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OverviewPhase 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. Full Product DetailsAuthor: Georg DolzmannPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 2003 ed. Volume: 1803 Dimensions: Width: 15.50cm , Height: 1.20cm , Length: 23.50cm Weight: 0.720kg ISBN: 9783540001140ISBN 10: 354000114 Pages: 217 Publication Date: 26 November 2002 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of print, replaced by POD  We will order this item for you from a manufatured on demand supplier. Table of ContentsIntroduction.- 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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