Variational Methods for Crystalline Microstructure : Analysis and Computation book
Variational Methods for Crystalline Microstructure : Analysis and Computation book

Variational Methods for Crystalline Microstructure : Analysis and Computation.cGeorg Dolzmann
Variational Methods for Crystalline Microstructure : Analysis and Computation
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Author: Georg Dolzmann
Page Count: 217 pages
Published Date: 01 Jan 2003
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Publication Country: Berlin, Germany
Language: English
Type: PDF
ISBN: 9783540001140
File Name: Variational.Methods.for.Crystalline.Microstructure.Analysis.and.Computation.pdf
Download Link: Variational Methods for Crystalline Microstructure Analysis and Computation
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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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