Evolution of Phase Transitions: A Continuum Theory [Hardcover]

Rohan Abeyaratne (Author), James K. Knowles (Author)

Book Description

ISBN-10: 0521661471 | ISBN-13: 978-0521661478 | Publication Date: May 8, 2006

This 2006 work began with the author's exploration of the applicability of the finite deformation theory of elasticity when various standard assumptions such as convexity of various energies or ellipticity of the field equations of equilibrium are relinquished. The finite deformation theory of elasticity turns out to be a natural vehicle for the study of phase transitions in solids where thermal effects can be neglected. This text will be of interest to those interested in the development and application of continuum-mechanical models that describe the macroscopic response of materials capable of undergoing stress- or temperature-induced transitions between two solid phases. The focus is on the evolution of phase transitions which may be either dynamic or quasi-static, controlled by a kinetic relation which in the framework of classical thermomechanics represents information that is supplementary to the usual balance principles and constitutive laws of conventional theory.

Editorial Reviews

Review

Review of the hardback: 'Wherever possible, Abeyaratne and Knowles connect phenomenological and experimental results. Aside from comparisons between analytical predictions and experiments on shape-memory wires, the authors use their framework to model experiments involving phase transformations induced by high-speed impact. To some extent, links between atomistic and continuum models for kinetics are also explored. This book is a unique, valuable, and elegantly written contribution to the literature on phase transformations. It should be included in the library of any mechanician, applied mathematician, or material scientist interested in martensitic alloys. Others working on broader classes of phase transformations will also find this book to be worthwhile reading. It is physically well-motivated, mathematically sound, and eminently clear.' Theoretical and Computational Fluid Dynamics

Book Description

This 2006 study will be of interest to those interested in the development and application of continuum-mechanical models that describe the macroscopic response of materials capable of undergoing stress- or temperature-induced transitions between two solid phases.

See all Editorial Reviews

Product Details

• Hardcover: 258 pages
• Publisher: Cambridge University Press (May 8, 2006)
• Language: English
• ISBN-10: 0521661471
• ISBN-13: 978-0521661478
• Product Dimensions: 10.1 x 7.2 x 0.8 inches
• Shipping Weight: 1.5 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #1,801,594 in Books (See Top 100 in Books)

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5.0 out of 5 stars very useful, April 26, 2011

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Mohsen "Mohsen" (Canada) - See all my reviews

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This review is from: Evolution of Phase Transitions: A Continuum Theory (Hardcover)

This is a very good work by Rohan Abeyaratne and James K. Knowles who are famous persons in this field. The book has mainly been written based on the authors' publication thought they have partially provided topics from others. The first things that comes to my mind about this book is that it is clear. It doesn't suffer mathematical complexities and it is ideal to learn the elements of phase transformation (PT) in solids. Most of important features of PT are described in deformation of a simple 1D wire undergoing PT. Finally there is a nice connection to higher dimensional problems. They mostly have provided numerical results based on a special trilinear constitutive relation that brings a nice colsed-form explicit conclusions. They are not dealing much with convexity analysis. Most of the cases are diffusion-less PT. There is a nice description on shape-memory effect.