Microstructure and Phase Transition (Paperback)

David Kinderlehrer

ISBN 10: 1461383625 / ISBN 13: 9781461383628

Editore: Springer-Verlag New York Inc., New York, NY, 2011

Riguardo questo articolo

Paperback. 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. 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." Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Codice articolo 9781461383628

Dati bibliografici

• Titolo: Microstructure and Phase Transition (Paperback)
• Editore: Springer-Verlag New York Inc., New York, NY
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 1461383625
• ISBN 13: 9781461383628
• Rilegatura: Paperback
• Condizione: new

Descrizione articolo

Riassunto

This book presents recent research and experiments on the behavior of crystalline solids. The articles address a variety of relevant technological applications and introduce a number of powerful new methods for dealing with the material. The book should be useful to both applied mathematicians and engineers alike.

Contenuti

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.