Evolution of Phase Transitions: A Continuum Theory - Hardcover

Abeyaratne, Rohan; Knowles, James K.

Hardcover

ISBN 10: 0521661471 ISBN 13: 9780521661478

Publisher: Cambridge University Press, 2006

Synopsis

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.

About this title

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.

About the Author

Professor James K. Knowles is the William R. Kenan, Jr. Professor of Applied Mechanics. He received his Ph.D. from the Massachusetts Institute of Technology, D.Sc.h.c., National University of Ireland, and has received the following awards: Goodwin Medal for Effective Teaching, MIT (1955), Award of the Associated Students of Caltech for Excellence in Teaching (1984, 1985), Award of the Caltech Graduate Student Council for Exceptional Teaching (1993); Fellow, American Academy of Mechanics; Fellow, American Society of Mechanical Engineers; President of the American Academy of Mechanics, 1985-86; Eringen Medal, Society of Engineering Science (1991). He is the author of Linear Vector Spaces and Cartesian Tensors (1997) and numerous articles in refereed journals.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2006
• Language: English
• ISBN 10: 0521661471
• ISBN 13: 9780521661478
• Binding: Hardcover
• Edition number: 1
• Number of pages: 260