| 书目名称 | Topological Derivatives in Shape Optimization |
| 编辑 | Antonio André Novotny,Jan Sokołowski |
| 视频video | |
| 概述 | First monograph describing in details the new developments in shape optimization for elliptic boundary value problems.Presents a wide spectrum of examples and techniques for.learning how to use the mo |
| 丛书名称 | Interaction of Mechanics and Mathematics |
| 图书封面 |  |
| 描述 | .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 a |
| 出版日期 | Book 2013 |
| 关键词 | Applied Mathematics; Asymptotic Analysis; Computational Mechanics; Elliptic Boundary Value; Shape Optimi |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-35245-4 |
| isbn_softcover | 978-3-642-35244-7 |
| isbn_ebook | 978-3-642-35245-4Series ISSN 1860-6245 Series E-ISSN 1860-6253 |
| issn_series | 1860-6245 |
| copyright | Springer-Verlag Berlin Heidelberg 2013 |
发表于 2025-3-21 17:46:55
