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.
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