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Field name	Details
Dewey Class	510
Title	Variational Methods for Crystalline Microstructure - Analysis and Computation ([EBook] /) / by Georg Dolzmann.
Author	Dolzmann, Georg
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2003.
Physical Details	XI, 217 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1803
ISBN	9783540361251
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/b10191
Links to Related Works	Subject References: Classical Mechanics . Condensed matter . Condensed Matter Physics . Mathematical Methods in Physics . Mathematics . Mathematics, general . Numerical Analysis . Partial differential equations . Physics . Authors: Dolzmann, Georg . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 510 .

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Variational Methods for Crystalline Microstructure - Analysis and Computation

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