Variational Methods for Crystalline Microstructure - Analysis and Computation 2003 Edition Contributor(s): Dolzmann, Georg (Author) |
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ISBN: 354000114X ISBN-13: 9783540001140 Publisher: Springer OUR PRICE: $66.45 Product Type: Paperback - Other Formats Published: November 2002 Annotation: 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. |
Additional Information |
BISAC Categories: - Science | Nanoscience - Medical - Mathematics | Differential Equations - General |
Dewey: 620.112 |
LCCN: 2002036690 |
Series: Lecture Notes in Mathematics |
Physical Information: 0.52" H x 6.14" W x 9.3" (0.74 lbs) 217 pages |
Descriptions, Reviews, Etc. |
Publisher 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. |