Overview

Martensites are crystalline solids that display dazzling patterns at the microscopic scales. This microstructure gives rise to unusual macroscopic properties like the shape-memory effect. Starting with the crystalline structure, this book describes a theoretical framework for studying martensites and uses the theory to explain why these materials form microstructure. The macroscopic consequences of the microstructure are subsequently discussed. Complete with a piece of shape-memory wire and numerous examples from real materials, this book represents a successful case study in multiscale modelling, giving a clear understanding of the link between microstructure and macroscopic properties. Beautifully written, in a most clear and pedagogical manner, it holds appeal for a broad audience. On the one hand, it introduces modern modelling techniques to those trained in materials science, mechanics and physics, and shows how these techniques can be used in real-world problems. On the other hand, it introduces physical phenomena to those trained in mathematics, and demonstrates how such phenomena give rise to interesting mathematical problems.

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9780198509349

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Reviews

A remarkable effort of the author is that of presenting an issue that usually requires nontrivial mathematical techniques in a format accessible not only to experts. --Mathematical Reviews<br>

`There is certainly great need for this book. There is nothing quite like it.' Robert V. Kohn, Courant Institute of Mathematical Sciences `Bhattacharya has described the modern theory in the clearest and most pedagogical way that I have seen. It will be a very valuable addition to the literature on martensite.' Adrian P. Sutton FRS, University of Oxford `Bhattacharya explains in simple terms various ideas that only otherwise are available in the mathematical literature and completely unaccessible to a materials scientist... There is no comparable text out there.' Richard D. James, University of Minnesota `A remarkable effort of the author is that of presenting an issue that usually requires nontrivial mathematical techniques in a format accessible not only to experts.' Mathematical Reviews, 2007 `Bhattacharya is one of the top researchers in this field and perhaps the finest expositor of this material that I know.' Rohan Abeyaratne, Massachusetts Institute of Technology

<br> A remarkable effort of the author is that of presenting an issue that usually requires nontrivial mathematical techniques in a format accessible not only to experts. --Mathematical Reviews<p><br>

<br> A remarkable effort of the author is that of presenting an issue that usually requires nontrivial mathematical techniques in a format accessible not only to experts. --Mathematical Reviews<br>

Author Information

Kaushik Bhattacharya is Professor of Mechanics and Materials Science at the California Institute of Technology. He received a NSF Young Investigator Award in 1994, the Charles Lee Powell Award in 1997 and in 2002, was invited to take part in the Frontiers of Engineering Symposium organised by the National Academy of Engineering. He is a member of various editorial boards.

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