ENGLISH

Variational Methods for Crystalline Microstructure - Analysis and Computation

By Georg Dolzmann

Book information

Publisher
Springer
Year
2003
ISBN
354000114X, 9783540001140
Open Library ID
OL9053656M
Language
english
Format
PDF
Filesize
2 MB (1844204 bytes)
Edition
1
Pages
217\217
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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.

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