书目名称 | Variational Methods for Crystalline Microstructure - Analysis and Computation |
编辑 | Georg Dolzmann |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | .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.. |
出版日期 | Book 2003 |
关键词 | Crystallography; REM; microstructures; nematic elastomers; numerics of microstructures; quasiconvexity; se |
版次 | 1 |
doi | https://doi.org/10.1007/b10191 |
isbn_softcover | 978-3-540-00114-0 |
isbn_ebook | 978-3-540-36125-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2003 |