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Variational Methods for Crystalline Microstructure: Analysis and Computation - Lecture Notes in Mathematics Georg Dolzmann 2003 edition
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Variational Methods for Crystalline Microstructure: Analysis and Computation - Lecture Notes in Mathematics
Georg Dolzmann
Phase transformations in solids typically lead to surprising mechanical behaviour with far reaching technological applications. The mathematical modeling of these transformations in the late 80s initiated a new field of research in applied mathematics, often referred to as mathematical materials science, with deep connections to the calculus of variations and the theory of partial differential equations. This volume gives a brief introduction to the essential physical background, in particular for shape memory alloys and a special class of polymers (nematic elastomers). Then the underlying mathematical concepts are presented with a strong emphasis on the importance of quasiconvex hulls of sets for experiments, analytical approaches, and numerical simulations.
217 pages, biography
| メディア | 書籍 Paperback Book (ソフトカバーで背表紙を接着した本) |
| リリース済み | 2002年11月26日 |
| ISBN13 | 9783540001140 |
| 出版社 | Springer-Verlag Berlin and Heidelberg Gm |
| ページ数 | 217 |
| 寸法 | 156 × 234 × 12 mm · 335 g |
| 言語 | 英語 |