ENGLISH

Topological Derivatives in Shape Optimization

By Jan , Novotný , Antonio André;Sokolowski , Jan;Sokoowski

Book information

Publisher
Springer
Year
2014
ISBN
9783642352447, 9783642352454, 3642352456
Language
english
Format
PDF
Filesize
4 MB (3725155 bytes)
Series
Interaction of mechanics and mathematics series
Pages
423 pages\423
Time added
2020-07-26 19:24:52
Electronic books

Description

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 synthesi.

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