| 书目名称 | Topics in the Mathematical Modelling of Composite Materials |
| 编辑 | Andrej Cherkaev,Robert Kohn |
| 视频video | |
| 丛书名称 | Progress in Nonlinear Differential Equations and Their Applications |
| 图书封面 |  |
| 描述 | Andrej V. Cherkaev and Robert V. Kohn In the past twenty years we have witnessed a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous mate rials. 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 "com pensated 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 |
| 出版日期 | Book 1997 |
| 关键词 | Mathematica; calculus; differential equation; equation; mathematics; modeling; optimal control; optimizatio |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4612-2032-9 |
| isbn_softcover | 978-1-4612-7390-5 |
| isbn_ebook | 978-1-4612-2032-9Series ISSN 1421-1750 Series E-ISSN 2374-0280 |
| issn_series | 1421-1750 |
| copyright | Springer Science+Business Media New York 1997 |
发表于 2025-3-21 18:32:06
