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Variational Methods for Crystalline Microstructure - Analysis and Computation PDF

222 Pages·2003·2.613 MB·English
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by Georg Dolzmann (auth.)| 2003| 222 pages| 2.613| English

About Variational Methods for Crystalline Microstructure - Analysis and Computation

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.

Detailed Information

Author:Georg Dolzmann (auth.)
Publication Year:2003
ISBN:9783540001140
Pages:222
Language:English
File Size:2.613
Format:PDF
Price:FREE
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