| 书目名称 | Topics in the Mathematical Modelling of Composite Materials | | 编辑 | Andrej V. Cherkaev,Robert Kohn | | 视频video | | | 概述 | Demonstrates interdisciplinary work in many physical problems involving optimal design, composite materials, and coherent phase transitions.Discusses future directions of research into effective modul | | 丛书名称 | Modern Birkhäuser Classics | | 图书封面 |  | | 描述 | .Over the past several decades, we have witnessed a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous materials. This activity brings together a number of related themes, including: (1) the use of weak convergence as a rigorous yet general language for the discussion of macroscopic behavior; (2) interest in new types of questions, particularly the "G-closure problem," motivated in large part by applications of optimal control theory to structural optimization; (3) the introduction of new methods for bounding effective moduli, including one based on "compensated compactness"; and (4) the identification of deep links between the analysis of microstructures and the multidimensional calculus of variations. This work has implications for many physical problems involving optimal design, composite materials, and coherent phase transitions. As a result, it has received attention and support from numerous scientific communities, including engineering, materials science, and physics, as well as mathematics. There is by now an extensive literature in this area. But for various reasons certain fundamental papers were never properly published, circulat | | 出版日期 | Book 2018 | | 关键词 | differential equations; optimal control; partial differential equations; optimization; extremal rigidity | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-97184-1 | | isbn_softcover | 978-3-319-97183-4 | | isbn_ebook | 978-3-319-97184-1Series ISSN 2197-1803 Series E-ISSN 2197-1811 | | issn_series | 2197-1803 | | copyright | Springer Nature Switzerland AG 2018 |
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发表于 2025-3-21 16:57:13
