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.

Bibliographic Information

Book Title: Variational Methods for Crystalline Microstructure - Analysis and Computation
Authors: Georg Dolzmann
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b10191
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2003
Softcover ISBN: 978-3-540-00114-0Published: 26 November 2002
eBook ISBN: 978-3-540-36125-1Published: 23 October 2004
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XI, 217
Topics: Mathematics, general, Condensed Matter Physics, Partial Differential Equations, Numerical Analysis, Mathematical Methods in Physics, Classical Mechanics

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Variational Methods for Crystalline Microstructure - Analysis and Computation

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