Microstructure and phase transition
著者
書誌事項
Microstructure and phase transition
（The IMA volumes in mathematics and its applications, v. 54）
Springer-Verlag, c1993
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注記
Includes bibliographical references
内容説明・目次
- 巻冊次
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ISBN 9780387941127
内容説明
This IMA Volume in Mathematics and its Applications MICROSTRUCTURE AND PHASE TRANSITION is based on the proceedings of a workshop which was an integral part of the 1990-91 IMA program on "Phase Transitions and Free Boundaries." We thank R. Fosdick, M.E. Gurtin, W.-M. Ni and L.A. Peletier for organizing the year-long program and, especially, D. Kinderlehrer, R. James, M. Luskin and J. Ericksen for organizing the meeting and editing these proceedings. We also take this opportunity to thank those agencies whose financial support made the workshop possible: the Army Research Office, and the National Science Foun- dation. A vner Friedman Willard Miller. Jr. PREFACE Much of our traditional knowledge of materials and processes is achievf'd by observa- tion and analysis of small departures from equilibrium. Many materials, especially modern alloys, ceramics, and their composites, experience not only larger but more dramatic changes, such as the occurrence of phase transitions and t.he creation of defect structures, when viewed at the microscopic scale. How is this observed, how can it be interpreted, and how does it influence macroscopic behavior?
These are the principle concerns of this volume, which constitutes the proceedings of an IMA workshop dedicated to these issues.
目次
The microstructure of Martensite and its implications for the shape-memory effect.- Approximation and oscillations.- Computation of twinning.- Computational results for a two-dimensional model of crystalline microstructure.- Local bifurcation theory for thermoelastic Bravais lattices.- Geometric parameters and the relaxation of multiwell energies.- Variational problems for crystals with defects.- The concept of a laminate.- Multiply twinned phases and microstructures in Ni-Al: A transmission electron microscopy study.- Phase transformations in ?-phase shape memory alloys studied by Hraem, Alchemi and X-Ray diffraction.- On the problem of two wells.- Some remarks on separately convex functions.- New variational problems in the statics of liquid crystals.
- 巻冊次
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ISBN 9783540941125
内容説明
This volume contains articles based on recent research and experiments concerning microstructure and phase transition, collected by the Institute for Mathematics and its Applications. The book provides a critique of current progress in some of the powerful new methods introduced to study questions on the behaviour of crystalline solids, as well as recent experimental results. These articles utilize nonlinear theory as a way to understand and control this behaviour. Many potentially relevant technological applications are addressed, including shape memory materials, non-linear dielectrics and ferroelectrics, magnetostrictive materials, composites or other materials fabricated or devised to promote special properties.
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