文档介绍：P1: JZP
0521661471pre CUNY389/Abeyaratne 0 521 66147 1 January 25, 2006 11:20
EVOLUTION OF PHASE TRANSITIONS
This work began with the authors’ exploration of the applicability of the
finite deformation theory of elasticity when various standard assumptions
such as convexity of the energy or ellipticity of the field equations of equi-
librium 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 a valuable work for those inter-
ested 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 ic relation that in the framework of clas-
sical 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, material scientists, geophysi-
cists, and applied mathematicians.
Rohan Abeyaratne is the Quentin Berg Professor of Mechanics and Head
of the Department of Mechanical Engineering at MIT. He received his
bachelor’s degree from the University of Ceylon and his doctorate from the
California Institute of Technology. Among his honors are the . Pereira
Gold Medal (1975), Den Hartog Distinguished Educator (1995), MacVicar
Fellowship (2000), Fellow, American Academy of Mechanics (1996) and
Fellow, American Society of Mechanical Engineers (1998). His primary
research interest is in nonlinear phenomena in mechanics.
James K. Knowles is the William R. Kenan Professor of Applied Mechanics,
Emeritus, at the California Institute of Technology. He received his . and
. degrees from MIT, and he holds an honorary