| 书目名称 | Shape Optimization by the Homogenization Method |
| 编辑 | Grégoire Allaire |
| 视频video | |
| 丛书名称 | Applied Mathematical Sciences |
| 图书封面 |  |
| 描述 | The topic of this book is homogenization theory and its applications to optimal design in the conductivity and elasticity settings. Its purpose is to give a self-contained account of homogenization theory and explain how it applies to solving optimal design problems, from both a theoretical and a numerical point of view. The application of greatest practical interest tar geted by this book is shape and topology optimization in structural design, where this approach is known as the homogenization method. Shape optimization amounts to finding the optimal shape of a domain that, for example, would be of maximal conductivity or rigidity under some specified loading conditions (possibly with a volume or weight constraint). Such a criterion is embodied by an objective function and is computed through the solution of astate equation that is a partial differential equa tion (modeling the conductivity or the elasticity of the structure). Apart from those areas where the loads are applied, the shape boundary is al ways assumed to support Neumann boundary conditions (i. e. , isolating or traction-free conditions). In such a setting, shape optimization has a long history and has been studie |
| 出版日期 | Textbook 2002 |
| 关键词 | algorithm; analysis; mathematical modeling; mathematics; mechanical engineering; model; modeling; optimizat |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4684-9286-6 |
| isbn_softcover | 978-1-4419-2942-6 |
| isbn_ebook | 978-1-4684-9286-6Series ISSN 0066-5452 Series E-ISSN 2196-968X |
| issn_series | 0066-5452 |
| copyright | Springer-Verlag New York 2002 |
发表于 2025-3-21 19:28:55
