642352447

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