Variational Methods for Crystalline Microstructure - Analysis and Computation: 1803 - Brossura

Dolzmann, Georg

 
9783540001140: Variational Methods for Crystalline Microstructure - Analysis and Computation: 1803
Brossura
ISBN 10: 354000114X ISBN 13: 9783540001140
Casa editrice: Springer, 2008

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

Introduction.- Semiconvex Hull of Compact Sets.- Macroscopic Energy for Nematic Elastomers.- Uniqueness and Stability of Microstructure.- Applications to Martensitic Transformations.- Algorithmic Aspects.- Bibliographic Remarks.- A. Convexity Conditions and Rank-one Connections.- B. Elements of Crystallography.- C. Notation.- References.- Index.

Product Description

Book by Dolzmann Georg

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2008
Lingua
Inglese
ISBN 10 
354000114X
ISBN 13 
9783540001140
Rilegatura
Copertina flessibile
Numero di pagine
228
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