ENGLISH

Evolution of phase transitions: a continuum theory

By Rohan Abeyaratne , James K. Knowles

Book information

Publisher
Cambridge University Press
Year
2006
ISBN
0521661471, 9780521661478, 9780511168925
LCC
QC175.16.P5 A24 2006
Open Library ID
OL22731188M
Language
english
Format
PDF
Filesize
2 MB (1791560 bytes)
Pages
258\258
Library
Kolxo3
Time added
2009-07-20 03:45:11

Description

This 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 is an essential work 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. The book should be of interest to mechanicians, materials scientists, geophysicists, and applied mathematicians.

Similar books